zgerq2 function

Implementation

void zgerq2(
  final int M,
  final int N,
  final Matrix<Complex> A_,
  final int LDA,
  final Array<Complex> TAU_,
  final Array<Complex> WORK_,
  final Box<int> INFO,
) {
  final A = A_.having(ld: LDA);
  final TAU = TAU_.having();
  final WORK = WORK_.having();
  int I, K;
  final ALPHA = Box(Complex.zero);

  // Test the input arguments

  INFO.value = 0;
  if (M < 0) {
    INFO.value = -1;
  } else if (N < 0) {
    INFO.value = -2;
  } else if (LDA < max(1, M)) {
    INFO.value = -4;
  }
  if (INFO.value != 0) {
    xerbla('ZGERQ2', -INFO.value);
    return;
  }

  K = min(M, N);

  for (I = K; I >= 1; I--) {
    // Generate elementary reflector H(i) to annihilate
    // A(m-k+i,1:n-k+i-1)

    zlacgv(N - K + I, A(M - K + I, 1).asArray(), LDA);
    ALPHA.value = A[M - K + I][N - K + I];
    zlarfg(N - K + I, ALPHA, A(M - K + I, 1).asArray(), LDA, TAU(I));

    // Apply H(i) to A(1:m-k+i-1,1:n-k+i) from the right

    A[M - K + I][N - K + I] = Complex.one;
    zlarf('Right', M - K + I - 1, N - K + I, A(M - K + I, 1).asArray(), LDA,
        TAU[I], A, LDA, WORK);
    A[M - K + I][N - K + I] = ALPHA.value;
    zlacgv(N - K + I - 1, A(M - K + I, 1).asArray(), LDA);
  }
}