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Vector and Matrix Library User's Guide

The Extreme Optimization Numerical Libraries for .NET contains an extensive set of classes for vector and matrix calculations. Classes are provided for real and complex matrices. Many specialized matrix and vector types are provided, including sparse vectors and matrices.

The code uses the Basic Linear Algebra Subroutines (BLAS) at its core. Two implementations are provided. One is written in 100% managed code, and is suitable for smaller problems and in situations where portability is of the essence. The second implementation is a hand-optimized native implementation based on Intel's Math Kernel Library. This implementation is suitable for large problems where performance is crucial.

The classes in the Vector and Matrix Library of the Extreme Optimization Numerical Libraries for .NET are organized in a consistent namespace hierarchy rooted in the Extreme.Mathematics.LinearAlgebra namespace. The structure of the namespaces is as follows:

Namespace

Description

Extreme.Mathematics.LinearAlgebra

Contains support classes, exceptions and enumerations, as well as classes for double precision real vectors and matrices.

Extreme.Mathematics.LinearAlgebra.Complex

Contains classes for complex vectors and matrices.

Extreme.Mathematics.LinearAlgebra.IO

Contains classes for reading and writing matrices in a variety of standard formats.

Extreme.Mathematics.LinearAlgebra.Providers

Contains classes that define and implement the low level BLAS and LAPACK interfaces.

Extreme.Mathematics.Generic.LinearAlgebra

Contains classes for generic linear algebra using arbitrary element types.

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