| 1 |
/* |
| 2 |
* Copyright (c) 2005 The University of Notre Dame. All Rights Reserved. |
| 3 |
* |
| 4 |
* The University of Notre Dame grants you ("Licensee") a |
| 5 |
* non-exclusive, royalty free, license to use, modify and |
| 6 |
* redistribute this software in source and binary code form, provided |
| 7 |
* that the following conditions are met: |
| 8 |
* |
| 9 |
* 1. Acknowledgement of the program authors must be made in any |
| 10 |
* publication of scientific results based in part on use of the |
| 11 |
* program. An acceptable form of acknowledgement is citation of |
| 12 |
* the article in which the program was described (Matthew |
| 13 |
* A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher |
| 14 |
* J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented |
| 15 |
* Parallel Simulation Engine for Molecular Dynamics," |
| 16 |
* J. Comput. Chem. 26, pp. 252-271 (2005)) |
| 17 |
* |
| 18 |
* 2. Redistributions of source code must retain the above copyright |
| 19 |
* notice, this list of conditions and the following disclaimer. |
| 20 |
* |
| 21 |
* 3. Redistributions in binary form must reproduce the above copyright |
| 22 |
* notice, this list of conditions and the following disclaimer in the |
| 23 |
* documentation and/or other materials provided with the |
| 24 |
* distribution. |
| 25 |
* |
| 26 |
* This software is provided "AS IS," without a warranty of any |
| 27 |
* kind. All express or implied conditions, representations and |
| 28 |
* warranties, including any implied warranty of merchantability, |
| 29 |
* fitness for a particular purpose or non-infringement, are hereby |
| 30 |
* excluded. The University of Notre Dame and its licensors shall not |
| 31 |
* be liable for any damages suffered by licensee as a result of |
| 32 |
* using, modifying or distributing the software or its |
| 33 |
* derivatives. In no event will the University of Notre Dame or its |
| 34 |
* licensors be liable for any lost revenue, profit or data, or for |
| 35 |
* direct, indirect, special, consequential, incidental or punitive |
| 36 |
* damages, however caused and regardless of the theory of liability, |
| 37 |
* arising out of the use of or inability to use software, even if the |
| 38 |
* University of Notre Dame has been advised of the possibility of |
| 39 |
* such damages. |
| 40 |
*/ |
| 41 |
#ifndef MATH_CHOLESKYDECOMPOSITION_HPP |
| 42 |
#define MATH_CHOLESKYDECOMPOSITION_HPP |
| 43 |
|
| 44 |
namespace oopse { |
| 45 |
template<class MatrixType> |
| 46 |
int CholeskyDecomposition(MatrixType& A, MatrixType& L) { |
| 47 |
int n = A.getNRow(); |
| 48 |
assert(n == A.getNCol() && n == L.getNRow()&& n==L.getNCol()); |
| 49 |
for(int i = 0; i < n; ++i) { |
| 50 |
RealType sum1 = 0; |
| 51 |
for (int k = 0; k < i -1; ++k) { |
| 52 |
sum1 +=L(i,k)*L(i,k); |
| 53 |
} |
| 54 |
L(i, i) = sqrt(A(i, i) - sum1); |
| 55 |
for (int j = i+1; j < n; ++j) { |
| 56 |
RealType sum2 = 0; |
| 57 |
for (int k = 0; k < i-1; ++k) { |
| 58 |
sum2 += L(j ,k)*L(i, k); |
| 59 |
} |
| 60 |
L(j, i) = (A(j, i) - sum2) /L(i,i); |
| 61 |
} |
| 62 |
} |
| 63 |
|
| 64 |
return 0; |
| 65 |
|
| 66 |
} |
| 67 |
|
| 68 |
|
| 69 |
} |
| 70 |
|
| 71 |
#endif |
