Decomposition Classes

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

The Decomposition Classes allow construction and manipulation of QR, complete orthogonal, and singular value decompositions. These classes are contained in Table 7:

Table 7 – The Decomposition Classes
Class Name	Type	Header File
RWBalanceDecomp<T>	A permutation and balance transformation performed on a nonsymmetric matrix before computing its eigenvalues.	rw/lapack/bal.h
RWBalanceTransform<T>	Encapsulates two transformations: a permutation and balance transformation performed on a nonsymmetric matrix before computing its eigenvalues.	rw/lapack/bal.h
RWBandTriDiagDecomp<T>	A symmetric tridiagonal decomposition of a symmetric banded matrix A: A=QTQ’ where Q is orthogonal and T is real tridiagonal symmetric.	rw/lapack/td.h
RWCODecomp<T,QRCalc>	Encapsulates a complete orthogonal decomposition.	rw/lapack/co.h
RWDenseTriDiagDecomp<T>	The symmetric tridiagonal decomposition of a dense symmetric matrix A, where:A: A=QTQ’ and Q is orthogonal and T is real tridiagonal symmetric.	rw/lapack/td.h
RWQRCalc<T>	Computes the QR decomposition of a matrix using LAPACK function xgeqpf or xgeqrf.	rw/lapack/qrcalc.h
RWQRCalcP3<T>	Computes the QR decomposition of a matrix using LAPACK function xgeqp3.	rw/lapack/qrcalcp3.h
RWQRDecomp<T,QRCalc>	Used to construct and work with QR decompositions or to solve linear least squares problems.	rw/lapack/qr.h
RWQRDecompServer<T,QRCalc>	A QR decomposition server used to construct instances of the QR decomposition classes,	rw/lapack/qr.h
RWSVDCalc<T>	Computes the singular value decomposition of a matrix.	rw/lapack/svdcalc.h
RWSVDDivConqCalc<T>	Computes the singular value decomposition of a matrix using divide-and-conquer.	rw/lapack/svddccalc.h
RWSVDecomp<T,SVDCalc>	Used to construct and work with singular value decompositions.	rw/lapack/sv.h
RWSVServer<T,SVDCalc>	Used to construct instances of the singular value decomposition class.	rw/lapack/sv.h