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/*
* Copyright (c) 2011, Michael Lehn * * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1) Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2) Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * 3) Neither the name of the FLENS development group nor the names of * its contributors may be used to endorse or promote products derived * from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ /* Based on * SUBROUTINE DHSEQR( JOB, COMPZ, N, ILO, IHI, H, LDH, WR, WI, Z, $ LDZ, WORK, LWORK, INFO ) SUBROUTINE ZHSEQR( JOB, COMPZ, N, ILO, IHI, H, LDH, W, Z, LDZ, $ WORK, LWORK, INFO ) * * -- LAPACK computational routine (version 3.2.2) -- * Univ. of Tennessee, Univ. of California Berkeley, * Univ. of Colorado Denver and NAG Ltd.. * June 2010 */ #ifndef FLENS_LAPACK_IMPL_HSEQR_H #define FLENS_LAPACK_IMPL_HSEQR_H 1 #include <flens/lapack/typedefs.h> #include <flens/matrixtypes/matrixtypes.h> #include <flens/vectortypes/vectortypes.h> namespace flens { namespace lapack { namespace HSEQR { enum Job { Eigenvalues = 'E', // compute eigenvalues only Schur = 'S' // compute eigenvalues and the Schur form T }; enum ComputeZ { No = 'N', // no Schur vectors are computed; Init = 'I', // Z is initialized to the unit matrix and the matrix Z // of Schur vectors of H is returned; NoInit = 'V', // Z must contain an orthogonal matrix Q on entry, and // the product Q*Z is returned. }; } //== hseqr ===================================================================== // // Real variant // template <typename IndexType, typename MH, typename VWR, typename VWI, typename MZ, typename VWORK> typename RestrictTo<IsRealGeMatrix<MH>::value && IsRealDenseVector<VWR>::value && IsRealDenseVector<VWI>::value && IsRealGeMatrix<MZ>::value && IsRealDenseVector<VWORK>::value, IndexType>::Type hseqr(HSEQR::Job job, HSEQR::ComputeZ compZ, IndexType iLo, IndexType iHi, MH &&H, VWR &&wr, VWI &&wi, MZ &&Z, VWORK &&work); //== hseqr_wsq (worksize query) ================================================ // // Real variant // template <typename IndexType, typename MH> typename RestrictTo<IsRealGeMatrix<MH>::value, IndexType>::Type hseqr_wsq(HSEQR::Job job, HSEQR::ComputeZ computeZ, IndexType iLo, IndexType iHi, const MH &H); //== hseqr ===================================================================== // // Complex variant // template <typename IndexType, typename MH, typename VW, typename MZ, typename VWORK> typename RestrictTo<IsComplexGeMatrix<MH>::value && IsComplexDenseVector<VW>::value && IsComplexGeMatrix<MZ>::value && IsComplexDenseVector<VWORK>::value, IndexType>::Type hseqr(HSEQR::Job job, HSEQR::ComputeZ compZ, IndexType iLo, IndexType iHi, MH &&H, VW &&w, MZ &&Z, VWORK &&work); //== hseqr_wsq (worksize query) ================================================ // // Complex variant // template <typename IndexType, typename MH> typename RestrictTo<IsComplexGeMatrix<MH>::value, IndexType>::Type hseqr_wsq(HSEQR::Job job, HSEQR::ComputeZ computeZ, IndexType iLo, IndexType iHi, const MH &H); } } // namespace lapack, flens #endif // FLENS_LAPACK_IMPL_HSEQR_H |