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

.in +1c
.ti -1c
.RI "real function \fBsla_gbrcond\fP (trans, n, kl, ku, ab, ldab, afb, ldafb, ipiv, cmode, c, info, work, iwork)"
.br
.RI "\fBSLA_GBRCOND\fP estimates the Skeel condition number for a general banded matrix\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "real function sla_gbrcond (character trans, integer n, integer kl, integer ku, real, dimension( ldab, * ) ab, integer ldab, real, dimension( ldafb, * ) afb, integer ldafb, integer, dimension( * ) ipiv, integer cmode, real, dimension( * ) c, integer info, real, dimension( * ) work, integer, dimension( * ) iwork)"

.PP
\fBSLA_GBRCOND\fP estimates the Skeel condition number for a general banded matrix\&.  
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\fBPurpose:\fP
.RS 4

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.nf
!>
!>    SLA_GBRCOND Estimates the Skeel condition number of  op(A) * op2(C)
!>    where op2 is determined by CMODE as follows
!>    CMODE =  1    op2(C) = C
!>    CMODE =  0    op2(C) = I
!>    CMODE = -1    op2(C) = inv(C)
!>    The Skeel condition number  cond(A) = norminf( |inv(A)||A| )
!>    is computed by computing scaling factors R such that
!>    diag(R)*A*op2(C) is row equilibrated and computing the standard
!>    infinity-norm condition number\&.
!> 
.fi
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.RE
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\fBParameters\fP
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\fITRANS\fP 
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!>          TRANS is CHARACTER*1
!>     Specifies the form of the system of equations:
!>       = 'N':  A * X = B     (No transpose)
!>       = 'T':  A**T * X = B  (Transpose)
!>       = 'C':  A**H * X = B  (Conjugate Transpose = Transpose)
!> 
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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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\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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\fIAB\fP 
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!>          AB is REAL 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 REAL array, dimension (LDAFB,N)
!>     Details of the LU factorization of the band matrix A, as
!>     computed by SGBTRF\&.  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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.br
\fILDAFB\fP 
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!>          LDAFB is INTEGER
!>     The leading dimension of the array AFB\&.  LDAFB >= 2*KL+KU+1\&.
!> 
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\fIIPIV\fP 
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!>          IPIV is INTEGER array, dimension (N)
!>     The pivot indices from the factorization A = P*L*U
!>     as computed by SGBTRF; row i of the matrix was interchanged
!>     with row IPIV(i)\&.
!> 
.fi
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\fICMODE\fP 
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!>          CMODE is INTEGER
!>     Determines op2(C) in the formula op(A) * op2(C) as follows:
!>     CMODE =  1    op2(C) = C
!>     CMODE =  0    op2(C) = I
!>     CMODE = -1    op2(C) = inv(C)
!> 
.fi
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\fIC\fP 
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!>          C is REAL array, dimension (N)
!>     The vector C in the formula op(A) * op2(C)\&.
!> 
.fi
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\fIINFO\fP 
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!>          INFO is INTEGER
!>       = 0:  Successful exit\&.
!>     i > 0:  The ith argument is invalid\&.
!> 
.fi
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\fIWORK\fP 
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!>          WORK is REAL array, dimension (5*N)\&.
!>     Workspace\&.
!> 
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\fIIWORK\fP 
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!>          IWORK is INTEGER array, dimension (N)\&.
!>     Workspace\&.
!> 
.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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Definition at line \fB166\fP of file \fBsla_gbrcond\&.f\fP\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.