Pade approximation for the exponential of a block triangular matrix

Citation
L. Dieci et A. Papini, Pade approximation for the exponential of a block triangular matrix, LIN ALG APP, 308(1-3), 2000, pp. 183-202
Citations number
15
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
308
Issue
1-3
Year of publication
2000
Pages
183 - 202
Database
ISI
SICI code
0024-3795(20000315)308:1-3<183:PAFTEO>2.0.ZU;2-5
Abstract
In this work, we obtain improved error bounds for Pade approximations to e( A) when A is block triangular. As a result, improved scaling strategies ens ue which avoid some common overscaling difficulties. (C) 2000 Elsevier Scie nce Inc. All rights reserved.