.TH "TESTING/LIN/sgbt01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/sgbt01.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBsgbt01\fP (m, n, kl, ku, a, lda, afac, ldafac, ipiv, work, resid)"
.br
.RI "\fBSGBT01\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine sgbt01 (integer m, integer n, integer kl, integer ku, real, dimension( lda, * ) a, integer lda, real, dimension( ldafac, * ) afac, integer ldafac, integer, dimension( * ) ipiv, real, dimension( * ) work, real resid)"

.PP
\fBSGBT01\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> SGBT01 reconstructs a band matrix A from its L*U factorization and
!> computes the residual:
!>    norm(L*U - A) / ( N * norm(A) * EPS ),
!> where EPS is the machine epsilon\&.
!>
!> The expression L*U - A is computed one column at a time, so A and
!> AFAC are not modified\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIM\fP 
.PP
.nf
!>          M is INTEGER
!>          The number of rows of the matrix A\&.  M >= 0\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The number of columns of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fIKL\fP 
.PP
.nf
!>          KL is INTEGER
!>          The number of subdiagonals within the band of A\&.  KL >= 0\&.
!> 
.fi
.PP
.br
\fIKU\fP 
.PP
.nf
!>          KU is INTEGER
!>          The number of superdiagonals within the band of A\&.  KU >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is REAL array, dimension (LDA,N)
!>          The original matrix A in band storage, stored in rows 1 to
!>          KL+KU+1\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER\&.
!>          The leading dimension of the array A\&.  LDA >= max(1,KL+KU+1)\&.
!> 
.fi
.PP
.br
\fIAFAC\fP 
.PP
.nf
!>          AFAC is REAL array, dimension (LDAFAC,N)
!>          The factored form of the matrix A\&.  AFAC contains the banded
!>          factors L and U from the L*U factorization, 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\&.  See SGBTRF for further details\&.
!> 
.fi
.PP
.br
\fILDAFAC\fP 
.PP
.nf
!>          LDAFAC is INTEGER
!>          The leading dimension of the array AFAC\&.
!>          LDAFAC >= max(1,2*KL*KU+1)\&.
!> 
.fi
.PP
.br
\fIIPIV\fP 
.PP
.nf
!>          IPIV is INTEGER array, dimension (min(M,N))
!>          The pivot indices from SGBTRF\&.
!> 
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
!>          WORK is REAL array, dimension (2*KL+KU+1)
!> 
.fi
.PP
.br
\fIRESID\fP 
.PP
.nf
!>          RESID is REAL
!>          norm(L*U - A) / ( N * norm(A) * EPS )
!> 
.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

.PP
Definition at line \fB124\fP of file \fBsgbt01\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.