Class  Description 

ColumnBindMatrix 
A fast "cbind" matrix from vectors.

CongruentMatrix 
Given a matrix A and an invertible matrix P, we create the congruent matrix
B s.t.,
B = P'AP

DiagonalSum 
Add diagonal elements to a matrix, an efficient implementation.

ElementaryOperation 
There are three elementary row operations which are equivalent to left multiplying an elementary
matrix.

FastKroneckerProduct 
This is a fast and memorysaving implementation of computing the Kronecker product.

InnerProduct 
The Frobenius inner product is the componentwise inner product of two matrices as though they are vectors.

Inverse 
For a square matrix A, the inverse, A^{1}, if exists, satisfies
A.multiply(A.inverse()) == A.ONE()
There are multiple ways to compute the inverse of a matrix. 
KroneckerProduct 
Given an mbyn matrix A and a pbyq matrix B,
their Kronecker product C, also called their matrix direct product, is
an (mp)by(nq) matrix with entries defined by
c_{st} = a_{ij} b_{kl}
where

MAT 
MAT is the inverse operator of SVEC . 
MatrixFactory 
These are the utility functions to create a new matrix/vector from existing ones.

MatrixMeasure 
A measure, μ, of a matrix, A, is a map from the Matrix space to the Real line.

MatrixRootByDiagonalization 
The square root of a matrix extends the notion of square root from numbers to matrices.

MatrixUtils 
These are the utility functions to apply to matrices.

OuterProduct 
The outer product of two vectors a and b, is a row vector multiplied on the left by
a column vector.

Pow 
This is a square matrix A to the power of an integer n, A^{n}.

PseudoInverse 
The MoorePenrose pseudoinverse of an m x n matrix A is A^{+}.

SimilarMatrix 
Given a matrix A and an invertible matrix P, we construct the similar matrix
B s.t.,
B = P^{1}AP

SubMatrixRef 
This is a 'reference' to a submatrix of a larger matrix without copying it.

SVEC 
SVEC converts a symmetric matrix K = {K_{ij}} into a vector of dimension n(n+1)/2. 
SymmetricKronecker 
Compute the symmetric Kronecker product of two matrices.

VariancebtX 
Computes \(b'Xb\).

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