la_gerpvgrw - la_gerpvgrw: reciprocal pivot growth

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realfunctioncla_gerpvgrw(integern,integerncols,complex,dimension(lda,*)a,integerlda,complex,dimension(ldaf,*)af,integerldaf)CLA_GERPVGRW multiplies a square real matrix by a complex matrix. Purpose: CLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). The 'max absolute element' 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. ParametersN N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. 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 factors L and U from the factorization A = P*L*U as computed by CGETRF. LDAF LDAF is INTEGER The leading dimension of the array AF. LDAF >= max(1,N). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. doubleprecisionfunctiondla_gerpvgrw(integern,integerncols,doubleprecision,dimension(lda,*)a,integerlda,doubleprecision,dimension(ldaf,*)af,integerldaf)DLA_GERPVGRWPurpose: DLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). The 'max absolute element' 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. ParametersN N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. 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 factors L and U from the factorization A = P*L*U as computed by DGETRF. LDAF LDAF is INTEGER The leading dimension of the array AF. LDAF >= max(1,N). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. realfunctionsla_gerpvgrw(integern,integerncols,real,dimension(lda,*)a,integerlda,real,dimension(ldaf,*)af,integerldaf)SLA_GERPVGRWPurpose: SLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). The 'max absolute element' 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. ParametersN N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. 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 factors L and U from the factorization A = P*L*U as computed by SGETRF. LDAF LDAF is INTEGER The leading dimension of the array AF. LDAF >= max(1,N). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. doubleprecisionfunctionzla_gerpvgrw(integern,integerncols,complex*16,dimension(lda,*)a,integerlda,complex*16,dimension(ldaf,*)af,integerldaf)ZLA_GERPVGRW multiplies a square real matrix by a complex matrix. Purpose: ZLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). The 'max absolute element' 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. ParametersN N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. 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 factors L and U from the factorization A = P*L*U as computed by ZGETRF. LDAF LDAF is INTEGER The leading dimension of the array AF. LDAF >= max(1,N). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd.

la_gerpvgrw - la_gerpvgrw: reciprocal pivot growth

Functions real function cla_gerpvgrw (n, ncols, a, lda, af, ldaf) CLA_GERPVGRW multiplies a square real matrix by a complex matrix. double precision function dla_gerpvgrw (n, ncols, a, lda, af, ldaf) DLA_GERPVGRW real function sla_gerpvgrw (n, ncols, a, lda, af, ldaf) SLA_GERPVGRW double precision function zla_gerpvgrw (n, ncols, a, lda, af, ldaf) ZLA_GERPVGRW multiplies a square real matrix by a complex matrix.