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Matrix (version 1.2-18)

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

1.2-18

License

GPL (>= 2) | file LICENCE

Maintainer

Martin Maechler

Last Published

November 27th, 2019

Functions in Matrix (1.2-18)

LU-class

LU (dense) Matrix Decompositions
Matrix

Construct a Classed Matrix
band

Extract bands of a matrix
Matrix-class

Virtual Class "Matrix" Class of Matrices
bandSparse

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

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

Class "MatrixFactorization" of Matrix Factorizations
RsparseMatrix-class

Class "RsparseMatrix" of Sparse Matrices in Column-compressed Form
all-methods

"Matrix" Methods for Functions all() and any()
all.equal-methods

Matrix Package Methods for Function all.equal()
MatrixClass

The Matrix (Super-) Class of a Class
Cholesky

Cholesky Decomposition of a Sparse Matrix
KhatriRao

Khatri-Rao Matrix Product
cBind

Versions of 'cbind' and 'rbind' recursively built on cbind2/rbind2
chol2inv-methods

Inverse from Choleski or QR Decomposition -- Matrix Methods
Schur-class

Class "Schur" of Schur Matrix Factorizations
colSums

Form Row and Column Sums and Means
atomicVector-class

Virtual Class "atomicVector" of Atomic Vectors
chol

Choleski Decomposition - 'Matrix' S4 Generic and Methods
[-methods

Methods for "[": Extraction or Subsetting in Package 'Matrix'
SparseM-conversions

Sparse Matrix Coercion from and to those from package SparseM
bdiag

Construct a Block Diagonal Matrix
[<--methods

Methods for "[<-" - Assigning to Subsets for 'Matrix'
dgeMatrix-class

Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices
CsparseMatrix-class

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

Class "abIndex" of Abstract Index Vectors
dgTMatrix-class

Sparse matrices in triplet form
%&%-methods

Boolean Arithmetic Matrix Products: %&% and Methods
dpoMatrix-class

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

(Virtual) Class "dMatrix" of "double" Matrices
expm

Matrix Exponential
expand

Expand a Decomposition into Factors
invPerm

Inverse Permutation Vector
Schur

Schur Decomposition of a Matrix
index-class

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

USCounties Contiguity Matrix
TsparseMatrix-class

Class "TsparseMatrix" of Sparse Matrices in Triplet Form
compMatrix-class

Class "compMatrix" of Composite (Factorizable) Matrices
condest

Compute Approximate CONDition number and 1-Norm of (Large) Matrices
diagU2N

Transform Triangular Matrices from Unit Triangular to General Triangular and Back
diagonalMatrix-class

Class "diagonalMatrix" of Diagonal Matrices
dgCMatrix-class

Compressed, sparse, column-oriented numeric matrices
drop0

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

Class "ddiMatrix" of Diagonal Numeric Matrices
ddenseMatrix-class

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

Virtual Class "denseMatrix" of All Dense Matrices
lsyMatrix-class

Symmetric Dense Logical Matrices
lsparseMatrix-classes

Sparse logical matrices
nnzero

The Number of Non-Zero Values of a Matrix
ngeMatrix-class

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

Triangular, (compressed) sparse column matrices
dtpMatrix-class

Packed Triangular Dense Matrices - "dtpMatrix"
dgRMatrix-class

Sparse Compressed, Row-oriented Numeric Matrices
dsCMatrix-class

Numeric Symmetric Sparse (column compressed) Matrices
nsyMatrix-class

Symmetric Dense Nonzero-Pattern Matrices
forceSymmetric

Force a Matrix to 'symmetricMatrix' Without Symmetry Checks
is.na-methods

is.na(), is.infinite() Methods for 'Matrix' Objects
is.null.DN

Are the Dimnames dn NULL-like ?
ltrMatrix-class

Triangular Dense Logical Matrices
dtRMatrix-class

Triangular Sparse Compressed Row Matrices
formatSparseM

Formatting Sparse Numeric Matrices Utilities
lu

(Generalized) Triangular Decomposition of a Matrix
ntrMatrix-class

Triangular Dense Logical Matrices
dsparseMatrix-class

Virtual Class "dsparseMatrix" of Numeric Sparse Matrices
Unused-classes

Virtual Classes Not Yet Really Implemented and Used
rsparsematrix

Random Sparse Matrix
rleDiff-class

Class "rleDiff" of rle(diff(.)) Stored Vectors
dsRMatrix-class

Symmetric Sparse Compressed Row Matrices
pMatrix-class

Permutation matrices
number-class

Class "number" of Possibly Complex Numbers
generalMatrix-class

Class "generalMatrix" of General Matrices
ldiMatrix-class

Class "ldiMatrix" of Diagonal Logical Matrices
graph-sparseMatrix

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

Symmetric Dense (Packed | Non-packed) Numeric Matrices
dtrMatrix-class

Triangular, dense, numeric matrices
sparse.model.matrix

Construct Sparse Design / Model Matrices
updown

Up- and Down-Dating a Cholesky Decomposition
facmul

Multiplication by Decomposition Factors
sparseVector

Sparse Vector Construction from Nonzero Entries
isTriangular

isTriangular() and isDiagonal() Methods
sparseLU-class

Sparse LU decomposition of a square sparse matrix
ndenseMatrix-class

Virtual Class "ndenseMatrix" of Dense Logical Matrices
externalFormats

Read and write external matrix formats
symmetricMatrix-class

Virtual Class of Symmetric Matrices in Package Matrix
isSymmetric-methods

Methods for Function isSymmetric in Package 'Matrix'
lgeMatrix-class

Class "lgeMatrix" of General Dense Logical Matrices
image-methods

Methods for image() in Package 'Matrix'
matrix-products

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

Class "nMatrix" of Non-zero Pattern Matrices
rankMatrix

Rank of a Matrix
rcond

Estimate the Reciprocal Condition Number
printSpMatrix

Format and Print Sparse Matrices Flexibly
sparseQR-class

Sparse QR decomposition of a sparse matrix
nearPD

Nearest Positive Definite Matrix
qr-methods

QR Decomposition -- S4 Methods and Generic
indMatrix-class

Index Matrices
sparseMatrix-class

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

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

Virtual Class "ldenseMatrix" of Dense Logical Matrices
sparseMatrix

General Sparse Matrix Construction from Nonzero Entries
nsparseMatrix-classes

Sparse "pattern" Matrices
norm

Matrix Norms
rep2abI

Replicate Vectors into 'abIndex' Result
symmpart

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

Virtual Class of Triangular Matrices in Package Matrix
sparseVector-class

Sparse Vector Classes
uniqTsparse

Unique (Sorted) TsparseMatrix Representations
replValue-class

Virtual Class "replValue" - Simple Class for subassignment Values
unpack

Representation of Packed and Unpacked (Dense) Matrices
spMatrix

Sparse Matrix Constructor From Triplet
solve-methods

Methods in Package Matrix for Function solve()
Diagonal

Create Diagonal Matrix Object
Cholesky-class

Cholesky and Bunch-Kaufman Decompositions
CAex

Albers' example Matrix with "Difficult" Eigen Factorization
BunchKaufman-methods

Bunch-Kaufman Decomposition Methods
Hilbert

Generate a Hilbert matrix
CHMfactor-class

CHOLMOD-based Cholesky Factorizations
KNex

Koenker-Ng Example Sparse Model Matrix and Response Vector