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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
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- SUBROUTINE ZPOEQU( N, A, LDA, S, SCOND, AMAX, INFO )
-*
-* -- LAPACK routine (version 3.2) --
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
-*
-* .. Scalar Arguments ..
- INTEGER INFO, LDA, N
- DOUBLE PRECISION AMAX, SCOND
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION S( * )
- COMPLEX*16 A( LDA, * )
-* ..
-*
+*> \brief \b ZPOEQU
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE ZPOEQU( N, A, LDA, S, SCOND, AMAX, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, LDA, N
+* DOUBLE PRECISION AMAX, SCOND
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION S( * )
+* COMPLEX*16 A( LDA, * )
+* ..
+*
* Purpose
* =======
*
-* ZPOEQU computes row and column scalings intended to equilibrate a
-* Hermitian positive definite matrix A and reduce its condition number
-* (with respect to the two-norm). S contains the scale factors,
-* S(i) = 1/sqrt(A(i,i)), chosen so that the scaled matrix B with
-* elements B(i,j) = S(i)*A(i,j)*S(j) has ones on the diagonal. This
-* choice of S puts the condition number of B within a factor N of the
-* smallest possible condition number over all possible diagonal
-* scalings.
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> ZPOEQU computes row and column scalings intended to equilibrate a
+*> Hermitian positive definite matrix A and reduce its condition number
+*> (with respect to the two-norm). S contains the scale factors,
+*> S(i) = 1/sqrt(A(i,i)), chosen so that the scaled matrix B with
+*> elements B(i,j) = S(i)*A(i,j)*S(j) has ones on the diagonal. This
+*> choice of S puts the condition number of B within a factor N of the
+*> smallest possible condition number over all possible diagonal
+*> scalings.
+*>
+*>\endverbatim
*
* Arguments
* =========
*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is COMPLEX*16 array, dimension (LDA,N)
+*> The N-by-N Hermitian positive definite matrix whose scaling
+*> factors are to be computed. Only the diagonal elements of A
+*> are referenced.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[out] S
+*> \verbatim
+*> S is DOUBLE PRECISION array, dimension (N)
+*> If INFO = 0, S contains the scale factors for A.
+*> \endverbatim
+*>
+*> \param[out] SCOND
+*> \verbatim
+*> SCOND is DOUBLE PRECISION
+*> If INFO = 0, S contains the ratio of the smallest S(i) to
+*> the largest S(i). If SCOND >= 0.1 and AMAX is neither too
+*> large nor too small, it is not worth scaling by S.
+*> \endverbatim
+*>
+*> \param[out] AMAX
+*> \verbatim
+*> AMAX is DOUBLE PRECISION
+*> Absolute value of largest matrix element. If AMAX is very
+*> close to overflow or very close to underflow, the matrix
+*> should be scaled.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> > 0: if INFO = i, the i-th diagonal element is nonpositive.
+*> \endverbatim
+*>
+*
+* Authors
+* =======
*
-* A (input) COMPLEX*16 array, dimension (LDA,N)
-* The N-by-N Hermitian positive definite matrix whose scaling
-* factors are to be computed. Only the diagonal elements of A
-* are referenced.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
+*> \date November 2011
*
-* S (output) DOUBLE PRECISION array, dimension (N)
-* If INFO = 0, S contains the scale factors for A.
+*> \ingroup complex16POcomputational
*
-* SCOND (output) DOUBLE PRECISION
-* If INFO = 0, S contains the ratio of the smallest S(i) to
-* the largest S(i). If SCOND >= 0.1 and AMAX is neither too
-* large nor too small, it is not worth scaling by S.
+* =====================================================================
+ SUBROUTINE ZPOEQU( N, A, LDA, S, SCOND, AMAX, INFO )
*
-* AMAX (output) DOUBLE PRECISION
-* Absolute value of largest matrix element. If AMAX is very
-* close to overflow or very close to underflow, the matrix
-* should be scaled.
+* -- LAPACK computational routine (version 3.2) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-* > 0: if INFO = i, the i-th diagonal element is nonpositive.
+* .. Scalar Arguments ..
+ INTEGER INFO, LDA, N
+ DOUBLE PRECISION AMAX, SCOND
+* ..
+* .. Array Arguments ..
+ DOUBLE PRECISION S( * )
+ COMPLEX*16 A( LDA, * )
+* ..
*
* =====================================================================
*