.TH "dla_gbrpvgrw.f" 3 "Tue Nov 14 2017" "Version 3.8.0" "LAPACK" \" -*- nroff -*-
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.SH NAME
dla_gbrpvgrw.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "double precision function \fBdla_gbrpvgrw\fP (\fBN\fP, 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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.PP
.nf
 DLA_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
.RS 4
\fIN\fP 
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.nf
          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 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.
.fi
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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.
.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
.PP
\fBDate:\fP
.RS 4
December 2016 
.RE
.PP

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Definition at line 119 of file dla_gbrpvgrw\&.f\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.
