Comparison Results for Proper Nonnegative Splittings of Matrices
| Autor: | Alekha Kumar Baliarsingh, Debasisha Mishra |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Pure mathematics
Iterative method Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS Comparison results 010103 numerical & computational mathematics System of linear equations 01 natural sciences 010101 applied mathematics Algebra Mathematics (miscellaneous) Matrix splitting ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0101 mathematics Mathematics |
| Zdroj: | Results in Mathematics. 71:93-109 |
| ISSN: | 1420-9012 1422-6383 |
| DOI: | 10.1007/s00025-015-0504-9 |
| Popis: | The theory of splittings of matrices is a useful tool in the analysis of iterative methods for solving systems of linear equations. When two splittings are given, it is of interest to compare the spectral radii of the corresponding iteration matrices. The aim of this paper is to bring out a few more comparison results for the recent matrix splitting called proper nonnegative splitting introduced by Mishra (Comput Math Appl 67:136–144, 2014). Comparison results for double proper nonnegative splittings are also discussed. |
| Databáze: | OpenAIRE |
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