A New High-Order Stable Numerical Method for Matrix Inversion

A stable numerical method is proposed for matrix inversion. The new method is accompanied by theoretical proof to illustrate twelfth-order convergence. A discussion of how to achieve the convergence using an appropriate initial value is presented. The application of the new scheme for finding Moore-...

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Bibliographic Details
Published inTheScientificWorld Vol. 2014; no. 2014; pp. 1 - 10
Main Authors Haghani, F. Khaksar, Soleymani, Fazlollah
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2014
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Algorithms
Approximation
Convergence (Mathematics)
Iterative methods
Mathematical Concepts
Mathematical research
Matrices
Methods
Numerical analysis
Sparsity
Iran
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Summary:A stable numerical method is proposed for matrix inversion. The new method is accompanied by theoretical proof to illustrate twelfth-order convergence. A discussion of how to achieve the convergence using an appropriate initial value is presented. The application of the new scheme for finding Moore-Penrose inverse will also be pointed out analytically. The efficiency of the contributed iterative method is clarified on solving some numerical examples.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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Academic Editors: N. Herisanu and N. I. Mahmudov
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/830564