A Lanczos approach to the inverse square root of a large and sparse matrix

Authors
Borici, A
Citation
A. Borici, A Lanczos approach to the inverse square root of a large and sparse matrix, J COMPUT PH, 162(1), 2000, pp. 123-131
Citations number
15
Categorie Soggetti
Physics
Journal title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN journal
00219991 → ACNP
Volume
162
Issue
1
Year of publication
2000
Pages
123 - 131
Database
ISI
SICI code
0021-9991(20000720)162:1<123:ALATTI>2.0.ZU;2-4
Abstract
I construct a Lanczos process on a large and sparse matrix and use the resu lts of this iteration to compute the inverse square root of the same matrix . The algorithm is a stable version of an earlier proposal by the author. I t can be used fur problems related to the matrix sign and polar decompositi on. The application here comes from the theory of chiral fermions on the la ttice. (C) 2000 Academic Press.