matpak

matpak stands for "MATrix PAcKage." It is a collection of utility functions written in MATLAB for matrix manipulation and analysis. It was initiated during computational research on function approximation. There was a need to generate random stochastic matrices with various properties, including Toeplitz (or Hankel), diagonally dominate, $Z$, and $M$ matrices, etc. A primary property of the matrix kernel was the centrosymmetric property. Most functions are simple and can quickly be built or generated using a few lines of MATLAB code. However, housing these functions used frequently in one location aided in facilitating research.

It contains several is functions to classify matrices (e.g., ism(A) determines if a matrix is an M-matrix).

MATLAB Version Tested

MATLAB Version: 9.8.0.1323502 (R2020a)

Contents in brief

• centrostochastic - generate Centrosymmetric Stochastic Matrix
• counterid - generate counter-diagonal matrix
• iscentro
• isbounded
• ism(A) - determines if a matrix is an M-matrix
• isortho(A) - determines if a matrix is orthonormal
• isposdef(A) - determines if a matrix is positive definite
• isprimat(A) - determines if a matrix is prime
• isrso(A) - determine if a matrix is row sum one
• isstochastic(A) - determines if a matrix is stochastic
• istridiag
• istoeplitz(A) - determines if a matrix is Toeplitz
• isz(A) - determines if a matrix is a $Z$-matrix
• mkrowsto - makes a random row stochastic matrix
• mkdiagdom - makes a random diagonally dominant matrix
• mkrso - makes a random row sum one matrix
• numeldiag
• mat2latex

Check back for the remainder of the list. There are many other functions built but not listed or pushed to this repo (yet).