MULTIRESOLUTION STANDARD FORM OF A MATRIX

Citation
F. Arandiga et Vf. Candela, MULTIRESOLUTION STANDARD FORM OF A MATRIX, SIAM journal on numerical analysis, 33(2), 1996, pp. 417-434
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00361429
Volume
33
Issue
2
Year of publication
1996
Pages
417 - 434
Database
ISI
SICI code
0036-1429(1996)33:2<417:MSFOAM>2.0.ZU;2-3
Abstract
We present a new method to compress matrices based on interpolatory mu ltiresolution. The matrices so compressed allow all kinds of algebraic operations, including matrix-matrix multiplication. We illustrate thr ough examples the performance of the compressed matrices. We call the form devised here standard in contrast to the nonstandard form introdu ced by Harten and Yad-Shalom in previous papers, because they are the interpolatory multiresolution equivalent to the standard and nonstanda rd wavelet forms, respectively.