H2Lib
3.0

Estimators for spectral norm of difference form differnt types of matrices and . Approximation of the form or with some factorized matrix or with some facotized matrix can be computed. More...
Functions  
real  norm2diff_amatrix_rkmatrix (pcrkmatrix a, pcamatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_amatrix_sparsematrix (pcsparsematrix a, pcamatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_amatrix_hmatrix (pchmatrix a, pcamatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_amatrix_h2matrix (pch2matrix a, pcamatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_amatrix_dh2matrix (pcdh2matrix a, pcamatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_rkmatrix_sparsematrix (pcsparsematrix a, pcrkmatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_rkmatrix_hmatrix (pchmatrix a, pcrkmatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_rkmatrix_h2matrix (pch2matrix a, pcrkmatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_rkmatrix_dh2matrix (pcdh2matrix a, pcrkmatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_sparsematrix_hmatrix (pchmatrix a, pcsparsematrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_sparsematrix_h2matrix (pch2matrix a, pcsparsematrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_sparsematrix_dh2matrix (pcdh2matrix a, pcsparsematrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_hmatrix_h2matrix (pch2matrix a, pchmatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_hmatrix_dh2matrix (pcdh2matrix a, pchmatrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_h2matrix_dh2matrix (pcdh2matrix a, pch2matrix b) 
Approximate the spectral norm of the difference of two matrices and . More...  
real  norm2diff_lr_amatrix (pcamatrix A, pcamatrix LR) 
Approximate the spectral norm of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 of the difference of two matrices and . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix 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 . The matrix is given as a Cholesky factorization and can be applied to some vector. More...  
Estimators for spectral norm of difference form differnt types of matrices and . Approximation of the form or with some factorized matrix or with some facotized matrix can be computed.
real norm2diff_amatrix_dh2matrix  (  pcdh2matrix  a, 
pcamatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  D matrix . 
b  Dense matrix . 
real norm2diff_amatrix_h2matrix  (  pch2matrix  a, 
pcamatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  matrix . 
b  Dense matrix . 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  Hierarchical matrix . 
b  Dense matrix . 
real norm2diff_amatrix_rkmatrix  (  pcrkmatrix  a, 
pcamatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  Low rank matrix . 
b  Dense matrix . 
real norm2diff_amatrix_sparsematrix  (  pcsparsematrix  a, 
pcamatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  Sparse matrix . 
b  Dense matrix . 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Dense matrix . 
chol  Dense Cholesky factorization of the matrix . 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Dense matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
real norm2diff_chol_dh2matrix_amatrix  (  pcdh2matrix  A, 
pcamatrix  chol  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  D matrix . 
chol  Dense Cholesky factorization of the matrix . 
real norm2diff_chol_dh2matrix_hmatrix  (  pcdh2matrix  A, 
pchmatrix  chol  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  D matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
real norm2diff_chol_h2matrix_amatrix  (  pch2matrix  A, 
pcamatrix  chol  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  matrix . 
chol  Dense Cholesky factorization of the matrix . 
real norm2diff_chol_h2matrix_hmatrix  (  pch2matrix  A, 
pchmatrix  chol  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Hierarchical matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Hierarchical matrix . 
chol  Dense Cholesky factorization of the matrix . 
real norm2diff_chol_sparsematrix_amatrix  (  pcsparsematrix  A, 
pcamatrix  chol  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Sparse matrix . 
chol  Dense Cholesky factorization of the matrix . 
real norm2diff_chol_sparsematrix_hmatrix  (  pcsparsematrix  A, 
pchmatrix  chol  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Sparse matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
real norm2diff_h2matrix_dh2matrix  (  pcdh2matrix  a, 
pch2matrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  D matrix . 
b  matrix . 
real norm2diff_hmatrix_dh2matrix  (  pcdh2matrix  a, 
pchmatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  D matrix . 
b  Hierarchical matrix . 
real norm2diff_hmatrix_h2matrix  (  pch2matrix  a, 
pchmatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  matrix . 
b  Hierarchical matrix . 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Dense matrix . 
chol  Dense Cholesky factorization of the matrix . 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Dense matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
real norm2diff_id_chol_dh2matrix_amatrix  (  pcdh2matrix  A, 
pcamatrix  chol  
) 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  D matrix . 
chol  Dense Cholesky factorization of the matrix . 
real norm2diff_id_chol_dh2matrix_hmatrix  (  pcdh2matrix  A, 
pchmatrix  chol  
) 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  D matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
real norm2diff_id_chol_h2matrix_amatrix  (  pch2matrix  A, 
pcamatrix  chol  
) 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  matrix . 
chol  Dense Cholesky factorization of the matrix . 
real norm2diff_id_chol_h2matrix_hmatrix  (  pch2matrix  A, 
pchmatrix  chol  
) 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Hierarchical matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Hierarchical matrix . 
chol  Dense Cholesky factorization of the matrix . 
real norm2diff_id_chol_sparsematrix_amatrix  (  pcsparsematrix  A, 
pcamatrix  chol  
) 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Sparse matrix . 
chol  Dense Cholesky factorization of the matrix . 
real norm2diff_id_chol_sparsematrix_hmatrix  (  pcsparsematrix  A, 
pchmatrix  chol  
) 
Approximate the spectral norm . The matrix is given as a Cholesky factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a Cholesky decomposition of .
A  Sparse matrix . 
chol  Hierarchical Cholesky factorization of the matrix . 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Dense matrix . 
LR  Dense LR factorization of the matrix . 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Dense matrix . 
LR  Hierarchical LR factorization of the matrix . 
real norm2diff_id_lr_dh2matrix_amatrix  (  pcdh2matrix  A, 
pcamatrix  LR  
) 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  D matrix . 
LR  Dense LR factorization of the matrix . 
real norm2diff_id_lr_dh2matrix_hmatrix  (  pcdh2matrix  A, 
pchmatrix  LR  
) 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  D matrix . 
LR  Hierarchical LR factorization of the matrix . 
real norm2diff_id_lr_h2matrix_amatrix  (  pch2matrix  A, 
pcamatrix  LR  
) 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  matrix . 
LR  Dense LR factorization of the matrix . 
real norm2diff_id_lr_h2matrix_hmatrix  (  pch2matrix  A, 
pchmatrix  LR  
) 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  matrix . 
LR  Hierarchical LR factorization of the matrix . 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Hierarchical matrix . 
LR  Hierarchical LR factorization of the matrix . 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Hierarchical matrix . 
LR  Dense LR factorization of the matrix . 
real norm2diff_id_lr_sparsematrix_amatrix  (  pcsparsematrix  A, 
pcamatrix  LR  
) 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Sparse matrix . 
LR  Dense LR factorization of the matrix . 
real norm2diff_id_lr_sparsematrix_hmatrix  (  pcsparsematrix  A, 
pchmatrix  LR  
) 
Approximate the spectral norm . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Sparse matrix . 
LR  Hierarchical LR factorization of the matrix . 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Dense matrix . 
LR  Dense LR factorization of the matrix . 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Dense matrix . 
LR  Hierarchical LR factorization of the matrix . 
real norm2diff_lr_dh2matrix_amatrix  (  pcdh2matrix  A, 
pcamatrix  LR  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  D matrix . 
LR  Dense LR factorization of the matrix . 
real norm2diff_lr_dh2matrix_hmatrix  (  pcdh2matrix  A, 
pchmatrix  LR  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  D matrix . 
LR  Hierarchical LR factorization of the matrix . 
real norm2diff_lr_h2matrix_amatrix  (  pch2matrix  A, 
pcamatrix  LR  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  matrix . 
LR  Dense LR factorization of the matrix . 
real norm2diff_lr_h2matrix_hmatrix  (  pch2matrix  A, 
pchmatrix  LR  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  matrix . 
LR  Hierarchical LR factorization of the matrix . 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Hierarchical matrix . 
LR  Hierarchical LR factorization of the matrix . 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Hierarchical matrix . 
LR  Dense LR factorization of the matrix . 
real norm2diff_lr_sparsematrix_amatrix  (  pcsparsematrix  A, 
pcamatrix  LR  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Sparse matrix . 
LR  Dense LR factorization of the matrix . 
real norm2diff_lr_sparsematrix_hmatrix  (  pcsparsematrix  A, 
pchmatrix  LR  
) 
Approximate the spectral norm of the difference of two matrices and . The matrix is given as a LR factorization and can be applied to some vector.
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation. is given as a LR decomposition of .
A  Sparse matrix . 
LR  Hierarchical LR factorization of the matrix . 
real norm2diff_rkmatrix_dh2matrix  (  pcdh2matrix  a, 
pcrkmatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  D matrix . 
b  Low rank matrix . 
real norm2diff_rkmatrix_h2matrix  (  pch2matrix  a, 
pcrkmatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  matrix . 
b  Low rank matrix . 
real norm2diff_rkmatrix_hmatrix  (  pchmatrix  a, 
pcrkmatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  Hierarchical matrix . 
b  Low rank matrix . 
real norm2diff_rkmatrix_sparsematrix  (  pcsparsematrix  a, 
pcrkmatrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  Sparse matrix . 
b  Low rank matrix . 
real norm2diff_sparsematrix_dh2matrix  (  pcdh2matrix  a, 
pcsparsematrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  D matrix . 
b  Sparse matrix . 
real norm2diff_sparsematrix_h2matrix  (  pch2matrix  a, 
pcsparsematrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  matrix . 
b  Sparse matrix . 
real norm2diff_sparsematrix_hmatrix  (  pchmatrix  a, 
pcsparsematrix  b  
) 
Approximate the spectral norm of the difference of two matrices and .
The spectral norm is approximated by applying a few steps of the power iteration to the matrix and computing the square root of the resulting eigenvalue approximation.
a  Hierarchical matrix . 
b  Sparse matrix . 