--- rpl/lapack/lapack/zhpgst.f 2011/07/22 07:38:15 1.8 +++ rpl/lapack/lapack/zhpgst.f 2011/11/21 20:43:12 1.9 @@ -1,9 +1,122 @@ +*> \brief \b ZHPGST +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZHPGST + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZHPGST( ITYPE, UPLO, N, AP, BP, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER INFO, ITYPE, N +* .. +* .. Array Arguments .. +* COMPLEX*16 AP( * ), BP( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZHPGST reduces a complex Hermitian-definite generalized +*> eigenproblem to standard form, using packed storage. +*> +*> If ITYPE = 1, the problem is A*x = lambda*B*x, +*> and A is overwritten by inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H) +*> +*> If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or +*> B*A*x = lambda*x, and A is overwritten by U*A*U**H or L**H*A*L. +*> +*> B must have been previously factorized as U**H*U or L*L**H by ZPPTRF. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] ITYPE +*> \verbatim +*> ITYPE is INTEGER +*> = 1: compute inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H); +*> = 2 or 3: compute U*A*U**H or L**H*A*L. +*> \endverbatim +*> +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> = 'U': Upper triangle of A is stored and B is factored as +*> U**H*U; +*> = 'L': Lower triangle of A is stored and B is factored as +*> L*L**H. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrices A and B. N >= 0. +*> \endverbatim +*> +*> \param[in,out] AP +*> \verbatim +*> AP is COMPLEX*16 array, dimension (N*(N+1)/2) +*> On entry, the upper or lower triangle of the Hermitian 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)*(2n-j)/2) = A(i,j) for j<=i<=n. +*> +*> On exit, if INFO = 0, the transformed matrix, stored in the +*> same format as A. +*> \endverbatim +*> +*> \param[in] BP +*> \verbatim +*> BP is COMPLEX*16 array, dimension (N*(N+1)/2) +*> The triangular factor from the Cholesky factorization of B, +*> stored in the same format as A, as returned by ZPPTRF. +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument had an illegal value +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERcomputational +* +* ===================================================================== SUBROUTINE ZHPGST( ITYPE, UPLO, N, AP, BP, INFO ) * -* -- LAPACK routine (version 3.3.1) -- +* -- LAPACK computational 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..-- -* -- April 2011 -- +* November 2011 * * .. Scalar Arguments .. CHARACTER UPLO @@ -13,54 +126,6 @@ COMPLEX*16 AP( * ), BP( * ) * .. * -* Purpose -* ======= -* -* ZHPGST reduces a complex Hermitian-definite generalized -* eigenproblem to standard form, using packed storage. -* -* If ITYPE = 1, the problem is A*x = lambda*B*x, -* and A is overwritten by inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H) -* -* If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or -* B*A*x = lambda*x, and A is overwritten by U*A*U**H or L**H*A*L. -* -* B must have been previously factorized as U**H*U or L*L**H by ZPPTRF. -* -* Arguments -* ========= -* -* ITYPE (input) INTEGER -* = 1: compute inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H); -* = 2 or 3: compute U*A*U**H or L**H*A*L. -* -* UPLO (input) CHARACTER*1 -* = 'U': Upper triangle of A is stored and B is factored as -* U**H*U; -* = 'L': Lower triangle of A is stored and B is factored as -* L*L**H. -* -* N (input) INTEGER -* The order of the matrices A and B. N >= 0. -* -* AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2) -* On entry, the upper or lower triangle of the Hermitian 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)*(2n-j)/2) = A(i,j) for j<=i<=n. -* -* On exit, if INFO = 0, the transformed matrix, stored in the -* same format as A. -* -* BP (input) COMPLEX*16 array, dimension (N*(N+1)/2) -* The triangular factor from the Cholesky factorization of B, -* stored in the same format as A, as returned by ZPPTRF. -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* * ===================================================================== * * .. Parameters ..