upperbidiagonalization.cpp File Reference

#include "main.h"
#include <Eigen/SVD>

Functions
template<typename MatrixType >
void	upperbidiag (const MatrixType &m)
	EIGEN_DECLARE_TEST (upperbidiagonalization)

Function Documentation

EIGEN_DECLARE_TEST()

EIGEN_DECLARE_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(Matrix<std::complex<double>, Dynamic, Dynamic, RowMajor>(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>()));
  }
}

References CALL_SUBTEST_1, CALL_SUBTEST_2, CALL_SUBTEST_3, CALL_SUBTEST_4, CALL_SUBTEST_5, CALL_SUBTEST_6, CALL_SUBTEST_7, Eigen::Dynamic, Eigen::g_repeat, i, Eigen::RowMajor, and upperbidiag().

upperbidiag()

template<typename MatrixType >

void upperbidiag

(

const MatrixType &

m

)

                                      {
  const Index rows = m.rows();
  const 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);
}

References a, b, calibrate::c, cols, m, rows, and VERIFY_IS_APPROX.

Referenced by EIGEN_DECLARE_TEST().