ComplexMatrixTranspose Method

Returns the transpose of this instance.

Definition

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

Return Value

ComplexMatrix
The transpose of this instance.

Remarks

Let LaTeX equation and LaTeX equation be the number of rows and columns, respectively, of this instance, and consider its generic entry

LaTeX equation

The method returns the transpose of this instance, i.e. a matrix, say LaTeX equation, having LaTeX equation rows and LaTeX equation columns, whose generic entry is:

LaTeX equation

Example

In the following example, the transpose of a matrix is computed.

C#
using System;
using System.Numerics;

namespace Novacta.Analytics.CodeExamples
{
    public class ComplexOutPlaceTransposeExample0  
    {
        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("The data matrix:");
            Console.WriteLine(matrix);

            // Return its transpose.
            var transposedMatrix = matrix.Transpose();

            Console.WriteLine();
            Console.WriteLine("Matrix transpose:");
            Console.WriteLine(transposedMatrix);

            // Compute the transpose using a read-only wrapper of the data matrix.
            ReadOnlyComplexMatrix readOnlyMatrix = matrix.AsReadOnly();
            var transposedReadOnlyMatrix = readOnlyMatrix.Transpose();

            Console.WriteLine();
            Console.WriteLine("Read only matrix transpose:");
            Console.WriteLine(transposedReadOnlyMatrix);
        }
    }
}

// Executing method Main() produces the following output:
// 
// The data matrix:
// (                1,               -1) (                5,               -5) 
// (                2,               -2) (                6,               -6) 
// (                3,               -3) (                7,               -7) 
// 
// 
// 
// Matrix transpose:
// (                1,               -1) (                2,               -2) (                3,               -3) 
// (                5,               -5) (                6,               -6) (                7,               -7) 
// 
// 
// 
// Read only matrix transpose:
// (                1,               -1) (                2,               -2) (                3,               -3) 
// (                5,               -5) (                6,               -6) (                7,               -7) 
// 
//

See Also