=begin == Complex LU decomposition --- GSL::Linalg::Complex::LU_decomp!(A) --- GSL::Linalg::Complex::LU::decomp!(A) --- GSL::Matrix::Complex#LU_decomp! --- GSL::Matrix::Complex#LU_decomp! Factorizes the square matrix ((|A|)) into the LU decomposition PA = LU, and returns an array, ((|[perm, signum]|)). ((|A|)) is changed. --- GSL::Linalg::Complex::LU_decomp(A) --- GSL::Linalg::Complex::LU::decomp(A) --- GSL::Matrix::Complex#LU_decomp Factorizes the square matrix ((|A|)) into the LU decomposition PA = LU, and returns an array, ((|[LU, perm, signum]|)). ((|A|)) is not changed. --- GSL::Linalg::Complex::LU_solve(A, b) --- GSL::Linalg::Complex::LU::solve(A, b) --- GSL::Linalg::Complex::LU_solve(A, b) --- GSL::Matrix::Complex#LU_solve(b) --- GSL::Linalg::Complex::solve(LU, perm, b) --- GSL::Linalg::Complex::LU::solve(LU, perm, b) --- GSL::Linalg::Complex::LU::LUMatirx#solve(perm, b) --- GSL::Linalg::Complex::LU_svx(A, x) --- GSL::Linalg::Complex::LU::svx(A, x) --- GSL::Linalg::Complex::LU_svx(A, x) --- GSL::Matrix::Complex#LU_svx(x) --- GSL::Linalg::Complex::svx(LU, perm, x) --- GSL::Linalg::Complex::LU::svx(LU, perm, x) --- GSL::Linalg::Complex::LU::LUMatirx#svx(perm, x) --- GSL::Linalg::Complex::LU_refine(A, LU, perm, b, x) --- GSL::Linalg::Complex::LU_::refine(A, LU, perm, b, x) --- GSL::Linalg::Complex::LU_invert(A) --- GSL::Linalg::Complex::LU::invert(A) --- GSL::Linalg::Complex::LU_invert(LU, perm) --- GSL::Linalg::Complex::LU::invert(LU, perm) --- GSL::Matrix::Complex#LU_invert --- GSL::Matrix::Complex#invert --- GSL::Linalg::Complex::LU::LUMatrix#invert(perm) --- GSL::Linalg::Complex::LU_det(A) --- GSL::Linalg::Complex::LU::det(A) --- GSL::Linalg::Complex::LU_det(LU, signum) --- GSL::Linalg::Complex::LU::det(LU, signum) --- GSL::Matrix::Complex#LU_det --- GSL::Matrix::Complex#det --- GSL::Linalg::Complex::LU::LUMatrix#det(signum) --- GSL::Linalg::Complex::LU_lndet(A) --- GSL::Linalg::Complex::LU::lndet(A) --- GSL::Linalg::Complex::LU_lndet(LU) --- GSL::Linalg::Complex::LU::lndet(LU) --- GSL::Matrix::Complex#LU_lndet --- GSL::Matrix::Complex#lndet --- GSL::Linalg::Complex::LU::LUMatrix#lndet --- GSL::Linalg::Complex::LU_sgndet(A) --- GSL::Linalg::Complex::LU::sgndet(A) --- GSL::Linalg::Complex::LU_sgndet(LU, signum) --- GSL::Linalg::Complex::LU::sgndet(LU, signum) --- GSL::Matrix::Complex#LU_sgndet --- GSL::Matrix::Complex#sgndet --- GSL::Linalg::Complex::LU::LUMatrix#sgndet(signum) (()) =end