Module utils 

Utility functions shared across matrix function modules

Functions

check_positive_definite

Check if all eigenvalues are positive (for positive definite matrices)

check_positive_semidefinite

Check if all eigenvalues are non-negative (for positive semidefinite matrices)

frobenius_norm

Compute the Frobenius norm of a matrix

integer_matrix_power

Compute matrix power for small integer powers using repeated squaring

is_diagonal

Check if a matrix is diagonal

is_identity

Check if a matrix is the identity matrix

is_integer

Check if a floating point number is close to an integer

is_symmetric

Check if a matrix is symmetric

is_zero_matrix

Check if a matrix is the zero matrix

matrix_add

Add two matrices: result = A + B

matrix_diff_norm

Compute the maximum absolute difference between two matrices

matrix_multiply

Compute matrix multiplication C = A * B

matrix_subtract

Subtract two matrices: result = A - B

matrix_transpose

Compute the matrix transpose

scale_matrix

Scale a matrix by a scalar: result = alpha * A