EXISTENCE OF THE NEW QUADRANT INTERLOCKING FACTORIZATION FOR PARALLELSOLUTION OF TRIDIAGONAL LINEAR-SYSTEMS

Citation
Mk. Kadalbajoo et al., EXISTENCE OF THE NEW QUADRANT INTERLOCKING FACTORIZATION FOR PARALLELSOLUTION OF TRIDIAGONAL LINEAR-SYSTEMS, International journal of computer mathematics, 48(1-2), 1993, pp. 95-103
Citations number
5
Categorie Soggetti
Computer Sciences",Mathematics
Journal title
International journal of computer mathematics
ISSN journal
00207160 → ACNP
Volume
48
Issue
1-2
Year of publication
1993
Pages
95 - 103
Database
ISI
SICI code
Abstract
We give a counter example which shows that the non-singularity of the tridiagonal matrix A is not the sufficient condition for the existence of the new quadrant interlocking factorization (Q.I.F.) given by M. M . Chawla and K. Passi [1] for the solution of tridiagonal linear syste ms. However, we prove the existence of the Q.I.F. when A is diagonally dominant in addition to non-singularity.