la_herpvgrw(3) Library Functions Manual la_herpvgrw(3) NAME la_herpvgrw - la_herpvgrw: reciprocal pivot growth SYNOPSIS Functions real function cla_herpvgrw (uplo, n, info, a, lda, af, ldaf, ipiv, work) CLA_HERPVGRW real function cla_syrpvgrw (uplo, n, info, a, lda, af, ldaf, ipiv, work) CLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. double precision function dla_syrpvgrw (uplo, n, info, a, lda, af, ldaf, ipiv, work) DLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. real function sla_syrpvgrw (uplo, n, info, a, lda, af, ldaf, ipiv, work) SLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. double precision function zla_herpvgrw (uplo, n, info, a, lda, af, ldaf, ipiv, work) ZLA_HERPVGRW double precision function zla_syrpvgrw (uplo, n, info, a, lda, af, ldaf, ipiv, work) ZLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. Detailed Description Function Documentation real function cla_herpvgrw (character*1 uplo, integer n, integer info, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, real, dimension( * ) work) CLA_HERPVGRW Purpose: !> !> !> CLA_HERPVGRW computes the reciprocal pivot growth factor !> norm(A)/norm(U). The norm is used. If this is !> much less than 1, the stability of the LU factorization of the !> (equilibrated) matrix A could be poor. This also means that the !> solution X, estimated condition numbers, and error bounds could be !> unreliable. !> Parameters UPLO !> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored. !> N !> N is INTEGER !> The number of linear equations, i.e., the order of the !> matrix A. N >= 0. !> INFO !> INFO is INTEGER !> The value of INFO returned from SSYTRF, .i.e., the pivot in !> column INFO is exactly 0. !> A !> A is COMPLEX array, dimension (LDA,N) !> On entry, the N-by-N matrix A. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> AF !> AF is COMPLEX array, dimension (LDAF,N) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by CHETRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by CHETRF. !> WORK !> WORK is REAL array, dimension (2*N) !> Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 121 of file cla_herpvgrw.f. real function cla_syrpvgrw (character*1 uplo, integer n, integer info, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, real, dimension( * ) work) CLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. Purpose: !> !> !> CLA_SYRPVGRW computes the reciprocal pivot growth factor !> norm(A)/norm(U). The norm is used. If this is !> much less than 1, the stability of the LU factorization of the !> (equilibrated) matrix A could be poor. This also means that the !> solution X, estimated condition numbers, and error bounds could be !> unreliable. !> Parameters UPLO !> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored. !> N !> N is INTEGER !> The number of linear equations, i.e., the order of the !> matrix A. N >= 0. !> INFO !> INFO is INTEGER !> The value of INFO returned from CSYTRF, .i.e., the pivot in !> column INFO is exactly 0. !> A !> A is COMPLEX array, dimension (LDA,N) !> On entry, the N-by-N matrix A. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> AF !> AF is COMPLEX array, dimension (LDAF,N) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by CSYTRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by CSYTRF. !> WORK !> WORK is REAL array, dimension (2*N) !> Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 121 of file cla_syrpvgrw.f. double precision function dla_syrpvgrw (character*1 uplo, integer n, integer info, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, double precision, dimension( * ) work) DLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. Purpose: !> !> !> DLA_SYRPVGRW computes the reciprocal pivot growth factor !> norm(A)/norm(U). The norm is used. If this is !> much less than 1, the stability of the LU factorization of the !> (equilibrated) matrix A could be poor. This also means that the !> solution X, estimated condition numbers, and error bounds could be !> unreliable. !> Parameters UPLO !> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored. !> N !> N is INTEGER !> The number of linear equations, i.e., the order of the !> matrix A. N >= 0. !> INFO !> INFO is INTEGER !> The value of INFO returned from DSYTRF, .i.e., the pivot in !> column INFO is exactly 0. !> A !> A is DOUBLE PRECISION array, dimension (LDA,N) !> On entry, the N-by-N matrix A. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> AF !> AF is DOUBLE PRECISION array, dimension (LDAF,N) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by DSYTRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by DSYTRF. !> WORK !> WORK is DOUBLE PRECISION array, dimension (2*N) !> Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 120 of file dla_syrpvgrw.f. real function sla_syrpvgrw (character*1 uplo, integer n, integer info, real, dimension( lda, * ) a, integer lda, real, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, real, dimension( * ) work) SLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. Purpose: !> !> !> SLA_SYRPVGRW computes the reciprocal pivot growth factor !> norm(A)/norm(U). The norm is used. If this is !> much less than 1, the stability of the LU factorization of the !> (equilibrated) matrix A could be poor. This also means that the !> solution X, estimated condition numbers, and error bounds could be !> unreliable. !> Parameters UPLO !> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored. !> N !> N is INTEGER !> The number of linear equations, i.e., the order of the !> matrix A. N >= 0. !> INFO !> INFO is INTEGER !> The value of INFO returned from SSYTRF, .i.e., the pivot in !> column INFO is exactly 0. !> A !> A is REAL array, dimension (LDA,N) !> On entry, the N-by-N matrix A. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> AF !> AF is REAL array, dimension (LDAF,N) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by SSYTRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by SSYTRF. !> WORK !> WORK is REAL array, dimension (2*N) !> Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 120 of file sla_syrpvgrw.f. double precision function zla_herpvgrw (character*1 uplo, integer n, integer info, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, double precision, dimension( * ) work) ZLA_HERPVGRW Purpose: !> !> !> ZLA_HERPVGRW computes the reciprocal pivot growth factor !> norm(A)/norm(U). The norm is used. If this is !> much less than 1, the stability of the LU factorization of the !> (equilibrated) matrix A could be poor. This also means that the !> solution X, estimated condition numbers, and error bounds could be !> unreliable. !> Parameters UPLO !> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored. !> N !> N is INTEGER !> The number of linear equations, i.e., the order of the !> matrix A. N >= 0. !> INFO !> INFO is INTEGER !> The value of INFO returned from ZHETRF, .i.e., the pivot in !> column INFO is exactly 0. !> A !> A is COMPLEX*16 array, dimension (LDA,N) !> On entry, the N-by-N matrix A. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> AF !> AF is COMPLEX*16 array, dimension (LDAF,N) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by ZHETRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by ZHETRF. !> WORK !> WORK is DOUBLE PRECISION array, dimension (2*N) !> Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 121 of file zla_herpvgrw.f. double precision function zla_syrpvgrw (character*1 uplo, integer n, integer info, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, double precision, dimension( * ) work) ZLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. Purpose: !> !> !> ZLA_SYRPVGRW computes the reciprocal pivot growth factor !> norm(A)/norm(U). The norm is used. If this is !> much less than 1, the stability of the LU factorization of the !> (equilibrated) matrix A could be poor. This also means that the !> solution X, estimated condition numbers, and error bounds could be !> unreliable. !> Parameters UPLO !> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored. !> N !> N is INTEGER !> The number of linear equations, i.e., the order of the !> matrix A. N >= 0. !> INFO !> INFO is INTEGER !> The value of INFO returned from ZSYTRF, .i.e., the pivot in !> column INFO is exactly 0. !> A !> A is COMPLEX*16 array, dimension (LDA,N) !> On entry, the N-by-N matrix A. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> AF !> AF is COMPLEX*16 array, dimension (LDAF,N) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by ZSYTRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by ZSYTRF. !> WORK !> WORK is DOUBLE PRECISION array, dimension (2*N) !> Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 121 of file zla_syrpvgrw.f. Author Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 la_herpvgrw(3)