This paper presents a simple unifying algorithm for solving systems of linear equations. Solving a system of linear equations will be interpreted as an interpolation problem. This new approach leads us to a general algorithm called the recursive interpolation algorithm RIA, which includes the direct
Recursive interpolation algorithm: A formalism for solving systems of linear equations — II Iterative methods
✍ Scribed by A. Messaoudi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 989 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
This paper presents a simple unifying algorithm for solving systems of linear equations. Solving a system of linear equations will be interpreted as an interpolation problem. This new approach led us to a general algorithm called the recursive interpolation algorithm R1A. In Part I we gave the connection between this algorithm and known direct methods; in this part the truncated and the restarted versions of the RIA will be given. We will also show how to choose two free sets of parameters in the R1A for recovering some iterative methods.
📜 SIMILAR VOLUMES
In this paper, we discuss the solution of a system of fuzzy linear equations, X = AX + U , and its iteration algorithms where A is a real n × n matrix, the unknown vector X and the constant U are all vectors consisting of n fuzzy numbers, and the addition, scale-multiplication are deÿned by Zadeh's