.TH "la_gerpvgrw" 3 "Wed Feb 7 2024 11:30:40" "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
la_gerpvgrw \- la_gerpvgrw: reciprocal pivot growth
.SH SYNOPSIS
.br
.PP
.SS "Functions"

.in +1c
.ti -1c
.RI "real function \fBcla_gerpvgrw\fP (n, ncols, a, lda, af, ldaf)"
.br
.RI "\fBCLA_GERPVGRW\fP multiplies a square real matrix by a complex matrix\&. "
.ti -1c
.RI "double precision function \fBdla_gerpvgrw\fP (n, ncols, a, lda, af, ldaf)"
.br
.RI "\fBDLA_GERPVGRW\fP "
.ti -1c
.RI "real function \fBsla_gerpvgrw\fP (n, ncols, a, lda, af, ldaf)"
.br
.RI "\fBSLA_GERPVGRW\fP "
.ti -1c
.RI "double precision function \fBzla_gerpvgrw\fP (n, ncols, a, lda, af, ldaf)"
.br
.RI "\fBZLA_GERPVGRW\fP multiplies a square real matrix by a complex matrix\&. "
.in -1c
.SH "Detailed Description"
.PP 

.SH "Function Documentation"
.PP 
.SS "real function cla_gerpvgrw (integer n, integer ncols, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf)"

.PP
\fBCLA_GERPVGRW\fP multiplies a square real matrix by a complex matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 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\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
     The number of linear equations, i\&.e\&., the order of the
     matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fINCOLS\fP 
.PP
.nf
          NCOLS is INTEGER
     The number of columns of the matrix A\&. NCOLS >= 0\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is COMPLEX array, dimension (LDA,N)
     On entry, the N-by-N matrix A\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
     The leading dimension of the array A\&.  LDA >= max(1,N)\&.
.fi
.PP
.br
\fIAF\fP 
.PP
.nf
          AF is COMPLEX array, dimension (LDAF,N)
     The factors L and U from the factorization
     A = P*L*U as computed by CGETRF\&.
.fi
.PP
.br
\fILDAF\fP 
.PP
.nf
          LDAF is INTEGER
     The leading dimension of the array AF\&.  LDAF >= max(1,N)\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.SS "double precision function dla_gerpvgrw (integer n, integer ncols, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldaf, * ) af, integer ldaf)"

.PP
\fBDLA_GERPVGRW\fP  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 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\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
     The number of linear equations, i\&.e\&., the order of the
     matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fINCOLS\fP 
.PP
.nf
          NCOLS is INTEGER
     The number of columns of the matrix A\&. NCOLS >= 0\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is DOUBLE PRECISION array, dimension (LDA,N)
     On entry, the N-by-N matrix A\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
     The leading dimension of the array A\&.  LDA >= max(1,N)\&.
.fi
.PP
.br
\fIAF\fP 
.PP
.nf
          AF is DOUBLE PRECISION array, dimension (LDAF,N)
     The factors L and U from the factorization
     A = P*L*U as computed by DGETRF\&.
.fi
.PP
.br
\fILDAF\fP 
.PP
.nf
          LDAF is INTEGER
     The leading dimension of the array AF\&.  LDAF >= max(1,N)\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.SS "real function sla_gerpvgrw (integer n, integer ncols, real, dimension( lda, * ) a, integer lda, real, dimension( ldaf, * ) af, integer ldaf)"

.PP
\fBSLA_GERPVGRW\fP  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 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\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
     The number of linear equations, i\&.e\&., the order of the
     matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fINCOLS\fP 
.PP
.nf
          NCOLS is INTEGER
     The number of columns of the matrix A\&. NCOLS >= 0\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is REAL array, dimension (LDA,N)
     On entry, the N-by-N matrix A\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
     The leading dimension of the array A\&.  LDA >= max(1,N)\&.
.fi
.PP
.br
\fIAF\fP 
.PP
.nf
          AF is REAL array, dimension (LDAF,N)
     The factors L and U from the factorization
     A = P*L*U as computed by SGETRF\&.
.fi
.PP
.br
\fILDAF\fP 
.PP
.nf
          LDAF is INTEGER
     The leading dimension of the array AF\&.  LDAF >= max(1,N)\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.SS "double precision function zla_gerpvgrw (integer n, integer ncols, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldaf, * ) af, integer ldaf)"

.PP
\fBZLA_GERPVGRW\fP multiplies a square real matrix by a complex matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 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\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
     The number of linear equations, i\&.e\&., the order of the
     matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fINCOLS\fP 
.PP
.nf
          NCOLS is INTEGER
     The number of columns of the matrix A\&. NCOLS >= 0\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is COMPLEX*16 array, dimension (LDA,N)
     On entry, the N-by-N matrix A\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
     The leading dimension of the array A\&.  LDA >= max(1,N)\&.
.fi
.PP
.br
\fIAF\fP 
.PP
.nf
          AF is COMPLEX*16 array, dimension (LDAF,N)
     The factors L and U from the factorization
     A = P*L*U as computed by ZGETRF\&.
.fi
.PP
.br
\fILDAF\fP 
.PP
.nf
          LDAF is INTEGER
     The leading dimension of the array AF\&.  LDAF >= max(1,N)\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.