.TH "cla_gbrpvgrw.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*-
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.SH NAME
cla_gbrpvgrw.f \- 
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

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.ti -1c
.RI "real function \fBcla_gbrpvgrw\fP (N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB)"
.br
.RI "\fI\fBCLA_GBRPVGRW\fP computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix\&. \fP"
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.SH "Function/Subroutine Documentation"
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.SS "real function cla_gbrpvgrw (integerN, integerKL, integerKU, integerNCOLS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldafb, * )AFB, integerLDAFB)"

.PP
\fBCLA_GBRPVGRW\fP computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix\&.  
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\fBPurpose: \fP
.RS 4

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.nf
 CLA_GBRPVGRW 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
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.RE
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\fBParameters:\fP
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\fIN\fP 
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          N is INTEGER
     The number of linear equations, i.e., the order of the
     matrix A.  N >= 0.
.fi
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.br
\fIKL\fP 
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          KL is INTEGER
     The number of subdiagonals within the band of A.  KL >= 0.
.fi
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\fIKU\fP 
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          KU is INTEGER
     The number of superdiagonals within the band of A.  KU >= 0.
.fi
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\fINCOLS\fP 
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          NCOLS is INTEGER
     The number of columns of the matrix A.  NCOLS >= 0.
.fi
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\fIAB\fP 
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          AB is COMPLEX 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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.br
\fILDAB\fP 
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          LDAB is INTEGER
     The leading dimension of the array AB.  LDAB >= KL+KU+1.
.fi
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\fIAFB\fP 
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          AFB is COMPLEX array, dimension (LDAFB,N)
     Details of the LU factorization of the band matrix A, as
     computed by CGBTRF.  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.
.fi
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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
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.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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\fBDate:\fP
.RS 4
September 2012 
.RE
.PP

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Definition at line 117 of file cla_gbrpvgrw\&.f\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.