/// <summary> /// Run example /// </summary> /// <seealso cref="http://en.wikipedia.org/wiki/Matrix_norm">Matrix norm</seealso> public void Run() { // Format matrix output to console var formatProvider = (CultureInfo)CultureInfo.InvariantCulture.Clone(); formatProvider.TextInfo.ListSeparator = " "; // Create square matrix var matrix = new DenseMatrix(new[,] { { 1.0, 2.0, 3.0 }, { 6.0, 5.0, 4.0 }, { 8.0, 9.0, 7.0 } }); Console.WriteLine(@"Initial square matrix"); Console.WriteLine(matrix.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 1. 1-norm of the matrix Console.WriteLine(@"1. 1-norm of the matrix"); Console.WriteLine(matrix.L1Norm()); Console.WriteLine(); // 2. 2-norm of the matrix Console.WriteLine(@"2. 2-norm of the matrix"); Console.WriteLine(matrix.L2Norm()); Console.WriteLine(); // 3. Frobenius norm of the matrix Console.WriteLine(@"3. Frobenius norm of the matrix"); Console.WriteLine(matrix.FrobeniusNorm()); Console.WriteLine(); // 4. Infinity norm of the matrix Console.WriteLine(@"4. Infinity norm of the matrix"); Console.WriteLine(matrix.InfinityNorm()); Console.WriteLine(); // 5. Normalize matrix columns Console.WriteLine(@"5. Normalize matrix columns: before normalize"); foreach (var keyValuePair in matrix.ColumnEnumerator()) { Console.WriteLine(@"Column {0} 2-nd norm is: {1}", keyValuePair.Item1, keyValuePair.Item2.Norm(2)); } Console.WriteLine(); var normalized = matrix.NormalizeColumns(2); Console.WriteLine(@"5. Normalize matrix columns: after normalize"); foreach (var keyValuePair in normalized.ColumnEnumerator()) { Console.WriteLine(@"Column {0} 2-nd norm is: {1}", keyValuePair.Item1, keyValuePair.Item2.Norm(2)); } Console.WriteLine(); // 6. Normalize matrix columns Console.WriteLine(@"6. Normalize matrix rows: before normalize"); foreach (var keyValuePair in matrix.RowEnumerator()) { Console.WriteLine(@"Row {0} 2-nd norm is: {1}", keyValuePair.Item1, keyValuePair.Item2.Norm(2)); } Console.WriteLine(); normalized = matrix.NormalizeRows(2); Console.WriteLine(@"6. Normalize matrix rows: after normalize"); foreach (var keyValuePair in normalized.RowEnumerator()) { Console.WriteLine(@"Row {0} 2-nd norm is: {1}", keyValuePair.Item1, keyValuePair.Item2.Norm(2)); } }