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The use of the factorization of five-diagonal matrices by tridiagonal Toeplitz matrices

✍ Scribed by F. Diele; L. Lopez

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
412 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis

The aim of this paper is the use of the factorization of five-diagonal matrices as the product of two Toeplitz tridiagonal matrices. Either bounds for the inverse or numerical methods for solving linear systems may be derived. Some results will be extended to block five-diagonal matrices. Applications to the numerical solution of ODE and PDE together with numerical tests will be given.

πŸ“œ SIMILAR VOLUMES

Two-sided bounds on the inverses of diag
Two-sided bounds on the inverses of diagonally dominant tridiagonal matrices
✍ Reinhard Nabben πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 633 KB

We establish upper and lower bounds for the entries of the inverses of diagonally dominant tridiagonal matrices. These bounds improve the bounds recently given by Shivakumar and Ji. Moreover, we show how to improve our bounds iteratively. For an n x n M-matrix this iterative refinement yields the ex