# Sparse and Dense Matrix Classes and Methods

## Documentation for package ‘Matrix’ version 1.2-18

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

A B C D E F G H I K L M N O P Q R S T U W X Z misc

## -- A --

abIndex-class | Class "abIndex" of Abstract Index Vectors
abIseq | Sequence Generation of "abIndex", Abstract Index Vectors
abIseq1 | Sequence Generation of "abIndex", Abstract Index Vectors
all-method | "Matrix" Methods for Functions all() and any()
all-method | Class "diagonalMatrix" of Diagonal Matrices
all-method | Sparse "pattern" Matrices
all-methods | "Matrix" Methods for Functions all() and any()
all.equal-method | Matrix Package Methods for Function all.equal()
all.equal-methods | Matrix Package Methods for Function all.equal()
any-method | "Matrix" Methods for Functions all() and any()
any-method | Class "diagonalMatrix" of Diagonal Matrices
any-method | Sparse "pattern" Matrices
anyDuplicatedT | Unique (Sorted) TsparseMatrix Representations
anyNA-method | is.na(), is.infinite() Methods for 'Matrix' Objects
Arith-method | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
Arith-method | Virtual Class "Matrix" Class of Matrices
Arith-method | Class "abIndex" of Abstract Index Vectors
Arith-method | (Virtual) Class "dMatrix" of "double" Matrices
Arith-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
Arith-method | Compressed, sparse, column-oriented numeric matrices
Arith-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
Arith-method | Class "diagonalMatrix" of Diagonal Matrices
Arith-method | Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
Arith-method | Numeric Symmetric Sparse (column compressed) Matrices
Arith-method | Virtual Class "dsparseMatrix" of Numeric Sparse Matrices
Arith-method | Triangular, (compressed) sparse column matrices
Arith-method | Class "lgeMatrix" of General Dense Logical Matrices
Arith-method | Sparse logical matrices
Arith-method | Class "nMatrix" of Non-zero Pattern Matrices
Arith-method | Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
Arith-method | Sparse "pattern" Matrices
Arith-method | Sparse Vector Classes
as.array-method | Virtual Class "Matrix" Class of Matrices
as.integer-method | Class "abIndex" of Abstract Index Vectors
as.logical-method | Virtual Class "Matrix" Class of Matrices
as.logical-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
as.logical-method | Virtual Class "ndenseMatrix" of Dense Logical Matrices
as.logical-method | Sparse Vector Classes
as.matrix-method | Virtual Class "Matrix" Class of Matrices
as.numeric-method | Virtual Class "Matrix" Class of Matrices
as.numeric-method | Class "abIndex" of Abstract Index Vectors
as.numeric-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
as.numeric-method | Sparse Vector Classes
as.vector-method | Virtual Class "Matrix" Class of Matrices
as.vector-method | Class "abIndex" of Abstract Index Vectors
as.vector-method | Compressed, sparse, column-oriented numeric matrices
as.vector-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
as.vector-method | Class "diagonalMatrix" of Diagonal Matrices
as.vector-method | Numeric Symmetric Sparse (column compressed) Matrices
as.vector-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
as.vector-method | Class "lgeMatrix" of General Dense Logical Matrices
as.vector-method | Virtual Class "ndenseMatrix" of Dense Logical Matrices
as.vector-method | Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
as.vector-method | Sparse Vector Classes
atomicVector-class | Virtual Class "atomicVector" of Atomic Vectors

## -- B --

band | Extract bands of a matrix
band-method | Extract bands of a matrix
band-methods | Extract bands of a matrix
bandSparse | Construct Sparse Banded Matrix from (Sup-/Super-) Diagonals
bdiag | Construct a Block Diagonal Matrix
BunchKaufman | Bunch-Kaufman Decomposition Methods
BunchKaufman-class | Cholesky and Bunch-Kaufman Decompositions
BunchKaufman-method | Bunch-Kaufman Decomposition Methods
BunchKaufman-methods | Bunch-Kaufman Decomposition Methods

## -- C --

c.abIndex | Sequence Generation of "abIndex", Abstract Index Vectors
c.sparseVector | Sparse Vector Classes
CAex | Albers' example Matrix with "Difficult" Eigen Factorization
cBind | Versions of 'cbind' and 'rbind' recursively built on cbind2/rbind2
cbind2-method | Virtual Class "Matrix" Class of Matrices
cbind2-method | Virtual Class "denseMatrix" of All Dense Matrices
cbind2-method | Class "diagonalMatrix" of Diagonal Matrices
cbind2-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
CHMfactor-class | CHOLMOD-based Cholesky Factorizations
CHMsimpl-class | CHOLMOD-based Cholesky Factorizations
CHMsuper-class | CHOLMOD-based Cholesky Factorizations
chol | Choleski Decomposition - 'Matrix' S4 Generic and Methods
chol-method | Choleski Decomposition - 'Matrix' S4 Generic and Methods
chol-methods | Choleski Decomposition - 'Matrix' S4 Generic and Methods
chol2inv-method | Inverse from Choleski or QR Decomposition - Matrix Methods
chol2inv-method | Class "diagonalMatrix" of Diagonal Matrices
chol2inv-methods | Inverse from Choleski or QR Decomposition - Matrix Methods
Cholesky | Cholesky Decomposition of a Sparse Matrix
Cholesky-class | Cholesky and Bunch-Kaufman Decompositions
Cholesky-method | Cholesky Decomposition of a Sparse Matrix
CholeskyFactorization-class | Class "MatrixFactorization" of Matrix Factorizations
coerce-method | CHOLMOD-based Cholesky Factorizations
coerce-method | Cholesky and Bunch-Kaufman Decompositions
coerce-method | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
coerce-method | Virtual Class "Matrix" Class of Matrices
coerce-method | Class "RsparseMatrix" of Sparse Matrices in Column-compressed Form
coerce-method | Sparse Matrix Coercion from and to those from package 'SparseM'
coerce-method | Class "TsparseMatrix" of Sparse Matrices in Triplet Form
coerce-method | Class "abIndex" of Abstract Index Vectors
coerce-method | (Virtual) Class "dMatrix" of "double" Matrices
coerce-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
coerce-method | Virtual Class "denseMatrix" of All Dense Matrices
coerce-method | Compressed, sparse, column-oriented numeric matrices
coerce-method | Sparse matrices in triplet form
coerce-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
coerce-method | Class "diagonalMatrix" of Diagonal Matrices
coerce-method | Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
coerce-method | Numeric Symmetric Sparse (column compressed) Matrices
coerce-method | Symmetric Dense (Packed | Non-packed) Numeric Matrices
coerce-method | Triangular, (compressed) sparse column matrices
coerce-method | Packed Triangular Dense Matrices - "dtpMatrix"
coerce-method | Triangular, dense, numeric matrices
coerce-method | Conversions "graph" <-> (sparse) Matrix
coerce-method | Index Matrices
coerce-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
coerce-method | Class "ldiMatrix" of Diagonal Logical Matrices
coerce-method | Class "lgeMatrix" of General Dense Logical Matrices
coerce-method | Sparse logical matrices
coerce-method | Symmetric Dense Logical Matrices
coerce-method | Triangular Dense Logical Matrices
coerce-method | Class "nMatrix" of Non-zero Pattern Matrices
coerce-method | Virtual Class "ndenseMatrix" of Dense Logical Matrices
coerce-method | Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
coerce-method | Sparse "pattern" Matrices
coerce-method | Symmetric Dense Nonzero-Pattern Matrices
coerce-method | Triangular Dense Logical Matrices
coerce-method | Permutation matrices
coerce-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
coerce-method | Sparse Vector Classes
coerce-method | Virtual Class of Symmetric Matrices in Package Matrix
coerce-method | Virtual Class of Triangular Matrices in Package Matrix
colMeans | Form Row and Column Sums and Means
colMeans-method | Form Row and Column Sums and Means
colMeans-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
colMeans-method | Index Matrices
colSums | Form Row and Column Sums and Means
colSums-method | Form Row and Column Sums and Means
colSums-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
colSums-method | Index Matrices
Compare-method | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
Compare-method | (Virtual) Class "dMatrix" of "double" Matrices
Compare-method | Class "diagonalMatrix" of Diagonal Matrices
Compare-method | Class "lgeMatrix" of General Dense Logical Matrices
Compare-method | Sparse logical matrices
Compare-method | Class "nMatrix" of Non-zero Pattern Matrices
Compare-method | Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
compMatrix-class | Class "compMatrix" of Composite (Factorizable) Matrices
condest | Compute Approximate CONDition number and 1-Norm of (Large) Matrices
corMatrix-class | Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
cov2cor-method | Virtual Class "Matrix" Class of Matrices
cov2cor-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
crossprod | Matrix (Cross) Products (of Transpose)
crossprod-method | Matrix (Cross) Products (of Transpose)
crossprod-methods | Matrix (Cross) Products (of Transpose)
CsparseMatrix-class | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form

## -- D --

dCHMsimpl-class | CHOLMOD-based Cholesky Factorizations
dCHMsuper-class | CHOLMOD-based Cholesky Factorizations
ddenseMatrix-class | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
ddiMatrix-class | Class "ddiMatrix" of Diagonal Numeric Matrices
denseLU-class | LU (dense) Matrix Decompositions
denseMatrix-class | Virtual Class "denseMatrix" of All Dense Matrices
det | Virtual Class "Matrix" Class of Matrices
determinant-method | CHOLMOD-based Cholesky Factorizations
determinant-method | Virtual Class "Matrix" Class of Matrices
determinant-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
determinant-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
determinant-method | Class "diagonalMatrix" of Diagonal Matrices
determinant-method | Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
determinant-method | Numeric Symmetric Sparse (column compressed) Matrices
determinant-method | Packed Triangular Dense Matrices - "dtpMatrix"
determinant-method | Triangular, dense, numeric matrices
determinant-method | Index Matrices
determinant-method | Permutation matrices
determinant-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
dgCMatrix-class | Compressed, sparse, column-oriented numeric matrices
dgeMatrix-class | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
dgRMatrix-class | Sparse Compressed, Row-oriented Numeric Matrices
dgTMatrix-class | Sparse matrices in triplet form
diag-method | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
diag-method | Virtual Class "Matrix" Class of Matrices
diag-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
diag-method | Compressed, sparse, column-oriented numeric matrices
diag-method | Sparse Compressed, Row-oriented Numeric Matrices
diag-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
diag-method | Class "diagonalMatrix" of Diagonal Matrices
diag-method | Symmetric Dense (Packed | Non-packed) Numeric Matrices
diag-method | Packed Triangular Dense Matrices - "dtpMatrix"
diag-method | Triangular, dense, numeric matrices
diag-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
diag-method | Class "lgeMatrix" of General Dense Logical Matrices
diag-method | Symmetric Dense Logical Matrices
diag-method | Triangular Dense Logical Matrices
diag-method | Virtual Class "ndenseMatrix" of Dense Logical Matrices
diag-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
diag<--method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
diag<--method | Symmetric Dense (Packed | Non-packed) Numeric Matrices
diag<--method | Packed Triangular Dense Matrices - "dtpMatrix"
diag<--method | Triangular, dense, numeric matrices
diag<--method | Class "lgeMatrix" of General Dense Logical Matrices
diag<--method | Symmetric Dense Logical Matrices
diag<--method | Triangular Dense Logical Matrices
diag<--method | Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
diag<--method | Symmetric Dense Nonzero-Pattern Matrices
diag<--method | Triangular Dense Logical Matrices
diagN2U | Transform Triangular Matrices from Unit Triangular to General Triangular and Back
Diagonal | Create Diagonal Matrix Object
diagonalMatrix-class | Class "diagonalMatrix" of Diagonal Matrices
diagU2N | Transform Triangular Matrices from Unit Triangular to General Triangular and Back
diff-method | Virtual Class "Matrix" Class of Matrices
dim-method | Virtual Class "Matrix" Class of Matrices
dim-method | Class "MatrixFactorization" of Matrix Factorizations
dim-method | Compressed, sparse, column-oriented numeric matrices
dim-method | Sparse Compressed, Row-oriented Numeric Matrices
dim-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
dim<--method | Virtual Class "Matrix" Class of Matrices
dim<--method | Virtual Class "denseMatrix" of All Dense Matrices
dim<--method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
dim<--method | Sparse Vector Classes
dimnames-method | Virtual Class "Matrix" Class of Matrices
dimnames-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
dimnames-method | Virtual Class of Symmetric Matrices in Package Matrix
dimnames<--method | Virtual Class "Matrix" Class of Matrices
dimnames<--method | Class "compMatrix" of Composite (Factorizable) Matrices
dMatrix-class | (Virtual) Class "dMatrix" of "double" Matrices
dpoMatrix-class | Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
dppMatrix-class | Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
drop-method | Virtual Class "Matrix" Class of Matrices
drop-method | Class "abIndex" of Abstract Index Vectors
drop0 | Drop "Explicit Zeroes" from a Sparse Matrix
dsCMatrix-class | Numeric Symmetric Sparse (column compressed) Matrices
dsparseMatrix-class | Virtual Class "dsparseMatrix" of Numeric Sparse Matrices
dsparseVector-class | Sparse Vector Classes
dspMatrix-class | Symmetric Dense (Packed | Non-packed) Numeric Matrices
dsRMatrix-class | Symmetric Sparse Compressed Row Matrices
dsTMatrix-class | Numeric Symmetric Sparse (column compressed) Matrices
dsyMatrix-class | Symmetric Dense (Packed | Non-packed) Numeric Matrices
dtCMatrix-class | Triangular, (compressed) sparse column matrices
dtpMatrix-class | Packed Triangular Dense Matrices - "dtpMatrix"
dtRMatrix-class | Triangular Sparse Compressed Row Matrices
dtrMatrix-class | Triangular, dense, numeric matrices
dtTMatrix-class | Triangular, (compressed) sparse column matrices

## -- E --

eigen-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
expand | Expand a Decomposition into Factors
expand-method | CHOLMOD-based Cholesky Factorizations
expand-method | LU (dense) Matrix Decompositions
expand-method | Class "MatrixFactorization" of Matrix Factorizations
expand-method | Sparse LU decomposition of a square sparse matrix
expm | Matrix Exponential
expm-method | Matrix Exponential

## -- F --

fac2Sparse | Construct Sparse Design / Model Matrices
fac2sparse | Construct Sparse Design / Model Matrices
facmul | Multiplication by Decomposition Factors
facmul.default | Multiplication by Decomposition Factors
forceSymmetric | Force a Matrix to 'symmetricMatrix' Without Symmetry Checks
forceSymmetric-method | Force a Matrix to 'symmetricMatrix' Without Symmetry Checks
format-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
formatSparseM | Formatting Sparse Numeric Matrices Utilities
formatSpMatrix | Format and Print Sparse Matrices Flexibly

## -- G --

gamma-method | (Virtual) Class "dMatrix" of "double" Matrices
gamma-method | Compressed, sparse, column-oriented numeric matrices
generalMatrix-class | Class "generalMatrix" of General Matrices
graph2T | Conversions "graph" <-> (sparse) Matrix

## -- H --

head-method | Virtual Class "Matrix" Class of Matrices
head-method | Sparse Vector Classes
Hilbert | Generate a Hilbert matrix

## -- I --

image-method | Methods for image() in Package 'Matrix'
image-methods | Methods for image() in Package 'Matrix'
iMatrix-class | Virtual Classes Not Yet Really Implemented and Used
index-class | Virtual Class "index" - Simple Class for Matrix Indices
indMatrix-class | Index Matrices
invPerm | Inverse Permutation Vector
is.finite-method | Class "abIndex" of Abstract Index Vectors
is.finite-method | is.na(), is.infinite() Methods for 'Matrix' Objects
is.finite-method | Sparse Vector Classes
is.infinite-method | Class "abIndex" of Abstract Index Vectors
is.infinite-method | is.na(), is.infinite() Methods for 'Matrix' Objects
is.infinite-method | Sparse Vector Classes
is.na-method | Class "abIndex" of Abstract Index Vectors
is.na-method | is.na(), is.infinite() Methods for 'Matrix' Objects
is.na-method | Sparse "pattern" Matrices
is.na-method | Sparse Vector Classes
is.na-methods | is.na(), is.infinite() Methods for 'Matrix' Objects
is.null.DN | Are the Dimnames 'dn' NULL-like ?
isDiagonal | isTriangular() and isDiagonal() Methods
isDiagonal-method | isTriangular() and isDiagonal() Methods
isDiagonal-methods | isTriangular() and isDiagonal() Methods
isLDL | CHOLMOD-based Cholesky Factorizations
isparseVector-class | Sparse Vector Classes
isSymmetric-method | Compressed, sparse, column-oriented numeric matrices
isSymmetric-method | Index Matrices
isSymmetric-method | Methods for Function isSymmetric in Package 'Matrix'
isSymmetric-methods | Methods for Function isSymmetric in Package 'Matrix'
isTriangular | isTriangular() and isDiagonal() Methods
isTriangular-method | isTriangular() and isDiagonal() Methods
isTriangular-methods | isTriangular() and isDiagonal() Methods

## -- K --

KhatriRao | Khatri-Rao Matrix Product
KNex | Koenker-Ng Example Sparse Model Matrix and Response Vector
kronecker-method | Methods for Function 'kronecker()' in Package 'Matrix'
kronecker-methods | Methods for Function 'kronecker()' in Package 'Matrix'

## -- L --

ldenseMatrix-class | Virtual Class "ldenseMatrix" of Dense Logical Matrices
ldiMatrix-class | Class "ldiMatrix" of Diagonal Logical Matrices
length-method | Virtual Class "Matrix" Class of Matrices
length-method | Class "abIndex" of Abstract Index Vectors
length-method | Sparse Vector Classes
lgamma-method | (Virtual) Class "dMatrix" of "double" Matrices
lgamma-method | Compressed, sparse, column-oriented numeric matrices
lgCMatrix-class | Sparse logical matrices
lgeMatrix-class | Class "lgeMatrix" of General Dense Logical Matrices
lgRMatrix-class | Sparse logical matrices
lgTMatrix-class | Sparse logical matrices
lMatrix-class | (Virtual) Class "dMatrix" of "double" Matrices
log-method | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
log-method | (Virtual) Class "dMatrix" of "double" Matrices
log-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
log-method | Virtual Class "denseMatrix" of All Dense Matrices
log-method | Compressed, sparse, column-oriented numeric matrices
log-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
log-method | Class "diagonalMatrix" of Diagonal Matrices
log-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
log-method | Sparse Vector Classes
Logic-method | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
Logic-method | Virtual Class "Matrix" Class of Matrices
Logic-method | (Virtual) Class "dMatrix" of "double" Matrices
Logic-method | Class "diagonalMatrix" of Diagonal Matrices
Logic-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
Logic-method | Class "lgeMatrix" of General Dense Logical Matrices
Logic-method | Sparse logical matrices
Logic-method | Class "nMatrix" of Non-zero Pattern Matrices
Logic-method | Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
Logic-method | Sparse Vector Classes
lsCMatrix-class | Sparse logical matrices
lsparseMatrix-class | Sparse logical matrices
lsparseVector-class | Sparse Vector Classes
lspMatrix-class | Symmetric Dense Logical Matrices
lsRMatrix-class | Sparse logical matrices
lsTMatrix-class | Sparse logical matrices
lsyMatrix-class | Symmetric Dense Logical Matrices
ltCMatrix-class | Sparse logical matrices
ltpMatrix-class | Triangular Dense Logical Matrices
ltRMatrix-class | Sparse logical matrices
ltrMatrix-class | Triangular Dense Logical Matrices
ltTMatrix-class | Sparse logical matrices
lu | (Generalized) Triangular Decomposition of a Matrix
LU-class | LU (dense) Matrix Decompositions
lu-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
lu-method | Virtual Class "dsparseMatrix" of Numeric Sparse Matrices
lu-method | (Generalized) Triangular Decomposition of a Matrix
lu-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices

## -- M --

Math-method | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
Math-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
Math-method | Virtual Class "denseMatrix" of All Dense Matrices
Math-method | Compressed, sparse, column-oriented numeric matrices
Math-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
Math-method | Class "diagonalMatrix" of Diagonal Matrices
Math-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
Math-method | Sparse Vector Classes
Math2-method | Virtual Class "Matrix" Class of Matrices
Math2-method | (Virtual) Class "dMatrix" of "double" Matrices
Math2-method | Sparse Vector Classes
Matrix | Construct a Classed Matrix
Matrix-class | Virtual Class "Matrix" Class of Matrices
MatrixClass | The Matrix (Super-) Class of a Class
MatrixFactorization-class | Class "MatrixFactorization" of Matrix Factorizations
mean-method | Virtual Class "Matrix" Class of Matrices
mean-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
mean-method | Sparse Vector Classes

## -- N --

nCHMsimpl-class | CHOLMOD-based Cholesky Factorizations
nCHMsuper-class | CHOLMOD-based Cholesky Factorizations
ndenseMatrix-class | Virtual Class "ndenseMatrix" of Dense Logical Matrices
nearPD | Nearest Positive Definite Matrix
ngCMatrix-class | Sparse "pattern" Matrices
ngeMatrix-class | Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
ngRMatrix-class | Sparse "pattern" Matrices
ngTMatrix-class | Sparse "pattern" Matrices
nMatrix-class | Class "nMatrix" of Non-zero Pattern Matrices
nnzero | The Number of Non-Zero Values of a Matrix
nnzero-method | The Number of Non-Zero Values of a Matrix
norm | Matrix Norms
norm-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
norm-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
norm-method | Class "diagonalMatrix" of Diagonal Matrices
norm-method | Symmetric Dense (Packed | Non-packed) Numeric Matrices
norm-method | Packed Triangular Dense Matrices - "dtpMatrix"
norm-method | Triangular, dense, numeric matrices
norm-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
norm-method | Virtual Class "ndenseMatrix" of Dense Logical Matrices
norm-method | Matrix Norms
norm-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
nsCMatrix-class | Sparse "pattern" Matrices
nsparseMatrix-class | Sparse "pattern" Matrices
nsparseVector-class | Sparse Vector Classes
nspMatrix-class | Symmetric Dense Nonzero-Pattern Matrices
nsRMatrix-class | Sparse "pattern" Matrices
nsTMatrix-class | Sparse "pattern" Matrices
nsyMatrix-class | Symmetric Dense Nonzero-Pattern Matrices
ntCMatrix-class | Sparse "pattern" Matrices
ntpMatrix-class | Triangular Dense Logical Matrices
ntRMatrix-class | Sparse "pattern" Matrices
ntrMatrix-class | Triangular Dense Logical Matrices
ntTMatrix-class | Sparse "pattern" Matrices
number-class | Class "number" of Possibly Complex Numbers

## -- O --

onenormest | Compute Approximate CONDition number and 1-Norm of (Large) Matrices
Ops-method | Virtual Class "Matrix" Class of Matrices
Ops-method | Class "abIndex" of Abstract Index Vectors
Ops-method | (Virtual) Class "dMatrix" of "double" Matrices
Ops-method | Class "diagonalMatrix" of Diagonal Matrices
Ops-method | Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
Ops-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
Ops-method | Sparse logical matrices
Ops-method | Class "nMatrix" of Non-zero Pattern Matrices
Ops-method | Virtual Class "ndenseMatrix" of Dense Logical Matrices
Ops-method | Sparse "pattern" Matrices
Ops-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
Ops-method | Sparse Vector Classes

## -- P --

pack | Representation of Packed and Unpacked (Dense) Matrices
pack-method | Representation of Packed and Unpacked (Dense) Matrices
pBunchKaufman-class | Cholesky and Bunch-Kaufman Decompositions
pCholesky-class | Cholesky and Bunch-Kaufman Decompositions
pMatrix-class | Permutation matrices
print-method | Class "diagonalMatrix" of Diagonal Matrices
print-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
print.Matrix | Virtual Class "Matrix" Class of Matrices
print.sparseMatrix | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
printSpMatrix | Format and Print Sparse Matrices Flexibly
printSpMatrix2 | Format and Print Sparse Matrices Flexibly
prod-method | Class "diagonalMatrix" of Diagonal Matrices

## -- Q --

qr | QR Decomposition - S4 Methods and Generic
qr-method | QR Decomposition - S4 Methods and Generic
qr-methods | QR Decomposition - S4 Methods and Generic
qr.coef-method | Sparse QR decomposition of a sparse matrix
qr.fitted-method | Sparse QR decomposition of a sparse matrix
qr.Q | Sparse QR decomposition of a sparse matrix
qr.Q-method | Sparse QR decomposition of a sparse matrix
qr.qty-method | Sparse QR decomposition of a sparse matrix
qr.qy-method | Sparse QR decomposition of a sparse matrix
qr.R-method | Sparse QR decomposition of a sparse matrix
qr.resid-method | Sparse QR decomposition of a sparse matrix
qrR | QR Decomposition - S4 Methods and Generic

## -- R --

rankMatrix | Rank of a Matrix
rBind | Versions of 'cbind' and 'rbind' recursively built on cbind2/rbind2
rbind2-method | Virtual Class "Matrix" Class of Matrices
rbind2-method | Virtual Class "denseMatrix" of All Dense Matrices
rbind2-method | Class "diagonalMatrix" of Diagonal Matrices
rbind2-method | Index Matrices
rbind2-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
rcond | Estimate the Reciprocal Condition Number
rcond-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
rcond-method | Virtual Class "denseMatrix" of All Dense Matrices
rcond-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
rcond-method | Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
rcond-method | Symmetric Dense (Packed | Non-packed) Numeric Matrices
rcond-method | Packed Triangular Dense Matrices - "dtpMatrix"
rcond-method | Triangular, dense, numeric matrices
rcond-method | Estimate the Reciprocal Condition Number
readHB | Read and write external matrix formats
readMM | Read and write external matrix formats
rep-method | Virtual Class "Matrix" Class of Matrices
rep-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
rep-method | Sparse Vector Classes
rep2abI | Replicate Vectors into 'abIndex' Result
replValue-class | Virtual Class "replValue" - Simple Class for subassignment Values
rleDiff-class | Class "rleDiff" of rle(diff(.)) Stored Vectors
round-method | Compressed, sparse, column-oriented numeric matrices
rowMeans | Form Row and Column Sums and Means
rowMeans-method | Form Row and Column Sums and Means
rowMeans-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
rowMeans-method | Index Matrices
rowSums | Form Row and Column Sums and Means
rowSums-method | Form Row and Column Sums and Means
rowSums-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
rowSums-method | Index Matrices
rsparsematrix | Random Sparse Matrix
RsparseMatrix-class | Class "RsparseMatrix" of Sparse Matrices in Column-compressed Form

## -- S --

Schur | Schur Decomposition of a Matrix
Schur-class | Class "Schur" of Schur Matrix Factorizations
Schur-method | Schur Decomposition of a Matrix
seqMat-class | Class "abIndex" of Abstract Index Vectors
show-method | Cholesky and Bunch-Kaufman Decompositions
show-method | Virtual Class "Matrix" Class of Matrices
show-method | Class "MatrixFactorization" of Matrix Factorizations
show-method | Class "abIndex" of Abstract Index Vectors
show-method | (Virtual) Class "dMatrix" of "double" Matrices
show-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
show-method | Virtual Class "denseMatrix" of All Dense Matrices
show-method | Class "diagonalMatrix" of Diagonal Matrices
show-method | Symmetric Dense (Packed | Non-packed) Numeric Matrices
show-method | Triangular, dense, numeric matrices
show-method | Class "nMatrix" of Non-zero Pattern Matrices
show-method | Class "rleDiff" of rle(diff(.)) Stored Vectors
show-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
show-method | Sparse Vector Classes
signif-method | Compressed, sparse, column-oriented numeric matrices
skewpart | Symmetric Part and Skew(symmetric) Part of a Matrix
skewpart-method | Symmetric Part and Skew(symmetric) Part of a Matrix
skewpart-methods | Symmetric Part and Skew(symmetric) Part of a Matrix
solve | Methods in Package Matrix for Function 'solve()'
solve-method | Methods in Package Matrix for Function 'solve()'
solve-methods | Methods in Package Matrix for Function 'solve()'
sparse.model.matrix | Construct Sparse Design / Model Matrices
sparseLU-class | Sparse LU decomposition of a square sparse matrix
SparseM-coerce-methods | Sparse Matrix Coercion from and to those from package 'SparseM'
sparseMatrix | General Sparse Matrix Construction from Nonzero Entries
sparseMatrix-class | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
sparseQR-class | Sparse QR decomposition of a sparse matrix
sparseVector | Sparse Vector Construction from Nonzero Entries
sparseVector-class | Sparse Vector Classes
spMatrix | Sparse Matrix Constructor From Triplet
Subassign-methods | Methods for "[<-" - Assigning to Subsets for 'Matrix'
sum-method | Class "diagonalMatrix" of Diagonal Matrices
Summary-method | Virtual Class "Matrix" Class of Matrices
Summary-method | Class "abIndex" of Abstract Index Vectors
Summary-method | (Virtual) Class "dMatrix" of "double" Matrices
Summary-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
Summary-method | Class "diagonalMatrix" of Diagonal Matrices
Summary-method | Virtual Class "dsparseMatrix" of Numeric Sparse Matrices
Summary-method | Index Matrices
Summary-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
Summary-method | Class "nMatrix" of Non-zero Pattern Matrices
Summary-method | Virtual Class "ndenseMatrix" of Dense Logical Matrices
Summary-method | Permutation matrices
Summary-method | Sparse Vector Classes
summary-method | Class "diagonalMatrix" of Diagonal Matrices
summary-method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
svd-method | Virtual Class "Matrix" Class of Matrices
symmetricMatrix-class | Virtual Class of Symmetric Matrices in Package Matrix
symmpart | Symmetric Part and Skew(symmetric) Part of a Matrix
symmpart-method | Symmetric Part and Skew(symmetric) Part of a Matrix
symmpart-methods | Symmetric Part and Skew(symmetric) Part of a Matrix

## -- T --

t-method | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
t-method | Virtual Class "Matrix" Class of Matrices
t-method | Class "RsparseMatrix" of Sparse Matrices in Column-compressed Form
t-method | Class "TsparseMatrix" of Sparse Matrices in Triplet Form
t-method | Virtual Class "ddenseMatrix" of Numeric Dense Matrices
t-method | Compressed, sparse, column-oriented numeric matrices
t-method | Sparse Compressed, Row-oriented Numeric Matrices
t-method | Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
t-method | Class "diagonalMatrix" of Diagonal Matrices
t-method | Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
t-method | Numeric Symmetric Sparse (column compressed) Matrices
t-method | Symmetric Dense (Packed | Non-packed) Numeric Matrices
t-method | Triangular, (compressed) sparse column matrices
t-method | Packed Triangular Dense Matrices - "dtpMatrix"
t-method | Triangular, dense, numeric matrices
t-method | Index Matrices
t-method | Class "lgeMatrix" of General Dense Logical Matrices
t-method | Sparse logical matrices
t-method | Symmetric Dense Logical Matrices
t-method | Triangular Dense Logical Matrices
t-method | Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
t-method | Sparse "pattern" Matrices
t-method | Symmetric Dense Nonzero-Pattern Matrices
t-method | Triangular Dense Logical Matrices
t-method | Permutation matrices
t-method | Sparse Vector Classes
T2graph | Conversions "graph" <-> (sparse) Matrix
tail-method | Virtual Class "Matrix" Class of Matrices
tail-method | Sparse Vector Classes
tcrossprod | Matrix (Cross) Products (of Transpose)
tcrossprod-method | Matrix (Cross) Products (of Transpose)
tcrossprod-methods | Matrix (Cross) Products (of Transpose)
toeplitz-method | Sparse Vector Classes
triangularMatrix-class | Virtual Class of Triangular Matrices in Package Matrix
tril | Extract bands of a matrix
tril-method | Extract bands of a matrix
tril-methods | Extract bands of a matrix
triu | Extract bands of a matrix
triu-method | Extract bands of a matrix
triu-methods | Extract bands of a matrix
TsparseMatrix-class | Class "TsparseMatrix" of Sparse Matrices in Triplet Form

## -- U --

uniqTsparse | Unique (Sorted) TsparseMatrix Representations
unname-method | Virtual Class "Matrix" Class of Matrices
unpack | Representation of Packed and Unpacked (Dense) Matrices
unpack-method | Representation of Packed and Unpacked (Dense) Matrices
update-method | CHOLMOD-based Cholesky Factorizations
updown | Up- and Down-Dating a Cholesky Decomposition
updown-method | Up- and Down-Dating a Cholesky Decomposition
updown-methods | Up- and Down-Dating a Cholesky Decomposition
USCounties | USCounties Contiguity Matrix

## -- W --

which-method | (Virtual) Class "dMatrix" of "double" Matrices
which-method | Class "diagonalMatrix" of Diagonal Matrices
which-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
which-method | Sparse logical matrices
which-method | Virtual Class "ndenseMatrix" of Dense Logical Matrices
which-method | Sparse "pattern" Matrices
which-method | Sparse Vector Classes
writeMM | Read and write external matrix formats
writeMM-method | Read and write external matrix formats

## -- X --

xsparseVector-class | Sparse Vector Classes

## -- Z --

zapsmall-method | (Virtual) Class "dMatrix" of "double" Matrices
zMatrix-class | Virtual Classes Not Yet Really Implemented and Used
zsparseVector-class | Sparse Vector Classes

## -- misc --

!-method | Virtual Class "Matrix" Class of Matrices
!-method | Virtual Class "ldenseMatrix" of Dense Logical Matrices
!-method | Class "ldiMatrix" of Diagonal Logical Matrices
!-method | Class "lgeMatrix" of General Dense Logical Matrices
!-method | Sparse logical matrices
!-method | Triangular Dense Logical Matrices
!-method | Virtual Class "ndenseMatrix" of Dense Logical Matrices
!-method | Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
!-method | Sparse "pattern" Matrices
!-method | Triangular Dense Logical Matrices
!-method | Sparse Vector Classes
%%-method | Class "diagonalMatrix" of Diagonal Matrices
%&% | Boolean Arithmetic Matrix Products: '%&%' and Methods
%&%-method | Boolean Arithmetic Matrix Products: '%&%' and Methods
%&%-methods | Boolean Arithmetic Matrix Products: '%&%' and Methods
%*% | Matrix (Cross) Products (of Transpose)
%*%-method | Matrix (Cross) Products (of Transpose)
%*%-methods | Matrix (Cross) Products (of Transpose)
%/%-method | Class "diagonalMatrix" of Diagonal Matrices
&-method | Class "diagonalMatrix" of Diagonal Matrices
*-method | Class "diagonalMatrix" of Diagonal Matrices
+-method | Virtual Class "Matrix" Class of Matrices
+-method | Sparse matrices in triplet form
--method | Virtual Class "Matrix" Class of Matrices
--method | Virtual Class "denseMatrix" of All Dense Matrices
--method | Class "diagonalMatrix" of Diagonal Matrices
--method | Index Matrices
--method | Sparse logical matrices
--method | Sparse "pattern" Matrices
--method | Permutation matrices
--method | Virtual Class "sparseMatrix" - Mother of Sparse Matrices
--method | Sparse Vector Classes
.bdiag | Construct a Block Diagonal Matrix
.diagU2N | Transform Triangular Matrices from Unit Triangular to General Triangular and Back
.dsy2mat | Symmetric Dense (Packed | Non-packed) Numeric Matrices
.formatSparseSimple | Formatting Sparse Numeric Matrices Utilities
.sparseDiagonal | Create Diagonal Matrix Object
.SuiteSparse_version | Cholesky Decomposition of a Sparse Matrix
.symDiagonal | Create Diagonal Matrix Object
.trDiagonal | Create Diagonal Matrix Object
.updateCHMfactor | CHOLMOD-based Cholesky Factorizations
.validateCsparse | Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
/-method | Class "diagonalMatrix" of Diagonal Matrices
[-method | Methods for "[": Extraction or Subsetting in Package 'Matrix'
[-method | Class "abIndex" of Abstract Index Vectors
[-method | (Virtual) Class "dMatrix" of "double" Matrices
[-method | Sparse Vector Classes
[-methods | Methods for "[": Extraction or Subsetting in Package 'Matrix'
[<--method | Methods for "[<-" - Assigning to Subsets for 'Matrix'
[<--method | Sparse Vector Classes
[<--methods | Methods for "[<-" - Assigning to Subsets for 'Matrix'
^-method | Class "diagonalMatrix" of Diagonal Matrices