Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse | Zendy

Fazlollah Soleymani | Zendy; Mahdi Sharifi | Zendy; Stanford Shateyi | Zendy

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Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse

Author(s) -

Fazlollah Soleymani,

Mahdi Sharifi,

Stanford Shateyi

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/731562

Subject(s) - inverse , mathematics , convergence (economics) , computation , generalized inverse , iterative method , matrix (chemical analysis) , moore–penrose pseudoinverse , extension (predicate logic) , square (algebra) , algorithm , mathematical optimization , computer science , geometry , materials science , economics , composite material , programming language , economic growth

This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth-order convergence. The extension of the proposed iterative method for computing Moore-Penrose inverse is furnished. Numerical results including the comparisons with different existing methods of the same type in the literature will also be presented to manifest the superiority of the new algorithm in finding approximate inverses

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