.TH "zhecon_rook.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*-
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.SH NAME
zhecon_rook.f \- 
.SH SYNOPSIS
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.SS "Functions/Subroutines"

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.ti -1c
.RI "subroutine \fBzhecon_rook\fP (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO)"
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.RI "\fI\fBZHECON_ROOK\fP estimates the reciprocal of the condition number fort HE matrices using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges) \fP"
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.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zhecon_rook (characterUPLO, integerN, complex*16, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, double precisionANORM, double precisionRCOND, complex*16, dimension( * )WORK, integerINFO)"

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\fBZHECON_ROOK\fP estimates the reciprocal of the condition number fort HE matrices using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges)  
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\fBPurpose: \fP
.RS 4

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.nf
 ZHECON_ROOK estimates the reciprocal of the condition number of a complex
 Hermitian matrix A using the factorization A = U*D*U**H or
 A = L*D*L**H computed by CHETRF_ROOK.

 An estimate is obtained for norm(inv(A)), and the reciprocal of the
 condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
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.RE
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\fBParameters:\fP
.RS 4
\fIUPLO\fP 
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          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)
          The block diagonal matrix D and the multipliers used to
          obtain the factor U or L as computed by CHETRF_ROOK.
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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 CHETRF_ROOK.
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\fIANORM\fP 
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          ANORM is DOUBLE PRECISION
          The 1-norm of the original matrix A.
.fi
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\fIRCOND\fP 
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          RCOND is DOUBLE PRECISION
          The reciprocal of the condition number of the matrix A,
          computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
          estimate of the 1-norm of inv(A) computed in this routine.
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\fIWORK\fP 
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          WORK is COMPLEX*16 array, dimension (2*N)
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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
.fi
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.RE
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\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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\fBDate:\fP
.RS 4
November 2013 
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\fBContributors: \fP
.RS 4

.RE
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November 2013, Igor Kozachenko, Computer Science Division, University of California, Berkeley
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September 2007, Sven Hammarling, Nicholas J\&. Higham, Craig Lucas, School of Mathematics, University of Manchester
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Definition at line 139 of file zhecon_rook\&.f\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.