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Brian Silverman72890c22015-09-19 14:37:37 -04001typedef Matrix<double, 5, 3> Matrix5x3;
2typedef Matrix<double, 5, 5> Matrix5x5;
3Matrix5x3 m = Matrix5x3::Random();
4cout << "Here is the matrix m:" << endl << m << endl;
5Eigen::FullPivLU<Matrix5x3> lu(m);
6cout << "Here is, up to permutations, its LU decomposition matrix:"
7 << endl << lu.matrixLU() << endl;
8cout << "Here is the L part:" << endl;
9Matrix5x5 l = Matrix5x5::Identity();
10l.block<5,3>(0,0).triangularView<StrictlyLower>() = lu.matrixLU();
11cout << l << endl;
12cout << "Here is the U part:" << endl;
13Matrix5x3 u = lu.matrixLU().triangularView<Upper>();
14cout << u << endl;
15cout << "Let us now reconstruct the original matrix m:" << endl;
16cout << lu.permutationP().inverse() * l * u * lu.permutationQ().inverse() << endl;