.TH "SRC/dla_gbrpvgrw.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
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.SH NAME
SRC/dla_gbrpvgrw.f
.SH SYNOPSIS
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.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "double precision function \fBdla_gbrpvgrw\fP (n, kl, ku, ncols, ab, ldab, afb, ldafb)"
.br
.RI "\fBDLA_GBRPVGRW\fP computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "double precision function dla_gbrpvgrw (integer n, integer kl, integer ku, integer ncols, double precision, dimension( ldab, * ) ab, integer ldab, double precision, dimension( ldafb, * ) afb, integer ldafb)"

.PP
\fBDLA_GBRPVGRW\fP computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix\&.  
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\fBPurpose:\fP
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.nf
!>
!> DLA_GBRPVGRW 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\&.
!> 
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.RE
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\fBParameters\fP
.RS 4
\fIN\fP 
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!>          N is INTEGER
!>     The number of linear equations, i\&.e\&., the order of the
!>     matrix A\&.  N >= 0\&.
!> 
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\fIKL\fP 
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!>          KL is INTEGER
!>     The number of subdiagonals within the band of A\&.  KL >= 0\&.
!> 
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\fIKU\fP 
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!>          KU is INTEGER
!>     The number of superdiagonals within the band of A\&.  KU >= 0\&.
!> 
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\fINCOLS\fP 
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!>          NCOLS is INTEGER
!>     The number of columns of the matrix A\&.  NCOLS >= 0\&.
!> 
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\fIAB\fP 
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!>          AB is DOUBLE PRECISION array, dimension (LDAB,N)
!>     On entry, the matrix A in band storage, in rows 1 to KL+KU+1\&.
!>     The j-th column of A is stored in the j-th column of the
!>     array AB as follows:
!>     AB(KU+1+i-j,j) = A(i,j) for max(1,j-KU)<=i<=min(N,j+kl)
!> 
.fi
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\fILDAB\fP 
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!>          LDAB is INTEGER
!>     The leading dimension of the array AB\&.  LDAB >= KL+KU+1\&.
!> 
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\fIAFB\fP 
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!>          AFB is DOUBLE PRECISION array, dimension (LDAFB,N)
!>     Details of the LU factorization of the band matrix A, as
!>     computed by DGBTRF\&.  U is stored as an upper triangular
!>     band matrix with KL+KU superdiagonals in rows 1 to KL+KU+1,
!>     and the multipliers used during the factorization are stored
!>     in rows KL+KU+2 to 2*KL+KU+1\&.
!> 
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\fILDAFB\fP 
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!>          LDAFB is INTEGER
!>     The leading dimension of the array AFB\&.  LDAFB >= 2*KL+KU+1\&.
!> 
.fi
.PP
 
.RE
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\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 

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Univ\&. of California Berkeley 

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Univ\&. of Colorado Denver 

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NAG Ltd\&. 
.RE
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Definition at line \fB115\fP of file \fBdla_gbrpvgrw\&.f\fP\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.