.TH "TESTING/LIN/cpbt01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/cpbt01.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBcpbt01\fP (uplo, n, kd, a, lda, afac, ldafac, rwork, resid)"
.br
.RI "\fBCPBT01\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine cpbt01 (character uplo, integer n, integer kd, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldafac, * ) afac, integer ldafac, real, dimension( * ) rwork, real resid)"

.PP
\fBCPBT01\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 CPBT01 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 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 CPBTRF 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 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 CPBTRF\&.
.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 REAL array, dimension (N)
.fi
.PP
.br
\fIRESID\fP 
.PP
.nf
          RESID is REAL
          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 \fBcpbt01\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.