/// <summary> /// Generate column from initial matrix to work array /// </summary> /// <param name="a">Initial matrix</param> /// <param name="row">The first row</param> /// <param name="column">Column index</param> /// <returns>Generated vector</returns> private static Complex[] GenerateColumn(Matrix<Complex> a, int row, int column) { var ru = a.RowCount - row; var u = new Complex[ru]; for (var i = row; i < a.RowCount; i++) { u[i - row] = a.At(i, column); a.At(i, column, 0.0); } var norm = u.Aggregate(Complex.Zero, (current, t) => current + (t.Magnitude * t.Magnitude)); norm = norm.SquareRoot(); if (row == a.RowCount - 1 || norm.Magnitude == 0) { a.At(row, column, -u[0]); u[0] = Math.Sqrt(2.0); return u; } if (u[0].Magnitude != 0.0) { norm = norm.Magnitude * (u[0] / u[0].Magnitude); } a.At(row, column, -norm); for (var i = 0; i < ru; i++) { u[i] /= norm; } u[0] += 1.0; var s = (1.0 / u[0]).SquareRoot(); for (var i = 0; i < ru; i++) { u[i] = u[i].Conjugate() * s; } return u; }