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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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+*> \brief <b> SSPEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices</b>
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE SSPEV( JOBZ, UPLO, N, AP, W, Z, LDZ, WORK, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER JOBZ, UPLO
+* INTEGER INFO, LDZ, N
+* ..
+* .. Array Arguments ..
+* REAL AP( * ), W( * ), WORK( * ), Z( LDZ, * )
+* ..
+*
+* Purpose
+* =======
+*
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> SSPEV computes all the eigenvalues and, optionally, eigenvectors of a
+*> real symmetric matrix A in packed storage.
+*>
+*>\endverbatim
+*
+* Arguments
+* =========
+*
+*> \param[in] JOBZ
+*> \verbatim
+*> JOBZ is CHARACTER*1
+*> = 'N': Compute eigenvalues only;
+*> = 'V': Compute eigenvalues and eigenvectors.
+*> \endverbatim
+*>
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': Upper triangle of A is stored;
+*> = 'L': Lower triangle of A is stored.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] AP
+*> \verbatim
+*> AP is REAL array, dimension (N*(N+1)/2)
+*> On entry, the upper or lower triangle of the symmetric matrix
+*> A, packed columnwise in a linear array. The j-th column of A
+*> is stored in the array AP as follows:
+*> if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
+*> if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.
+*> \endverbatim
+*> \verbatim
+*> On exit, AP is overwritten by values generated during the
+*> reduction to tridiagonal form. If UPLO = 'U', the diagonal
+*> and first superdiagonal of the tridiagonal matrix T overwrite
+*> the corresponding elements of A, and if UPLO = 'L', the
+*> diagonal and first subdiagonal of T overwrite the
+*> corresponding elements of A.
+*> \endverbatim
+*>
+*> \param[out] W
+*> \verbatim
+*> W is REAL array, dimension (N)
+*> If INFO = 0, the eigenvalues in ascending order.
+*> \endverbatim
+*>
+*> \param[out] Z
+*> \verbatim
+*> Z is REAL array, dimension (LDZ, N)
+*> If JOBZ = 'V', then if INFO = 0, Z contains the orthonormal
+*> eigenvectors of the matrix A, with the i-th column of Z
+*> holding the eigenvector associated with W(i).
+*> If JOBZ = 'N', then Z is not referenced.
+*> \endverbatim
+*>
+*> \param[in] LDZ
+*> \verbatim
+*> LDZ is INTEGER
+*> The leading dimension of the array Z. LDZ >= 1, and if
+*> JOBZ = 'V', LDZ >= max(1,N).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is REAL array, dimension (3*N)
+*> \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 algorithm failed to converge; i
+*> off-diagonal elements of an intermediate tridiagonal
+*> form did not converge to zero.
+*> \endverbatim
+*>
+*
+* Authors
+* =======
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup realOTHEReigen
+*
+* =====================================================================
SUBROUTINE SSPEV( JOBZ, UPLO, N, AP, W, Z, LDZ, WORK, INFO )
*
-* -- LAPACK driver routine (version 3.2) --
+* -- LAPACK eigen 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
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER JOBZ, UPLO
@@ -13,62 +136,6 @@
REAL AP( * ), W( * ), WORK( * ), Z( LDZ, * )
* ..
*
-* Purpose
-* =======
-*
-* SSPEV computes all the eigenvalues and, optionally, eigenvectors of a
-* real symmetric matrix A in packed storage.
-*
-* Arguments
-* =========
-*
-* JOBZ (input) CHARACTER*1
-* = 'N': Compute eigenvalues only;
-* = 'V': Compute eigenvalues and eigenvectors.
-*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangle of A is stored;
-* = 'L': Lower triangle of A is stored.
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
-*
-* AP (input/output) REAL array, dimension (N*(N+1)/2)
-* On entry, the upper or lower triangle of the symmetric matrix
-* A, packed columnwise in a linear array. The j-th column of A
-* is stored in the array AP as follows:
-* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
-* if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.
-*
-* On exit, AP is overwritten by values generated during the
-* reduction to tridiagonal form. If UPLO = 'U', the diagonal
-* and first superdiagonal of the tridiagonal matrix T overwrite
-* the corresponding elements of A, and if UPLO = 'L', the
-* diagonal and first subdiagonal of T overwrite the
-* corresponding elements of A.
-*
-* W (output) REAL array, dimension (N)
-* If INFO = 0, the eigenvalues in ascending order.
-*
-* Z (output) REAL array, dimension (LDZ, N)
-* If JOBZ = 'V', then if INFO = 0, Z contains the orthonormal
-* eigenvectors of the matrix A, with the i-th column of Z
-* holding the eigenvector associated with W(i).
-* If JOBZ = 'N', then Z is not referenced.
-*
-* LDZ (input) INTEGER
-* The leading dimension of the array Z. LDZ >= 1, and if
-* JOBZ = 'V', LDZ >= max(1,N).
-*
-* WORK (workspace) REAL array, dimension (3*N)
-*
-* INFO (output) INTEGER
-* = 0: successful exit.
-* < 0: if INFO = -i, the i-th argument had an illegal value.
-* > 0: if INFO = i, the algorithm failed to converge; i
-* off-diagonal elements of an intermediate tridiagonal
-* form did not converge to zero.
-*
* =====================================================================
*
* .. Parameters ..