--- rpl/lapack/lapack/dspev.f 2010/12/21 13:53:37 1.7 +++ rpl/lapack/lapack/dspev.f 2011/11/21 20:43:03 1.8 @@ -1,9 +1,139 @@ +*> \brief DSPEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DSPEV + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DSPEV( JOBZ, UPLO, N, AP, W, Z, LDZ, WORK, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER JOBZ, UPLO +* INTEGER INFO, LDZ, N +* .. +* .. Array Arguments .. +* DOUBLE PRECISION AP( * ), W( * ), WORK( * ), Z( LDZ, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DSPEV 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 DOUBLE PRECISION 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. +*> \endverbatim +*> +*> \param[out] W +*> \verbatim +*> W is DOUBLE PRECISION array, dimension (N) +*> If INFO = 0, the eigenvalues in ascending order. +*> \endverbatim +*> +*> \param[out] Z +*> \verbatim +*> Z is DOUBLE PRECISION 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 DOUBLE PRECISION 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 doubleOTHEReigen +* +* ===================================================================== SUBROUTINE DSPEV( JOBZ, UPLO, N, AP, W, Z, LDZ, WORK, INFO ) * -* -- LAPACK driver routine (version 3.2) -- +* -- LAPACK driver routine (version 3.4.0) -- * -- 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 +143,6 @@ DOUBLE PRECISION AP( * ), W( * ), WORK( * ), Z( LDZ, * ) * .. * -* Purpose -* ======= -* -* DSPEV 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) DOUBLE PRECISION 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) DOUBLE PRECISION array, dimension (N) -* If INFO = 0, the eigenvalues in ascending order. -* -* Z (output) DOUBLE PRECISION 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) DOUBLE PRECISION 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 ..