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* redistribute this software in source and binary code form, provided |
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* that the following conditions are met: |
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* |
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* 1. Acknowledgement of the program authors must be made in any |
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* publication of scientific results based in part on use of the |
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* program. An acceptable form of acknowledgement is citation of |
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* the article in which the program was described (Matthew |
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* A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher |
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* J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented |
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* Parallel Simulation Engine for Molecular Dynamics," |
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* J. Comput. Chem. 26, pp. 252-271 (2005)) |
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* |
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* 2. Redistributions of source code must retain the above copyright |
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* 1. Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* |
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* 3. Redistributions in binary form must reproduce the above copyright |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in the |
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* documentation and/or other materials provided with the |
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* distribution. |
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* arising out of the use of or inability to use software, even if the |
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* University of Notre Dame has been advised of the possibility of |
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* such damages. |
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* |
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* SUPPORT OPEN SCIENCE! If you use OpenMD or its source code in your |
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* research, please cite the appropriate papers when you publish your |
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* work. Good starting points are: |
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* |
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* [1] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005). |
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* [2] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006). |
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* [3] Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008). |
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* [4] Kuang & Gezelter, J. Chem. Phys. 133, 164101 (2010). |
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* [5] Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011). |
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*/ |
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|
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/*========================================================================= |
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#include "utils/NumericConstant.hpp" |
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|
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namespace oopse { |
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namespace OpenMD { |
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|
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/** |
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* Invert input square matrix A into matrix AI. |
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// |
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index[j] = maxI; |
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|
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if ( fabs(A(j, j)) <= oopse::NumericConstant::epsilon ) { |
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if ( fabs(A(j, j)) <= OpenMD::NumericConstant::epsilon ) { |
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//vtkGenericWarningMacro(<<"Unable to factor linear system"); |
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return false; |
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} |
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* lower triangular matrix and U is upper triangular matrix. |
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* @param A input square matrix |
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* @param index pivot indices |
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* @param x vector |
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* @param size size of the matrix and temporary arrays |
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* @param tmpSize temporary array |
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* @return true if inverse is computed, otherwise return false |
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* @note A=LU and index[] are generated from method LUFactorLinearSystem). |
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* Also, solution vector is written directly over input load vector. |