ComplexMatrix Class

Introduction

Deployment Guide

Using Parallelism

Mathematics Library User's Guide

Vector and Matrix Library User's Guide

Statistics Library User's Guide

Reference

Represents a matrix, a two-dimensional array of real numbers.

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C#
public abstract class ComplexMatrix : ComplexLinearOperator, IFormattable, IShape2D, IStructuralEquatable

Visual Basic (Declaration)
Public MustInherit Class ComplexMatrix _ Inherits ComplexLinearOperator _ Implements IFormattable, IShape2D, IStructuralEquatable

Visual C++
public ref class ComplexMatrix abstract : public ComplexLinearOperator, IFormattable, IShape2D, IStructuralEquatable

F#
[<AbstractClassAttribute>] type ComplexMatrix = class inherit ComplexLinearOperator interface IFormattable interface IShape2D interface IStructuralEquatable end

Remarks

ComplexMatrix is the abstractMustInheritabstractabstract (MustInherit in Visual Basic) base class for representing real matrices, two-dimensional arrays of double-precision floating-point numbers. An application can perform operations on matrices using instances of the ComplexMatrix class, while descendant classes implement specialized algorithms for specific types of matrices.

The ComplexMatrix class provides methods and properties for all the common operations on matrices, including arithmetic operations, calculating norms and solving systems of simultaneous linear equations. Various methods allow you to access individual components as well as rows and columns and submatrices.

Since ComplexMatrix is an abstractMustInheritabstractabstract (MustInherit in Visual Basic) base class and cannot be instantiated directly. Instead, use one of its derived classes. These are:

Class	Description
ComplexDenseMatrix	Represents a general, dense, square or rectangular matrix.
ComplexTriangularMatrix	Represents an upper or lower-triangular matrix, a matrix whose elements below or above the main diagonal are zero.
ComplexHermitianMatrix	Represents a square matrix whose elements are symmetrical around the main diagonal.

Note that the specialized classes exploit certain structural properties to perform many calculations more quickly than the general algorithms implemented by ComplexMatrix.

ComplexMatrix provides an indexer property. For convenient access to the rows or columns of a ComplexMatrix or parts thereof, use the GetRow(Int32) and GetColumn(Int32) methods.

Overloaded versions of the major arithmetic operators are provided for languages that support them. For languages that don't support operator overloading, equivalent staticSharedstaticstatic (Shared in Visual Basic) methods are supplied.

Many matrix decompositions exist, serving a variety of purposes. Each of them has its own class. In this release the LU decomposition and the QR decomposition are supported. For positive-definite hermitian matrices, the ComplexCholeskyDecomposition is available.

Inheritance Hierarchy

Syntax

Remarks

Inheritance Hierarchy

See Also