UPPER AND LOWER BOUNDS FOR INVERSE ELEMENTS OF FINITE AND INFINITE TRIDIAGONAL MATRICES

Authors
SHIVAKUMAR PN JI CX
Citation
Pn. Shivakumar et Cx. Ji, UPPER AND LOWER BOUNDS FOR INVERSE ELEMENTS OF FINITE AND INFINITE TRIDIAGONAL MATRICES, Linear algebra and its applications, 247, 1996, pp. 297-316
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
247
Year of publication
1996
Pages
297 - 316
Database
ISI
SICI code
0024-3795(1996)247:<297:UALBFI>2.0.ZU;2-T
Abstract
We give easily computable upper and lower bounds for the inverse eleme nts of finite tridiagonal diagonally dominant matrices, and we improve the well-known upper bounds due to Ostrowski. The results are extende d to infinite systems. The theory is also applied to some earlier resu lts and to the evaluation of Bessel functions and Mathieu functions by using their recurrence relations.