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

.in +1c
.ti -1c
.RI "subroutine \fBzsyconvf\fP (uplo, way, n, a, lda, e, ipiv, info)"
.br
.RI "\fBZSYCONVF\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zsyconvf (character uplo, character way, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) e, integer, dimension( * ) ipiv, integer info)"

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

.PP
.nf
 If parameter WAY = 'C':
 ZSYCONVF converts the factorization output format used in
 ZSYTRF provided on entry in parameter A into the factorization
 output format used in ZSYTRF_RK (or ZSYTRF_BK) that is stored
 on exit in parameters A and E\&. It also converts in place details of
 the interchanges stored in IPIV from the format used in ZSYTRF into
 the format used in ZSYTRF_RK (or ZSYTRF_BK)\&.

 If parameter WAY = 'R':
 ZSYCONVF performs the conversion in reverse direction, i\&.e\&.
 converts the factorization output format used in ZSYTRF_RK
 (or ZSYTRF_BK) provided on entry in parameters A and E into
 the factorization output format used in ZSYTRF that is stored
 on exit in parameter A\&. It also converts in place details of
 the interchanges stored in IPIV from the format used in ZSYTRF_RK
 (or ZSYTRF_BK) into the format used in ZSYTRF\&.

 ZSYCONVF can also convert in Hermitian matrix case, i\&.e\&. between
 formats used in ZHETRF and ZHETRF_RK (or ZHETRF_BK)\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
          UPLO is CHARACTER*1
          Specifies whether the details of the factorization are
          stored as an upper or lower triangular matrix A\&.
          = 'U':  Upper triangular
          = 'L':  Lower triangular
.fi
.PP
.br
\fIWAY\fP 
.PP
.nf
          WAY is CHARACTER*1
          = 'C': Convert
          = 'R': Revert
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The order of the matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is COMPLEX*16 array, dimension (LDA,N)

          1) If WAY ='C':

          On entry, contains factorization details in format used in
          ZSYTRF:
            a) all elements of the symmetric block diagonal
               matrix D on the diagonal of A and on superdiagonal
               (or subdiagonal) of A, and
            b) If UPLO = 'U': multipliers used to obtain factor U
               in the superdiagonal part of A\&.
               If UPLO = 'L': multipliers used to obtain factor L
               in the superdiagonal part of A\&.

          On exit, contains factorization details in format used in
          ZSYTRF_RK or ZSYTRF_BK:
            a) ONLY diagonal elements of the symmetric block diagonal
               matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k);
               (superdiagonal (or subdiagonal) elements of D
                are stored on exit in array E), and
            b) If UPLO = 'U': factor U in the superdiagonal part of A\&.
               If UPLO = 'L': factor L in the subdiagonal part of A\&.

          2) If WAY = 'R':

          On entry, contains factorization details in format used in
          ZSYTRF_RK or ZSYTRF_BK:
            a) ONLY diagonal elements of the symmetric block diagonal
               matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k);
               (superdiagonal (or subdiagonal) elements of D
                are stored on exit in array E), and
            b) If UPLO = 'U': factor U in the superdiagonal part of A\&.
               If UPLO = 'L': factor L in the subdiagonal part of A\&.

          On exit, contains factorization details in format used in
          ZSYTRF:
            a) all elements of the symmetric block diagonal
               matrix D on the diagonal of A and on superdiagonal
               (or subdiagonal) of A, and
            b) If UPLO = 'U': multipliers used to obtain factor U
               in the superdiagonal part of A\&.
               If UPLO = 'L': multipliers used to obtain factor L
               in the superdiagonal part of A\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
.fi
.PP
.br
\fIE\fP 
.PP
.nf
          E is COMPLEX*16 array, dimension (N)

          1) If WAY ='C':

          On entry, just a workspace\&.

          On exit, contains the superdiagonal (or subdiagonal)
          elements of the symmetric block diagonal matrix D
          with 1-by-1 or 2-by-2 diagonal blocks, where
          If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0;
          If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0\&.

          2) If WAY = 'R':

          On entry, contains the superdiagonal (or subdiagonal)
          elements of the symmetric block diagonal matrix D
          with 1-by-1 or 2-by-2 diagonal blocks, where
          If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced;
          If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced\&.

          On exit, is not changed
.fi
.PP
 
.br
\fIIPIV\fP 
.PP
.nf
          IPIV is INTEGER array, dimension (N)

          1) If WAY ='C':
          On entry, details of the interchanges and the block
          structure of D in the format used in ZSYTRF\&.
          On exit, details of the interchanges and the block
          structure of D in the format used in ZSYTRF_RK
          ( or ZSYTRF_BK)\&.

          1) If WAY ='R':
          On entry, details of the interchanges and the block
          structure of D in the format used in ZSYTRF_RK
          ( or ZSYTRF_BK)\&.
          On exit, details of the interchanges and the block
          structure of D in the format used in ZSYTRF\&.
.fi
.PP
.br
\fIINFO\fP 
.PP
.nf
          INFO is INTEGER
          = 0:  successful exit
          < 0:  if INFO = -i, the i-th argument had an illegal value
.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
\fBContributors:\fP
.RS 4

.PP
.nf
  November 2017,  Igor Kozachenko,
                  Computer Science Division,
                  University of California, Berkeley
.fi
.PP
 
.RE
.PP

.PP
Definition at line \fB208\fP of file \fBzsyconvf\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.