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Matrix (version 1.5-0)

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

74,588

Version

1.5-0

License

GPL (>= 2) | file LICENCE

Homepage

https://Matrix.R-forge.R-project.org/

Maintainer

Martin Maechler

Last Published

September 10th, 2022

Functions in Matrix (1.5-0)

Class "Schur" of Schur Matrix Factorizations

Schur Decomposition of a Matrix

Transform Triangular Matrices from Unit Triangular to General Triangular and Back

diagonalMatrix-class

Class "diagonalMatrix" of Diagonal Matrices

dsyMatrix-class

Symmetric Dense (Packed or Unpacked) Numeric Matrices

CHMfactor-class

CHOLMOD-based Cholesky Factorizations

dtCMatrix-class

Triangular, (compressed) sparse column matrices

BunchKaufman-methods

Bunch-Kaufman Decomposition Methods

Albers' example Matrix with "Difficult" Eigen Factorization

Koenker-Ng Example Sparse Model Matrix and Response Vector

Khatri-Rao Matrix Product

SparseM-conversions

Sparse Matrix Coercion from and to those from package SparseM

Matrix Exponential

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

Cholesky and Bunch-Kaufman Decompositions

LU (dense) Matrix Decompositions

externalFormats

Read and write external matrix formats

Cholesky Decomposition of a Sparse Matrix

lgeMatrix-class

Class "lgeMatrix" of General Dense Logical Matrices

all.equal-methods

Matrix Package Methods for Function all.equal()

CsparseMatrix-class

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

Virtual Class "Matrix" Class of Matrices

MatrixFactorization-class

Class "MatrixFactorization" of Matrix Factorizations

atomicVector-class

Virtual Class "atomicVector" of Atomic Vectors

Sequence Generation of "abIndex", Abstract Index Vectors

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

lsparseMatrix-classes

Sparse logical matrices

matrix-products

Matrix (Cross) Products (of Transpose)

Class "nMatrix" of Non-zero Pattern Matrices

Class "abIndex" of Abstract Index Vectors

"Matrix" Methods for Functions all() and any()

RsparseMatrix-class

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

TsparseMatrix-class

Class "TsparseMatrix" of Sparse Matrices in Triplet Form

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

USCounties Contiguity Matrix

Create Diagonal Matrix Object

ddenseMatrix-class

Virtual Class "ddenseMatrix" of Numeric Dense Matrices

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

Generate a Hilbert matrix

Construct a Block Diagonal Matrix

compMatrix-class

Class "compMatrix" of Composite (Factorizable) Matrices

nsparseMatrix-classes

Sparse "pattern" Matrices

Random Sparse Matrix

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

Construct a Classed Matrix

The Matrix (Super-) Class of a Class

dtrMatrix-class

Triangular, dense, numeric matrices

The Cholesky Decomposition - 'Matrix' S4 Generic and Methods

ddiMatrix-class

Class "ddiMatrix" of Diagonal Numeric Matrices

Methods in Package Matrix for Function solve()

Expand a (Matrix) Decomposition into Factors

Boolean Arithmetic Matrix Products: %&% and Methods

denseMatrix-class

Virtual Class "denseMatrix" of All Dense Matrices

dgTMatrix-class

Sparse matrices in triplet form

graph-sparseMatrix

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

Dulmage-Mendelsohn Permutation / Decomposition

dgeMatrix-class

Class "dgeMatrix" of Dense Numeric (S4 Class) Matrices

Extract bands of a matrix

dtRMatrix-class

Triangular Sparse Compressed Row Matrices

Methods for image() in Package 'Matrix'

symmetricMatrix-class

Virtual Class of Symmetric Matrices in Package Matrix

Drop "Explicit Zeroes" from a Sparse Matrix

dtpMatrix-class

Packed Triangular Dense Matrices - "dtpMatrix"

dsCMatrix-class

Numeric Symmetric Sparse (column compressed) Matrices

ldenseMatrix-class

Virtual Class "ldenseMatrix" of Dense Logical Matrices

Formatting Sparse Numeric Matrices Utilities

Symmetric Part and Skew(symmetric) Part of a Matrix

Multiplication by Decomposition Factors

ldiMatrix-class

Class "ldiMatrix" of Diagonal Logical Matrices

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

chol2inv-methods

Inverse from Choleski or QR Decomposition -- Matrix Methods

Form Row and Column Sums and Means

generalMatrix-class

Class "generalMatrix" of General Matrices

lsyMatrix-class

Symmetric Dense Logical Matrices

dpoMatrix-class

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

indMatrix-class

Virtual Class "index" - Simple Class for Matrix Indices

Class "number" of Possibly Complex Numbers

Permutation matrices

Force a Matrix to 'symmetricMatrix' Without Symmetry Checks

dgCMatrix-class

Compressed, sparse, column-oriented numeric matrices

dgRMatrix-class

Sparse Compressed, Row-oriented Numeric Matrices

Inverse Permutation Vector

Test whether a Matrix is Triangular or Diagonal

kronecker-methods

Methods for Function 'kronecker()' in Package 'Matrix'

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

ndenseMatrix-class

Virtual Class "ndenseMatrix" of Dense Logical Matrices

replValue-class

Virtual Class "replValue" - Simple Class for Subassignment Values

dsRMatrix-class

Symmetric Sparse Compressed Row Matrices

(Generalized) Triangular Decomposition of a Matrix

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

ltrMatrix-class

Triangular Dense Logical Matrices

sparseVector-class

Sparse Vector Classes

Map Matrix to its Triplet Representation

nsyMatrix-class

Symmetric Dense Nonzero-Pattern Matrices

Nearest Positive Definite Matrix

ntrMatrix-class

Triangular Dense Logical Matrices

Sparse Vector Construction from Nonzero Entries

packedMatrix-class

Virtual Class "packedMatrix" of Packed Dense Matrices

Format and Print Sparse Matrices Flexibly

Estimate the Reciprocal Condition Number

dsparseMatrix-class

Virtual Class "dsparseMatrix" of Numeric Sparse Matrices

Are the Dimnames dn NULL-like ?

isSymmetric-methods

Methods for Function 'isSymmetric' in Package 'Matrix'

QR Decomposition -- S4 Methods and Generic

Rank of a Matrix

Replicate Vectors into 'abIndex' Result

ngeMatrix-class

Class "ngeMatrix" of General Dense Nonzero-pattern Matrices

Sparse Matrix Constructor From Triplet

sparse.model.matrix

Construct Sparse Design / Model Matrices

triangularMatrix-class

Virtual Class of Triangular Matrices in Package Matrix

Unique (Sorted) TsparseMatrix Representations

The Number of Non-Zero Values of a Matrix

Representation of Packed and Unpacked Dense Matrices

Sparse LU decomposition of a square sparse matrix

sparseMatrix-class

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

General Sparse Matrix Construction from Nonzero Entries

Sparse QR decomposition of a sparse matrix

Virtual Classes Not Yet Really Implemented and Used

unpackedMatrix-class

Virtual Class "unpackedMatrix" of Unpacked Dense Matrices

Up- and Down-Dating a Cholesky Decomposition

World 1-degree grid contiguity matrix