.TH "SRC/zhetri_rook.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
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.SH NAME
SRC/zhetri_rook.f
.SH SYNOPSIS
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.SS "Functions/Subroutines"

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.ti -1c
.RI "subroutine \fBzhetri_rook\fP (uplo, n, a, lda, ipiv, work, info)"
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.RI "\fBZHETRI_ROOK\fP computes the inverse of HE matrix using the factorization obtained with the bounded Bunch-Kaufman ('rook') diagonal pivoting method\&. "
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.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zhetri_rook (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex*16, dimension( * ) work, integer info)"

.PP
\fBZHETRI_ROOK\fP computes the inverse of HE matrix using the factorization obtained with the bounded Bunch-Kaufman ('rook') diagonal pivoting method\&.  
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\fBPurpose:\fP
.RS 4

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.nf
 ZHETRI_ROOK computes the inverse of a complex Hermitian indefinite matrix
 A using the factorization A = U*D*U**H or A = L*D*L**H computed by
 ZHETRF_ROOK\&.
.fi
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.RE
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\fBParameters\fP
.RS 4
\fIUPLO\fP 
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.nf
          UPLO is CHARACTER*1
          Specifies whether the details of the factorization are stored
          as an upper or lower triangular matrix\&.
          = 'U':  Upper triangular, form is A = U*D*U**H;
          = 'L':  Lower triangular, form is A = L*D*L**H\&.
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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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          A is COMPLEX*16 array, dimension (LDA,N)
          On entry, the block diagonal matrix D and the multipliers
          used to obtain the factor U or L as computed by ZHETRF_ROOK\&.

          On exit, if INFO = 0, the (Hermitian) 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
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\fILDA\fP 
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          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
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\fIIPIV\fP 
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          IPIV is INTEGER array, dimension (N)
          Details of the interchanges and the block structure of D
          as determined by ZHETRF_ROOK\&.
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\fIWORK\fP 
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          WORK is COMPLEX*16 array, dimension (N)
.fi
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\fIINFO\fP 
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          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 
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Univ\&. of California Berkeley 
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Univ\&. of Colorado Denver 
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NAG Ltd\&. 
.RE
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\fBContributors:\fP
.RS 4

.PP
.nf
  November 2013,  Igor Kozachenko,
                  Computer Science Division,
                  University of California, Berkeley

  September 2007, Sven Hammarling, Nicholas J\&. Higham, Craig Lucas,
                  School of Mathematics,
                  University of Manchester
.fi
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.RE
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Definition at line \fB127\fP of file \fBzhetri_rook\&.f\fP\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.