.TH "TESTING/LIN/zpbt01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/zpbt01.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzpbt01\fP (uplo, n, kd, a, lda, afac, ldafac, rwork, resid)"
.br
.RI "\fBZPBT01\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zpbt01 (character uplo, integer n, integer kd, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, double precision, dimension( * ) rwork, double precision resid)"

.PP
\fBZPBT01\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> ZPBT01 reconstructs a Hermitian positive definite band matrix A from
!> its L*L' or U'*U factorization and computes the residual
!>    norm( L*L' - A ) / ( N * norm(A) * EPS ) or
!>    norm( U'*U - A ) / ( N * norm(A) * EPS ),
!> where EPS is the machine epsilon, L' is the conjugate transpose of
!> L, and U' is the conjugate transpose of U\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
!>          UPLO is CHARACTER*1
!>          Specifies whether the upper or lower triangular part of the
!>          Hermitian matrix A is stored:
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The number of rows and columns of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fIKD\fP 
.PP
.nf
!>          KD is INTEGER
!>          The number of super-diagonals of the matrix A if UPLO = 'U',
!>          or the number of sub-diagonals if UPLO = 'L'\&.  KD >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The original Hermitian band matrix A\&.  If UPLO = 'U', the
!>          upper triangular part of A is stored as a band matrix; if
!>          UPLO = 'L', the lower triangular part of A is stored\&.  The
!>          columns of the appropriate triangle are stored in the columns
!>          of A and the diagonals of the triangle are stored in the rows
!>          of A\&.  See ZPBTRF for further details\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER\&.
!>          The leading dimension of the array A\&.  LDA >= max(1,KD+1)\&.
!> 
.fi
.PP
.br
\fIAFAC\fP 
.PP
.nf
!>          AFAC is COMPLEX*16 array, dimension (LDAFAC,N)
!>          The factored form of the matrix A\&.  AFAC contains the factor
!>          L or U from the L*L' or U'*U factorization in band storage
!>          format, as computed by ZPBTRF\&.
!> 
.fi
.PP
.br
\fILDAFAC\fP 
.PP
.nf
!>          LDAFAC is INTEGER
!>          The leading dimension of the array AFAC\&.
!>          LDAFAC >= max(1,KD+1)\&.
!> 
.fi
.PP
.br
\fIRWORK\fP 
.PP
.nf
!>          RWORK is DOUBLE PRECISION array, dimension (N)
!> 
.fi
.PP
.br
\fIRESID\fP 
.PP
.nf
!>          RESID is DOUBLE PRECISION
!>          If UPLO = 'L', norm(L*L' - A) / ( N * norm(A) * EPS )
!>          If UPLO = 'U', norm(U'*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 \fB118\fP of file \fBzpbt01\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.