Abstract
In this paper we discuss the structure of the factors of a QR- and a URV-factorization of a diagonal-plus
-semiseparable matrix. The Q-factor of a QR-factorization has the diagonal-plus-semiseparable structure. The
U- and V-factor of a URV-factorization are semiseparable lower Hessenberg orthogonal matrices. The strictly
upper triangular part of the R-factor of a QR- and of a URV-factorization is the strictly upper triangular part
of a rank-2 matrix. This latter fact provides a tool to construct a fast QR-solver and a fast URV-solver for
linear systems of the form (D + S)x = b.
c 2003 Elsevier B.V. All rights reserved.
Anno
2004
Autori IAC
Tipo pubblicazione
Altri Autori
Ellen Van Camp; Nicola Mastronardi; Marc Van Barel
Editore
Koninklijke Vlaamse Ingenieursvereniging
Rivista
Journal of computational and applied mathematics