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diff --git a/eigen/test/upperbidiagonalization.cpp b/eigen/test/upperbidiagonalization.cpp
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+++ b/eigen/test/upperbidiagonalization.cpp
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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2010 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "main.h"
+#include <Eigen/SVD>
+
+template<typename MatrixType> void upperbidiag(const MatrixType& m)
+{
+  const typename MatrixType::Index rows = m.rows();
+  const typename MatrixType::Index cols = m.cols();
+
+  typedef Matrix<typename MatrixType::RealScalar, MatrixType::RowsAtCompileTime,  MatrixType::ColsAtCompileTime> RealMatrixType;
+  typedef Matrix<typename MatrixType::Scalar, MatrixType::ColsAtCompileTime,  MatrixType::RowsAtCompileTime> TransposeMatrixType;
+
+  MatrixType a = MatrixType::Random(rows,cols);
+  internal::UpperBidiagonalization<MatrixType> ubd(a);
+  RealMatrixType b(rows, cols);
+  b.setZero();
+  b.block(0,0,cols,cols) = ubd.bidiagonal();
+  MatrixType c = ubd.householderU() * b * ubd.householderV().adjoint();
+  VERIFY_IS_APPROX(a,c);
+  TransposeMatrixType d = ubd.householderV() * b.adjoint() * ubd.householderU().adjoint();
+  VERIFY_IS_APPROX(a.adjoint(),d);
+}
+
+void test_upperbidiagonalization()
+{
+  for(int i = 0; i < g_repeat; i++) {
+   CALL_SUBTEST_1( upperbidiag(MatrixXf(3,3)) );
+   CALL_SUBTEST_2( upperbidiag(MatrixXd(17,12)) );
+   CALL_SUBTEST_3( upperbidiag(MatrixXcf(20,20)) );
+   CALL_SUBTEST_4( upperbidiag(MatrixXcd(16,15)) );
+   CALL_SUBTEST_5( upperbidiag(Matrix<float,6,4>()) );
+   CALL_SUBTEST_6( upperbidiag(Matrix<float,5,5>()) );
+   CALL_SUBTEST_7( upperbidiag(Matrix<double,4,3>()) );
+  }
+}