A parallel method for linear equations with tridiagonal Toeplitz coefficient matrices
โ Scribed by L.E. Garey; R.E. Shaw
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 648 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
There are many articles on symmetric tridiagonal Toeplitz and circulant systems. Such systems arise in areas including numerical methods for solving boundary value differential equations and in graph theory. These matrices can often be written as the product of bidiagonal matrices. In this article, nonsymmetric Toepliz systems and nonsymmetric circulant systems are examined. The coefficient matrix is split into two bidiagonal matrices and the efficient solution of the resulting systems is considered.
๐ SIMILAR VOLUMES
A parallel algorithm for solving a series of matrix equations with a constant tridiagonal matrix and different right-hand sides is proposed and studied. The process of solving the problem is represented in two steps. The first preliminary step is calculating some rows of the inverse matrix of system
In this paper we derive second-order asymptotic results for matrices Matrices of the above form can be thought of as variable-coefficient Toeplitz matrices, or a discrete analogue of a pseudodifferential operator. Ideas from pseudodifferential operator theory are used in the proof.