ComplexMatrixInPlaceTranspose Method

Transposes this instance.

Definition

Namespace: Novacta.Analytics
Assembly: Novacta.Analytics (in Novacta.Analytics.dll) Version: 2.1.0+428f3840cfab98dda567bb0ed350b302533e273a
C#
public void InPlaceTranspose()

Remarks

Let LaTeX equation be a matrix, and consider its generic entry

LaTeX equation

where LaTeX equation and LaTeX equation are the number of rows and columns of LaTeX equation, respectively.

The transpose of LaTeX equation is the matrix LaTeX equation having LaTeX equation rows and LaTeX equation columns, whose generic entry is:

LaTeX equation

The method transforms this instance in its transpose.

Example

In the following example, a matrix is transposed.

C#
using System;
using System.Numerics;

namespace Novacta.Analytics.CodeExamples
{
    public class ComplexInPlaceTransposeExample0  
    {
        public void Main()
        {
            // Create a matrix.
            var data = new Complex[6] {
                new(1, -1), new(5, -5),
                new(2, -2), new(6, -6),
                new(3, -3), new(7, -7)
            };
            var matrix = ComplexMatrix.Dense(3, 2, data, StorageOrder.RowMajor);
            Console.WriteLine("Initial data matrix:");
            Console.WriteLine(matrix);

            // Transpose the matrix.
            matrix.InPlaceTranspose();

            Console.WriteLine();
            Console.WriteLine("Transposed data matrix:");
            Console.WriteLine(matrix);
        }
    }
}

// Executing method Main() produces the following output:
// 
// Initial data matrix:
// (                1,               -1) (                5,               -5) 
// (                2,               -2) (                6,               -6) 
// (                3,               -3) (                7,               -7) 
// 
// 
// 
// Transposed data matrix:
// (                1,               -1) (                2,               -2) (                3,               -3) 
// (                5,               -5) (                6,               -6) (                7,               -7) 
// 
//

See Also