la_porpvgrw(3) Library Functions Manual la_porpvgrw(3) NAME la_porpvgrw - la_porpvgrw: reciprocal pivot growth SYNOPSIS Functions real function cla_porpvgrw (uplo, ncols, a, lda, af, ldaf, work) CLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. double precision function dla_porpvgrw (uplo, ncols, a, lda, af, ldaf, work) DLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. real function sla_porpvgrw (uplo, ncols, a, lda, af, ldaf, work) SLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. double precision function zla_porpvgrw (uplo, ncols, a, lda, af, ldaf, work) ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. Detailed Description Function Documentation real function cla_porpvgrw (character*1 uplo, integer ncols, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf, real, dimension( * ) work) CLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. Purpose: !> !> !> CLA_PORPVGRW 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. !> NCOLS !> NCOLS is INTEGER !> The number of columns of the matrix A. NCOLS >= 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 triangular factor U or L from the Cholesky factorization !> A = U**T*U or A = L*L**T, as computed by CPOTRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> 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 104 of file cla_porpvgrw.f. double precision function dla_porpvgrw (character*1 uplo, integer ncols, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldaf, * ) af, integer ldaf, double precision, dimension( * ) work) DLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. Purpose: !> !> !> DLA_PORPVGRW 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. !> NCOLS !> NCOLS is INTEGER !> The number of columns of the matrix A. NCOLS >= 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 triangular factor U or L from the Cholesky factorization !> A = U**T*U or A = L*L**T, as computed by DPOTRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> 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 104 of file dla_porpvgrw.f. real function sla_porpvgrw (character*1 uplo, integer ncols, real, dimension( lda, * ) a, integer lda, real, dimension( ldaf, * ) af, integer ldaf, real, dimension( * ) work) SLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. Purpose: !> !> !> SLA_PORPVGRW 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. !> NCOLS !> NCOLS is INTEGER !> The number of columns of the matrix A. NCOLS >= 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 triangular factor U or L from the Cholesky factorization !> A = U**T*U or A = L*L**T, as computed by SPOTRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> 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 103 of file sla_porpvgrw.f. double precision function zla_porpvgrw (character*1 uplo, integer ncols, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldaf, * ) af, integer ldaf, double precision, dimension( * ) work) ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. Purpose: !> !> !> ZLA_PORPVGRW 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. !> NCOLS !> NCOLS is INTEGER !> The number of columns of the matrix A. NCOLS >= 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 triangular factor U or L from the Cholesky factorization !> A = U**T*U or A = L*L**T, as computed by ZPOTRF. !> LDAF !> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !> 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 105 of file zla_porpvgrw.f. Author Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 la_porpvgrw(3)