TutorialInplaceLU.cpp File Reference

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Functions
int	main ()

Variables
init	init_obj

Function Documentation

main()

int main

(

)

Definition at line 9 of file TutorialInplaceLU.cpp.

{
  Eigen::MatrixXd A(2,2);
  A << 2, -1, 1, 3;
  std::cout << "Here is the input matrix A before decomposition:\n" << A << "\n";
  std::cout << "[init]\n";
 
  std::cout << "[declaration]\n";
  Eigen::PartialPivLU<Eigen::Ref<Eigen::MatrixXd> > lu(A);
  std::cout << "Here is the input matrix A after decomposition:\n" << A << "\n";
  std::cout << "[declaration]\n";
 
  std::cout << "[matrixLU]\n";
  std::cout << "Here is the matrix storing the L and U factors:\n" << lu.matrixLU() << "\n";
  std::cout << "[matrixLU]\n";
 
  std::cout << "[solve]\n";
  Eigen::MatrixXd A0(2,2); A0 << 2, -1, 1, 3;
  Eigen::VectorXd b(2);    b << 1, 2;
  Eigen::VectorXd x = lu.solve(b);
  std::cout << "Residual: " << (A0 * x - b).norm() << "\n";
  std::cout << "[solve]\n";
 
  std::cout << "[modifyA]\n";
  A << 3, 4, -2, 1;
  x = lu.solve(b);
  std::cout << "Residual: " << (A0 * x - b).norm() << "\n";
  std::cout << "[modifyA]\n";
 
  std::cout << "[recompute]\n";
  A0 = A; // save A
  lu.compute(A);
  x = lu.solve(b);
  std::cout << "Residual: " << (A0 * x - b).norm() << "\n";
  std::cout << "[recompute]\n";
 
  std::cout << "[recompute_bis0]\n";
  Eigen::MatrixXd A1(2,2);
  A1 << 5,-2,3,4;
  lu.compute(A1);
  std::cout << "Here is the input matrix A1 after decomposition:\n" << A1 << "\n";
  std::cout << "[recompute_bis0]\n";
 
  std::cout << "[recompute_bis1]\n";
  x = lu.solve(b);
  std::cout << "Residual: " << (A1 * x - b).norm() << "\n";
  std::cout << "[recompute_bis1]\n";
 
}

Variable Documentation

init_obj

init init_obj

Definition at line 5 of file TutorialInplaceLU.cpp.