Module russell_lab::matrix

This module contains functions for calculations with matrices

Structs

• NumMatrix
  Implements a matrix with numeric components for linear algebra

Functions

• complex_mat_add
  Performs the addition of two matrices
• complex_mat_approx_eq
  Panics if two matrices are not approximately equal to each other
• complex_mat_cholesky
  (zpotrf) Performs the Cholesky factorization of a Hermitian positive-definite matrix
• complex_mat_copy
  (zcopy) Copies complex matrix
• complex_mat_eigen
  (zgeev) Performs the eigen-decomposition of a square matrix
• complex_mat_eigen_herm
  (zheev) Performs the eigen-decomposition of a hermitian matrix
• complex_mat_eigen_lr
  Performs the eigen-decomposition of a square matrix (left and right)
• complex_mat_gen_eigen
  (zggev) Computes the generalized eigenvalues and right eigenvectors
• complex_mat_gen_eigen_lr
  Computes the generalized eigenvalues and eigenvectors (left and right)
• complex_mat_herm_rank_op
  (zherk) Performs a hermitian rank k operations
• complex_mat_inverse
  (zgetrf, zgetri) Computes the inverse of a square matrix and returns its determinant
• complex_mat_mat_mul
  (zgemm) Performs the matrix-matrix multiplication resulting in a matrix
• complex_mat_norm
  (zlange) Computes the matrix norm
• complex_mat_scale
  (zscal) Scales matrix
• complex_mat_svd
  (zgesvd) Computes the singular value decomposition (SVD) of a matrix
• complex_mat_sym_rank_op
  (zsyrk) Performs a symmetric rank k operation
• complex_mat_t_mat_mul
  (zgemm) Performs the transpose(matrix)-matrix multiplication
• complex_mat_unzip
  Zips two arrays (real and imag) to make a new ComplexMatrix
• complex_mat_update
  (zaxpy) Updates matrix based on another matrix
• complex_mat_zip
  Zips two arrays (real and imag) to make a new ComplexMatrix
• mat_add
  Performs the addition of two matrices
• mat_approx_eq
  Panics if two matrices are not approximately equal to each other
• mat_cholesky
  (dpotrf) Performs the Cholesky factorization of a symmetric positive-definite matrix
• mat_convert_to_blas_band
  Converts a general (dense) matrix to the BLAS band matrix format
• mat_copy
  (dcopy) Copies matrix
• mat_eigen
  (dgeev) Performs the eigen-decomposition of a square matrix
• mat_eigen_lr
  Performs the eigen-decomposition of a square matrix (left and right)
• mat_eigen_sym
  (dsyev) Calculates the eigenvalues and eigenvectors of a symmetric matrix
• mat_eigen_sym_jacobi
  Performs the Jacobi transformation of a symmetric matrix to find its eigenvectors and eigenvalues
• mat_gen_eigen
  (dggev) Computes the generalized eigenvalues and right eigenvectors
• mat_gen_eigen_lr
  Computes the generalized eigenvalues and eigenvectors (left and right)
• mat_inverse
  (dgetrf, dgetri) Computes the inverse of a square matrix and returns its determinant
• mat_mat_mul
  (dgemm) Performs the matrix-matrix multiplication
• mat_max_abs_diff
  Finds the maximum absolute difference between the components of two matrices
• mat_norm
  (dlange) Computes the matrix norm
• mat_pseudo_inverse
  Computes the pseudo-inverse matrix
• mat_scale
  (dscal) Scales matrix
• mat_svd
  (dgesvd) Computes the singular value decomposition (SVD) of a matrix
• mat_sym_rank_op
  (dsyrk) Performs a symmetric rank k operation
• mat_t_mat_mul
  (dgemm) Performs the transpose(matrix)-matrix multiplication
• mat_update
  (daxpy) Updates matrix based on another matrix
• mat_write_vismatrix
  Writes a text file that can be visualized with VisMatrix

Type Aliases

• ComplexMatrix
  Defines an alias to NumMatrix with Complex64
• Matrix
  Defines an alias to NumMatrix with f64