H2Lib  3.0
Functions
matrixnorms.h File Reference
#include "basic.h"
#include "krylov.h"
#include "amatrix.h"
#include "rkmatrix.h"
#include "hmatrix.h"
#include "h2matrix.h"
#include "dh2matrix.h"
#include "sparsematrix.h"
#include "factorizations.h"
#include "harith.h"

Go to the source code of this file.

Functions

real norm2diff_amatrix_rkmatrix (pcrkmatrix a, pcamatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_amatrix_sparsematrix (pcsparsematrix a, pcamatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_amatrix_hmatrix (pchmatrix a, pcamatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_amatrix_h2matrix (pch2matrix a, pcamatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_amatrix_dh2matrix (pcdh2matrix a, pcamatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_rkmatrix_sparsematrix (pcsparsematrix a, pcrkmatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_rkmatrix_hmatrix (pchmatrix a, pcrkmatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_rkmatrix_h2matrix (pch2matrix a, pcrkmatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_rkmatrix_dh2matrix (pcdh2matrix a, pcrkmatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_sparsematrix_hmatrix (pchmatrix a, pcsparsematrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_sparsematrix_h2matrix (pch2matrix a, pcsparsematrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_sparsematrix_dh2matrix (pcdh2matrix a, pcsparsematrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_hmatrix_h2matrix (pch2matrix a, pchmatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_hmatrix_dh2matrix (pcdh2matrix a, pchmatrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_h2matrix_dh2matrix (pcdh2matrix a, pch2matrix b)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. More...
 
real norm2diff_lr_amatrix (pcamatrix A, pcamatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_lr_amatrix_hmatrix (pcamatrix A, pchmatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_chol_amatrix (pcamatrix A, pcamatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_chol_amatrix_hmatrix (pcamatrix A, pchmatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_lr_hmatrix_amatrix (pchmatrix A, pcamatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_lr_hmatrix (pchmatrix A, pchmatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_chol_hmatrix_amatrix (pchmatrix A, pcamatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_chol_hmatrix (pchmatrix A, pchmatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_lr_sparsematrix_amatrix (pcsparsematrix A, pcamatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_lr_sparsematrix_hmatrix (pcsparsematrix A, pchmatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_chol_sparsematrix_amatrix (pcsparsematrix A, pcamatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_chol_sparsematrix_hmatrix (pcsparsematrix A, pchmatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_lr_h2matrix_amatrix (pch2matrix A, pcamatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_lr_h2matrix_hmatrix (pch2matrix A, pchmatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_chol_h2matrix_amatrix (pch2matrix A, pcamatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_chol_h2matrix_hmatrix (pch2matrix A, pchmatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_lr_dh2matrix_amatrix (pcdh2matrix A, pcamatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_lr_dh2matrix_hmatrix (pcdh2matrix A, pchmatrix LR)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_chol_dh2matrix_amatrix (pcdh2matrix A, pcamatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_chol_dh2matrix_hmatrix (pcdh2matrix A, pchmatrix chol)
 Approximate the spectral norm $\|A-B\|_2$ of the difference of two matrices $A$ and $B$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_amatrix (pcamatrix A, pcamatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_amatrix_hmatrix (pcamatrix A, pchmatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_amatrix (pcamatrix A, pcamatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_amatrix_hmatrix (pcamatrix A, pchmatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_hmatrix_amatrix (pchmatrix A, pcamatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_hmatrix (pchmatrix A, pchmatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_hmatrix_amatrix (pchmatrix A, pcamatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_hmatrix (pchmatrix A, pchmatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_sparsematrix_amatrix (pcsparsematrix A, pcamatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_sparsematrix_hmatrix (pcsparsematrix A, pchmatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_sparsematrix_amatrix (pcsparsematrix A, pcamatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_sparsematrix_hmatrix (pcsparsematrix A, pchmatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_h2matrix_amatrix (pch2matrix A, pcamatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_h2matrix_hmatrix (pch2matrix A, pchmatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_h2matrix_amatrix (pch2matrix A, pcamatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_h2matrix_hmatrix (pch2matrix A, pchmatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_dh2matrix_amatrix (pcdh2matrix A, pcamatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_lr_dh2matrix_hmatrix (pcdh2matrix A, pchmatrix LR)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a LR factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_dh2matrix_amatrix (pcdh2matrix A, pcamatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 
real norm2diff_id_chol_dh2matrix_hmatrix (pcdh2matrix A, pchmatrix chol)
 Approximate the spectral norm $\|I - B^{-1}A\|_2$. The matrix $B$ is given as a Cholesky factorization and can be applied to some vector. More...
 

Detailed Description

Author
Sven Christophersen
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