matrixnorms.h

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/* ------------------------------------------------------------
 * This is the file "matrixnorms.h" of the H2Lib package.
 * All rights reserved, Sven Christophersen 2016
 * ------------------------------------------------------------ */

#ifndef MATRIXNORMS_H_
#define MATRIXNORMS_H_

#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"

/****************************************************
 * Norm2diff for amatrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_amatrix_rkmatrix(pcrkmatrix a, pcamatrix b);

HEADER_PREFIX real
norm2diff_amatrix_sparsematrix(pcsparsematrix a, pcamatrix b);

HEADER_PREFIX real
norm2diff_amatrix_hmatrix(pchmatrix a, pcamatrix b);

HEADER_PREFIX real
norm2diff_amatrix_h2matrix(pch2matrix a, pcamatrix b);

HEADER_PREFIX real
norm2diff_amatrix_dh2matrix(pcdh2matrix a, pcamatrix b);

/****************************************************
 * Norm2diff for rkmatrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_rkmatrix_sparsematrix(pcsparsematrix a, pcrkmatrix b);

HEADER_PREFIX real
norm2diff_rkmatrix_hmatrix(pchmatrix a, pcrkmatrix b);

HEADER_PREFIX real
norm2diff_rkmatrix_h2matrix(pch2matrix a, pcrkmatrix b);

HEADER_PREFIX real
norm2diff_rkmatrix_dh2matrix(pcdh2matrix a, pcrkmatrix b);

/****************************************************
 * Norm2diff for sparsematrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_sparsematrix_hmatrix(pchmatrix a, pcsparsematrix b);

HEADER_PREFIX real
norm2diff_sparsematrix_h2matrix(pch2matrix a, pcsparsematrix b);

HEADER_PREFIX real
norm2diff_sparsematrix_dh2matrix(pcdh2matrix a, pcsparsematrix b);

/****************************************************
 * Norm2diff for hmatrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_hmatrix_h2matrix(pch2matrix a, pchmatrix b);

HEADER_PREFIX real
norm2diff_hmatrix_dh2matrix(pcdh2matrix a, pchmatrix b);

/****************************************************
 * Norm2diff for h2matrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_h2matrix_dh2matrix(pcdh2matrix a, pch2matrix b);

/****************************************************
 * Norm2diff_pre_matrix for amatrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_lr_amatrix(pcamatrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_lr_amatrix_hmatrix(pcamatrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_chol_amatrix(pcamatrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_chol_amatrix_hmatrix(pcamatrix A, pchmatrix chol);

/****************************************************
 * Norm2diff_pre_matrix for hmatrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_lr_hmatrix_amatrix(pchmatrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_lr_hmatrix(pchmatrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_chol_hmatrix_amatrix(pchmatrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_chol_hmatrix(pchmatrix A, pchmatrix chol);

/****************************************************
 * Norm2diff_pre_matrix for sparsematrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_lr_sparsematrix_amatrix(pcsparsematrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_lr_sparsematrix_hmatrix(pcsparsematrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_chol_sparsematrix_amatrix(pcsparsematrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_chol_sparsematrix_hmatrix(pcsparsematrix A, pchmatrix chol);

/****************************************************
 * Norm2diff_pre_matrix for h2matrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_lr_h2matrix_amatrix(pch2matrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_lr_h2matrix_hmatrix(pch2matrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_chol_h2matrix_amatrix(pch2matrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_chol_h2matrix_hmatrix(pch2matrix A, pchmatrix chol);

/****************************************************
 * Norm2diff_pre_matrix for dh2matrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_lr_dh2matrix_amatrix(pcdh2matrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_lr_dh2matrix_hmatrix(pcdh2matrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_chol_dh2matrix_amatrix(pcdh2matrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_chol_dh2matrix_hmatrix(pcdh2matrix A, pchmatrix chol);

/****************************************************
 * Norm2diff_id_pre_matrix for amatrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_id_lr_amatrix(pcamatrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_id_lr_amatrix_hmatrix(pcamatrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_id_chol_amatrix(pcamatrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_id_chol_amatrix_hmatrix(pcamatrix A, pchmatrix chol);

/****************************************************
 * Norm2diff_id_pre_matrix for hmatrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_id_lr_hmatrix_amatrix(pchmatrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_id_lr_hmatrix(pchmatrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_id_chol_hmatrix_amatrix(pchmatrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_id_chol_hmatrix(pchmatrix A, pchmatrix chol);

/****************************************************
 * Norm2diff_id_pre_matrix for sparsematrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_id_lr_sparsematrix_amatrix(pcsparsematrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_id_lr_sparsematrix_hmatrix(pcsparsematrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_id_chol_sparsematrix_amatrix(pcsparsematrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_id_chol_sparsematrix_hmatrix(pcsparsematrix A, pchmatrix chol);

/****************************************************
 * Norm2diff_id_pre_matrix for h2matrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_id_lr_h2matrix_amatrix(pch2matrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_id_lr_h2matrix_hmatrix(pch2matrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_id_chol_h2matrix_amatrix(pch2matrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_id_chol_h2matrix_hmatrix(pch2matrix A, pchmatrix chol);

/****************************************************
 * Norm2diff_id_pre_matrix for dh2matrix
 ****************************************************/

HEADER_PREFIX real
norm2diff_id_lr_dh2matrix_amatrix(pcdh2matrix A, pcamatrix LR);

HEADER_PREFIX real
norm2diff_id_lr_dh2matrix_hmatrix(pcdh2matrix A, pchmatrix LR);

HEADER_PREFIX real
norm2diff_id_chol_dh2matrix_amatrix(pcdh2matrix A, pcamatrix chol);

HEADER_PREFIX real
norm2diff_id_chol_dh2matrix_hmatrix(pcdh2matrix A, pchmatrix chol);

#endif /* MATRIXNORMS_H_ */