matrix_analyze

matrix_analyze, an Octave code which accepts a matrix and reports on whether it has various properties.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

matrix_analyze is available in a MATLAB version and an Octave version.

Related Programs:

matrix_analyze_test

r8lib, an Octave code which contains many utility routines using double precision real (r8) arithmetic.

test_matrix, an Octave code which defines test matrices for which the condition number, determinant, eigenvalues, eigenvectors, inverse, null vectors, P*L*U factorization or linear system solution are known. Examples include the Fibonacci, Hilbert, Redheffer, Vandermonde, Wathen and Wilkinson matrices.

Source Code:

• i4_modp.m, returns the nonnegative remainder of integer division;
• r8mat_analyze.m, analyzes an R8MAT.
• r8mat_cholesky_factor.m, computes the Cholesky factor L*L' of a symmetric positive definite R8MAT;
• r8mat_identity.m, sets an R8MAT to the MxN identity matrix;
• r8mat_is_adjacency.m, is TRUE if an R8MAT is an adjacency matrix.
• r8mat_is_anticirculant.m, is TRUE if an R8MAT is an anticirculant matrix.
• r8mat_is_antipersymmetric.m, is TRUE if an R8MAT is an antipersymmetric matrix.
• r8mat_is_antisymmetric.m, is TRUE if an R8MAT is an antisymmetric matrix.
• r8mat_is_banded_lower.m, is TRUE if an R8MAT is a lower banded matrix.
• r8mat_is_banded_upper.m, is TRUE if an R8MAT is an upper banded matrix.
• r8mat_is_centrosymmetric.m, is TRUE if an R8MAT is a centrosymmetric matrix.
• r8mat_is_circulant.m, is TRUE if an R8MAT is a circulant matrix.
• r8mat_is_cyclic_tridiagonal.m, is TRUE if an R8MAT is a cyclic tridiagonal matrix.
• r8mat_is_diag2.m, returns the number of nonzero diagonals.
• r8mat_is_diagonally_dominant.m, is TRUE if an R8MAT is diagonally dominant.
• r8mat_is_diagonally_dominant_column.m, is TRUE if an R8MAT is column diagonally dominant.
• r8mat_is_diagonally_dominant_row.m, is TRUE if an R8MAT is row diagonally dominant.
• r8mat_is_hankel.m, is TRUE if an R8MAT is a Hankel matrix.
• r8mat_is_identity.m, determines if a matrix is the identity matrix.
• r8mat_is_integer.m, is TRUE if an R8MAT is an integer matrix.
• r8mat_is_irreducible.m, is TRUE if an R8MAT is an irreducible matrix.
• r8mat_is_l.m, is TRUE if an R8MAT is an L matrix.
• r8mat_is_m.m, is TRUE if an R8MAT is an M matrix.
• r8mat_is_negative.m, is TRUE if an R8MAT is a negative matrix.
• r8mat_is_normal.m, is TRUE if an R8MAT is a normal matrix.
• r8mat_is_orthogonal.m, is TRUE if an R8MAT is orthogonal.
• r8mat_is_orthogonal_column.m, is TRUE if an R8MAT is column orthogonal.
• r8mat_is_orthogonal_row.m, is TRUE if an R8MAT is row orthogonal.
• r8mat_is_permutation.m, is TRUE if an R8MAT is a permutation matrix.
• r8mat_is_persymmetric.m, is TRUE if an R8MAT is a persymmetric matrix.
• r8mat_is_positive.m, is TRUE if an R8MAT is a positive matrix.
• r8mat_is_propa.m, is TRUE if an R8MAT is a property A matrix.
• r8mat_is_ref.m, is TRUE if an R8MAT is a row echelon form matrix.
• r8mat_is_scalar.m, is TRUE if an R8MAT is a scalar matrix.
• r8mat_is_scalar_antidiagonal.m, is TRUE if an R8MAT is a scalar antidiagonal matrix.
• r8mat_is_scalar_column.m, is TRUE if an R8MAT is a scalar column matrix.
• r8mat_is_scalar_diagonal.m, is TRUE if an R8MAT is a scalar diagonal matrix.
• r8mat_is_scalar_row.m, is TRUE if an R8MAT is a scalar row matrix.
• r8mat_is_sparse.m, returns the relative sparseness of a matrix.
• r8mat_is_spd.m, is TRUE if an R8MAT is a symmetric positive definite matrix.
• r8mat_is_square.m, determines if an R8MAT is square.
• r8mat_is_stochastic.m, is TRUE if an R8MAT is a stochastic matrix.
• r8mat_is_sum.m, is TRUE if an R8MAT has constant row or column sums.
• r8mat_is_sum_column.m, is TRUE if an R8MAT has constant column sums.
• r8mat_is_sum_magic.m, is TRUE if an R8MAT is a magic matrix.
• r8mat_is_sum_magic_weak.m, is TRUE if an R8MAT is a weakly magic matrix.
• r8mat_is_sum_row.m, is TRUE if an R8MAT has constant row sums.
• r8mat_is_symmetric.m, determines if an R8MAT is symmetric.
• r8mat_is_toeplitz.m, is TRUE if an R8MAT is a Toeplitz matrix.
• r8mat_is_tournament.m, is TRUE if an R8MAT is a tournament matrix.
• r8mat_is_transition.m, determines if a matrix is a transition matrix.
• r8mat_is_triangular.m, is TRUE if an R8MAT is a triangular matrix.
• r8mat_is_triangular_lower.m, is TRUE if an R8MAT is a lower triangular matrix.
• r8mat_is_triangular_upper.m, is TRUE if an R8MAT is an upper triangular matrix.
• r8mat_is_unit_column.m, is TRUE if an R8MAT has columns of unit norm.
• r8mat_is_unit_row.m, is TRUE if an R8MAT has rows of unit norm.
• r8mat_is_zero_one.m, is TRUE if an R8MAT is a zero-one matrix.
• r8mat_print.m, prints an R8MAT;
• r8mat_print_some.m, prints some of an R8MAT;
• r8vec_norm_l2.m, returns the L2 norm of an R8VEC.