Symmetric Eigenvalue Decomposition Classes

SourcePro Analysis : Linear Algebra Module User’s Guide : Class Overview : Class Groups of the Linear Algebra Module : Symmetric Eigenvalue Decomposition Classes

The Linear Algebra Module provides a number of objects for solving symmetric eigenvalue problems. The Symmetric Eigenvalue Decomposition Classes are contained in Table 4.

Table 4 – The Symmetric Eigenvalue Decomposition Classes
Class Name	Type	Header File
RWSymEigDecomp<T>, RWHermEigDecomp<T>	Encapsulates the eigenvalues and eigenvectors of a symmetric matrix, a Hermitian in the complex case.	rw/lapack/symeig.hrw/lapack/hermeig.h
RWSymEigServer<T>	An abstract base class for the symmetric eigenvalue servers.	rw/lapack/seigsrv.h
RWHermEigServer<T>	An abstract base class for the Hermitian eigenvalue servers.	rw/lapack/heigsrv.h
RWSymPDQREigServer<T>, RWHermPDQREigServer<T>	Servers for the positive definite QR method of computing eigenvalues. These servers apply only to matrices that you know are positive definite.	rw/lapack/seigsrv.hrw/lapack/heigsrv.h
RWSymQREigServer<T>, RWHermQREigServer<T>	Servers for the QR method of computing eigenvalues.	rw/lapack/seigsrv.hrw/lapack/heigsrv.h
RWSymRangeEigServer<T>, RWHermRangeEigServer<T>	Symmetric eigenvalue server classes, which allow the computation of only the eigenvalues in a given range and (optionally) their corresponding eigenvectors.	rw/lapack/seigsrv.h rw/lapack/heigsrv.h
RWSymRFQREigServer<T>, RWHermRFQREigServer<T>	Servers for the root-free QR method of computing eigenvalues. This method computes all the eigenvalues and no eigenvectors.	rw/lapack/seigsrv.h rw/lapack/heigsrv.h
RWSymSomeEigServer<T>, RWHermSomeEigServer<T>	Symmetric eigenvalue server classes and the Hermitian eigenvalue server class, respectively, allow the computation of a subset of the eigenvalues and (optionally) their corresponding eigenvectors.	rw/lapack/seigsrv.hrw/lapack/heigsrv.h
RWTriDiagDecomp<T>	A tridiagonal decomposition of a symmetric matrix A: A=Q’TQ where Q is orthogonal and T is tridiagonal and real.	rw/lapack/td.h