📄 mx_solve.h
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// Copyright (C) 2003 Zbigniew Leyk (zbigniew.leyk@anu.edu.au)
// and David E. Stewart (david.stewart@anu.edu.au)
// and Ronan Collobert (collober@idiap.ch)
//
// This file is part of Torch 3.
//
// 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. The name of the author may not be used to endorse or promote products
// derived from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``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 AUTHOR 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.
#ifndef MX_SOLVE_INC
#define MX_SOLVE_INC
#include "Mat.h"
#include "Vec.h"
namespace Torch {
/* Collection of factorisations functions.
Based on the "Meschach Library", available at the
anonymous ftp site thrain.anu.edu.au in the directory
pub/meschach.
@author David E. Stewart (david.stewart@anu.edu.au)
@author Zbigniew Leyk (zbigniew.leyk@anu.edu.au)
@author Ronan Collobert (collober@idiap.ch)
*/
/* Back substitution with optional over-riding diagonal.
Can be in-situ but doesn't need to be. */
void mxUSolve(Mat * matrix, Vec * b, Vec * out, real diag);
// Forward elimination with (optional) default diagonal value.
void mxLSolve(Mat * matrix, Vec * b, Vec * out, real diag);
/* Forward elimination with (optional) default diagonal value.
Use UPPER triangular part of matrix. */
void mxUTSolve(Mat * mat, Vec * b, Vec * out, real diag);
/* Solves Dx=b where D is the diagonal of A.
May be in-situ. */
void mxDSolve(Mat * mat, Vec * b, Vec * x);
/* Back substitution with optional over-riding diagonal.
Use the LOWER triangular part of matrix.
Can be in-situ but doesn't need to be. */
void mxLTSolve(Mat * mat, Vec * b, Vec * out, real diag);
}
#endif
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