.TH "SRC/zsytri_3x.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/zsytri_3x.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzsytri_3x\fP (uplo, n, a, lda, e, ipiv, work, nb, info)"
.br
.RI "\fBZSYTRI_3X\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zsytri_3x (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) e, integer, dimension( * ) ipiv, complex*16, dimension( n+nb+1, * ) work, integer nb, integer info)"

.PP
\fBZSYTRI_3X\fP  
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\fBPurpose:\fP
.RS 4

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.nf
 ZSYTRI_3X computes the inverse of a complex symmetric indefinite
 matrix A using the factorization computed by ZSYTRF_RK or ZSYTRF_BK:

     A = P*U*D*(U**T)*(P**T) or A = P*L*D*(L**T)*(P**T),

 where U (or L) is unit upper (or lower) triangular matrix,
 U**T (or L**T) is the transpose of U (or L), P is a permutation
 matrix, P**T is the transpose of P, and D is symmetric and block
 diagonal with 1-by-1 and 2-by-2 diagonal blocks\&.

 This is the blocked version of the algorithm, calling Level 3 BLAS\&.
.fi
.PP
 
.RE
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\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\&.
          = 'U':  Upper triangle of A is stored;
          = 'L':  Lower triangle of A is stored\&.
.fi
.PP
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\fIN\fP 
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          N is INTEGER
          The order of the matrix A\&.  N >= 0\&.
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\fIA\fP 
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.nf
          A is COMPLEX*16 array, dimension (LDA,N)
          On entry, diagonal of the block diagonal matrix D and
          factors U or L as computed by ZSYTRF_RK and 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
                should be provided on entry 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, if INFO = 0, the symmetric inverse of the original
          matrix\&.
             If UPLO = 'U': the upper triangular part of the inverse
             is formed and the part of A below the diagonal is not
             referenced;
             If UPLO = 'L': the lower triangular part of the inverse
             is formed and the part of A above the diagonal is not
             referenced\&.
.fi
.PP
.br
\fILDA\fP 
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.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)
          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\&.

          NOTE: For 1-by-1 diagonal block D(k), where
          1 <= k <= N, the element E(k) is not referenced in both
          UPLO = 'U' or UPLO = 'L' cases\&.
.fi
.PP
.br
\fIIPIV\fP 
.PP
.nf
          IPIV is INTEGER array, dimension (N)
          Details of the interchanges and the block structure of D
          as determined by ZSYTRF_RK or ZSYTRF_BK\&.
.fi
.PP
.br
\fIWORK\fP 
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.nf
          WORK is COMPLEX*16 array, dimension (N+NB+1,NB+3)\&.
.fi
.PP
.br
\fINB\fP 
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.nf
          NB is INTEGER
          Block size\&.
.fi
.PP
.br
\fIINFO\fP 
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.nf
          INFO is INTEGER
          = 0: successful exit
          < 0: if INFO = -i, the i-th argument had an illegal value
          > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its
               inverse could not be computed\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
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NAG Ltd\&. 
.RE
.PP
\fBContributors:\fP
.RS 4

.PP
.nf
  June 2017,  Igor Kozachenko,
                  Computer Science Division,
                  University of California, Berkeley
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.RE
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Definition at line \fB158\fP of file \fBzsytri_3x\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.