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Linear Algebra Module Reference Guide
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2.4 Factorization Classes

Factorization objects provide an alternate representation of a system of equations which can be used for solving the system, computing determinants, estimating a condition number, or computing an inverse. Factorizations are provided for the following types of systems: general dense, positive definite symmetric, general symmetric, positive definite Hermitian, general Hermitian, banded, positive definite banded, tridiagonal, and positive definite tridiagonal. The Factorization Classes are contained in Table 3.

Table 3: The Factorization Classes 

Class Name Description

RWBandFact<T>

Encapsulates factorizations of banded systems.

RWPDBandFact<T>

Encapsulates factorizations of positive definite banded systems.

RWPDFact<T>

Encapsulates factorizations of positive definite systems.

RWPDTriDiagFact<T>

Encapsulates factorizations of positive definite tridiagonal systems.

RWHermFact<T>

Encapsulates factorizations of general Hermitian systems.

RWSymFact<T>

Encapsulates factorizations of general symmetric systems.

RWTriDiagFact<T>

Encapsulates factorizations of tridiagonal systems.


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