From 6b4e215710dd5c12ad1fe8e820875674bdd849c8 Mon Sep 17 00:00:00 2001 From: Jitse Niesen Date: Sat, 7 May 2011 22:57:46 +0100 Subject: Implement matrix square root for complex matrices. I hope to implement the real case soon, but it's a bit more complicated due to the 2-by-2 blocks in the real Schur decomposition. --- unsupported/test/matrix_square_root.cpp | 46 +++++++++++++++++++++++++++++++++ 1 file changed, 46 insertions(+) create mode 100644 unsupported/test/matrix_square_root.cpp (limited to 'unsupported/test/matrix_square_root.cpp') diff --git a/unsupported/test/matrix_square_root.cpp b/unsupported/test/matrix_square_root.cpp new file mode 100644 index 000000000..cd2c6cfc4 --- /dev/null +++ b/unsupported/test/matrix_square_root.cpp @@ -0,0 +1,46 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2011 Jitse Niesen +// +// Eigen is free software; you can redistribute it and/or +// modify it under the terms of the GNU Lesser General Public +// License as published by the Free Software Foundation; either +// version 3 of the License, or (at your option) any later version. +// +// Alternatively, you can redistribute it and/or +// modify it under the terms of the GNU General Public License as +// published by the Free Software Foundation; either version 2 of +// the License, or (at your option) any later version. +// +// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY +// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS +// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public +// License and a copy of the GNU General Public License along with +// Eigen. If not, see . + +#include "main.h" +#include + +template +void testMatrixSqrt(const MatrixType& m) +{ + typedef typename MatrixType::Index Index; + const Index size = m.rows(); + MatrixType A = MatrixType::Random(size, size); + MatrixSquareRoot msr(A); + MatrixType S; + msr.compute(S); + VERIFY_IS_APPROX(S*S, A); +} + +void test_matrix_square_root() +{ + for (int i = 0; i < g_repeat; i++) { + CALL_SUBTEST_1(testMatrixSqrt(Matrix3cf())); + CALL_SUBTEST_2(testMatrixSqrt(MatrixXcd(12,12))); + } +} -- cgit v1.2.3