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Matrix (version 1.5-3)

Sparse and Dense Matrix Classes and Methods

Description

A rich hierarchy of matrix classes, including triangular, symmetric, and diagonal matrices, both dense and sparse and with pattern, logical and numeric entries. Numerous methods for and operations on these matrices, using 'LAPACK' and 'SuiteSparse' libraries.

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Install

install.packages('Matrix')

Monthly Downloads

155,110

Version

1.5-3

License

GPL (>= 2) | file LICENCE

Maintainer

Martin Maechler

Last Published

November 11th, 2022

Functions in Matrix (1.5-3)

Matrix

Construct a Classed Matrix
Cholesky-class

Cholesky and Bunch-Kaufman Decompositions
Diagonal

Construct a Diagonal Matrix
MatrixClass

The Matrix (Super-) Class of a Class
Cholesky

Cholesky Decomposition of a Sparse Matrix
CsparseMatrix-class

Class "CsparseMatrix" of Sparse Matrices in Column-compressed Form
Schur-class

Class "Schur" of Schur Matrix Factorizations
TsparseMatrix-class

Class "TsparseMatrix" of Sparse Matrices in Triplet Form
USCounties

USCounties Contiguity Matrix
band

Extract bands of a matrix
bandSparse

Construct Sparse Banded Matrix from (Sup-/Super-) Diagonals
chol2inv-methods

Inverse from Choleski or QR Decomposition -- Matrix Methods
BunchKaufman-methods

Bunch-Kaufman Decomposition Methods
colSums

Form Row and Column Sums and Means
dgCMatrix-class

Compressed, sparse, column-oriented numeric matrices
Hilbert

Generate a Hilbert matrix
dgRMatrix-class

Sparse Compressed, Row-oriented Numeric Matrices
Schur

Schur Decomposition of a Matrix
KNex

Koenker-Ng Example Sparse Model Matrix and Response Vector
SparseM-conversions

Sparse Matrix Coercion from and to those from package SparseM
abIseq

Sequence Generation of "abIndex", Abstract Index Vectors
dsCMatrix-class

Numeric Symmetric Sparse (column compressed) Matrices
dsRMatrix-class

Symmetric Sparse Compressed Row Matrices
compMatrix-class

Class "compMatrix" of Composite (Factorizable) Matrices
generalMatrix-class

Class "generalMatrix" of General Matrices
graph-sparseMatrix

Conversions "graph" <--> (sparse) Matrix
index-class

Virtual Class "index" - Simple Class for Matrix Indices
CAex

Albers' example Matrix with "Difficult" Eigen Factorization
KhatriRao

Khatri-Rao Matrix Product
condest

Compute Approximate CONDition number and 1-Norm of (Large) Matrices
[<--methods

Methods for "[<-" - Assigning to Subsets for 'Matrix'
invPerm

Inverse Permutation Vector
all.equal-methods

Matrix Package Methods for Function all.equal()
nearPD

Nearest Positive Definite Matrix
dimScale

Scale the Rows and Columns of a Matrix
MatrixFactorization-class

Class "MatrixFactorization" of Matrix Factorizations
atomicVector-class

Virtual Class "atomicVector" of Atomic Vectors
RsparseMatrix-class

Class "RsparseMatrix" of Sparse Matrices in Row-compressed Form
dmperm

Dulmage-Mendelsohn Permutation / Decomposition
dtpMatrix-class

Packed Triangular Dense Matrices - "dtpMatrix"
dMatrix-class

(Virtual) Class "dMatrix" of "double" Matrices
ddenseMatrix-class

Virtual Class "ddenseMatrix" of Numeric Dense Matrices
dtrMatrix-class

Triangular, dense, numeric matrices
dgTMatrix-class

Sparse matrices in triplet form
forceSymmetric

Force a Matrix to 'symmetricMatrix' Without Symmetry Checks
dgeMatrix-class

Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
all-methods

"Matrix" Methods for Functions all() and any()
dpoMatrix-class

Positive Semi-definite Dense (Packed | Non-packed) Numeric Matrices
diagU2N

Transform Triangular Matrices from Unit Triangular to General Triangular and Back
drop0

Drop "Explicit Zeroes" from a Sparse Matrix
diagonalMatrix-class

Class "diagonalMatrix" of Diagonal Matrices
LU-class

LU (dense) Matrix Decompositions
externalFormats

Read and write external matrix formats
facmul

Multiplication by Decomposition Factors
dtCMatrix-class

Triangular, (compressed) sparse column matrices
formatSparseM

Formatting Sparse Numeric Matrices Utilities
solve-methods

Methods in Package Matrix for Function solve()
ldiMatrix-class

Class "ldiMatrix" of Diagonal Logical Matrices
ngeMatrix-class

Class "ngeMatrix" of General Dense Nonzero-pattern Matrices
lgeMatrix-class

Class "lgeMatrix" of General Dense Logical Matrices
Matrix-class

Virtual Class "Matrix" Class of Matrices
spMatrix

Sparse Matrix Constructor From Triplet
cBind

'cbind()' and 'rbind()' recursively built on cbind2/rbind2
chol

The Cholesky Decomposition - 'Matrix' S4 Generic and Methods
nsparseMatrix-classes

Sparse "pattern" Matrices
[-methods

Methods for "[": Extraction or Subsetting in Package 'Matrix'
nsyMatrix-class

Symmetric Dense Nonzero-Pattern Matrices
dtRMatrix-class

Triangular Sparse Compressed Row Matrices
isSymmetric-methods

Methods for Function 'isSymmetric' in Package 'Matrix'
image-methods

Methods for image() in Package 'Matrix'
abIndex-class

Class "abIndex" of Abstract Index Vectors
sparse.model.matrix

Construct Sparse Design / Model Matrices
indMatrix-class

Index Matrices
sparseLU-class

Sparse LU decomposition of a square sparse matrix
sparseQR-class

Sparse QR decomposition of a sparse matrix
sparseVector-class

Sparse Vector Classes
is.na-methods

is.na(), is.finite() Methods for 'Matrix' Objects
bdiag

Construct a Block Diagonal Matrix
is.null.DN

Are the Dimnames dn NULL-like ?
isTriangular

Test whether a Matrix is Triangular or Diagonal
lsparseMatrix-classes

Sparse logical matrices
nMatrix-class

Class "nMatrix" of Non-zero Pattern Matrices
ltrMatrix-class

Triangular Dense Logical Matrices
lu

(Generalized) Triangular Decomposition of a Matrix
ndenseMatrix-class

Virtual Class "ndenseMatrix" of Dense Logical Matrices
lsyMatrix-class

Symmetric Dense Logical Matrices
printSpMatrix

Format and Print Sparse Matrices Flexibly
nnzero

The Number of Non-Zero Values of a Matrix
qr-methods

QR Decomposition -- S4 Methods and Generic
%&%-methods

Boolean Arithmetic Matrix Products: %&% and Methods
norm

Matrix Norms
updown

Up- and Down-Dating a Cholesky Decomposition
ntrMatrix-class

Triangular Dense Logical Matrices
ddiMatrix-class

Class "ddiMatrix" of Diagonal Numeric Matrices
wrld_1deg

World 1-degree grid contiguity matrix
denseMatrix-class

Virtual Class "denseMatrix" of All Dense Matrices
sparseVector

Sparse Vector Construction from Nonzero Entries
rleDiff-class

Class "rleDiff" of rle(diff(.)) Stored Vectors
rsparsematrix

Random Sparse Matrix
symmetricMatrix-class

Virtual Class of Symmetric Matrices in Package Matrix
uniqTsparse

Unique (Sorted) TsparseMatrix Representations
number-class

Class "number" of Possibly Complex Numbers
dsparseMatrix-class

Virtual Class "dsparseMatrix" of Numeric Sparse Matrices
unpackedMatrix-class

Virtual Class "unpackedMatrix" of Unpacked Dense Matrices
unpack

Representation of Packed and Unpacked Dense Matrices
Unused-classes

Virtual Classes Not Yet Really Implemented and Used
dsyMatrix-class

Symmetric Dense (Packed or Unpacked) Numeric Matrices
expand

Expand a (Matrix) Decomposition into Factors
rep2abI

Replicate Vectors into 'abIndex' Result
expm

Matrix Exponential
kronecker-methods

Methods for Function 'kronecker()' in Package 'Matrix'
ldenseMatrix-class

Virtual Class "ldenseMatrix" of Dense Logical Matrices
replValue-class

Virtual Class "replValue" - Simple Class for Subassignment Values
mat2triplet

Map Matrix to its Triplet Representation
symmpart

Symmetric Part and Skew(symmetric) Part of a Matrix
triangularMatrix-class

Virtual Class of Triangular Matrices in Package Matrix
matrix-products

Matrix (Cross) Products (of Transpose)
pMatrix-class

Permutation matrices
packedMatrix-class

Virtual Class "packedMatrix" of Packed Dense Matrices
rankMatrix

Rank of a Matrix
rcond

Estimate the Reciprocal Condition Number
sparseMatrix-class

Virtual Class "sparseMatrix" --- Mother of Sparse Matrices
sparseMatrix

General Sparse Matrix Construction from Nonzero Entries
CHMfactor-class

CHOLMOD-based Cholesky Factorizations