SingleMatrix 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.SinglePrecision.Net40 (in Extreme.Numerics.SinglePrecision.Net40.dll) Version: 4.0.10170.0 (4.0.11003.0)

Syntax

C#
public abstract class SingleMatrix : SingleLinearTransformation, IFormattable, IEquatable<SingleMatrix>

Visual Basic (Declaration)
Public MustInherit Class SingleMatrix _ Inherits SingleLinearTransformation _ Implements IFormattable, IEquatable(Of SingleMatrix)

Visual C++
public ref class SingleMatrix abstract : public SingleLinearTransformation, IFormattable, IEquatable<SingleMatrix^>

F#
[<AbstractClassAttribute>] type SingleMatrix = class inherit SingleLinearTransformation interface IFormattable interface IEquatable<SingleMatrix> end

Remarks

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

The SingleMatrix 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 SingleMatrix 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
SingleDenseMatrix	Represents a general, dense, square or rectangular matrix.
SingleTriangularMatrix	Represents an upper or lower-triangular matrix, a matrix whose elements below or above the main diagonal are zero.
SingleSymmetricMatrix	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 SingleMatrix.

SingleMatrix provides an indexer property. For convenient access to the rows or columns of a SingleMatrix 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 symmetric matrices, the CholeskyDecomposition is available.

Inheritance Hierarchy

Syntax

Remarks

Inheritance Hierarchy

See Also