/// <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 Complex32[] GenerateColumn(Matrix <Complex32> a, int row, int column) { var ru = a.RowCount - row; var u = new Complex32[ru]; for (var i = row; i < a.RowCount; i++) { u[i - row] = a.At(i, column); a.At(i, column, 0.0f); } var norm = u.Aggregate(Complex32.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] = (float)Constants.Sqrt2; return(u); } if (u[0].Magnitude != 0.0f) { 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] += 1.0f; var s = (1.0f / u[0]).SquareRoot(); for (var i = 0; i < ru; i++) { u[i] = u[i].Conjugate() * s; } return(u); }
/// <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> static Complex32[] GenerateColumn(Matrix<Complex32> a, int row, int column) { var ru = a.RowCount - row; var u = new Complex32[ru]; for (var i = row; i < a.RowCount; i++) { u[i - row] = a.At(i, column); a.At(i, column, 0.0f); } var norm = u.Aggregate(Complex32.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] = (float) Constants.Sqrt2; return u; } if (u[0].Magnitude != 0.0f) { 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] += 1.0f; var s = (1.0f/u[0]).SquareRoot(); for (var i = 0; i < ru; i++) { u[i] = u[i].Conjugate()*s; } return u; }