Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Matrices
Generate matrices with functions.
Matrix functions for generating matrices
— a desymmetrized matrix
— test if a matrix is detriangularizable.
— detriangularize a symmetric matrix that has been lower-triangularized or upper-triangularized
— find the Hessian matrix of a multivariate function
— test how easy it is to symmetrize a matrix by computing the number of symmetric elements of the matrix to the total number of elements of the matrix. A symmetric matrix returns 1; a nonsymmetric matrix returns 0.
— generate a pyramid matrix
— generate a reflected diagonal matrix
— generate the Ulam matrix
Triangular Matrices
— test if a matrix is detriangularizable.
— detriangularize a symmetric matrix that has been lower-triangularized or upper-triangularized
— build a lower right triangular matrix based on the antidiagonal
— test if a matrix is a lower right triangular matrix
— build an upper left triangular matrix based on the antidiagonal
— test if a matrix is an upper left triangular matrix
— form a left arrow matrix
— form a right arrow matrix
— form a top arrow matrix
— form a lower arrow matrix
Symmetry
— a desymmetrized matrix
— test how easy it is to symmetrize a matrix by computing the number of symmetric elements of the matrix to the total number of elements of the matrix. A symmetric matrix returns 1; a nonsymmetric matrix returns 0.
Antidiagonal functions
— Give the antidiagonal of a matrix
— Create an antidiagonal matrix by giving the antidiagonal
— Tests whether a matrix is an antidiagonal matrix.
— transpose a matrix around the antidiagonal
— test if a matrix is symmetric when reflected across the antidiagonal
— build a lower right triangular matrix based on the antidiagonal
— build an upper left triangular matrix based on the antidiagonal
Modifying matrices
— this could also be described as a ones matrix like OnesMatrix. This is useful when computing the resistance matrix of a graph, I think. In graph theory, the one's matrix is often denoted by J.
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