A Rapid Numerical Algorithm to Compute Matrix Inversion | Zendy

Fazlollah Soleymani | Zendy

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A Rapid Numerical Algorithm to Compute Matrix Inversion

Author(s) -

Fazlollah Soleymani

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/134653

Subject(s) - mathematics , rate of convergence , convergence (economics) , inversion (geology) , matrix (chemical analysis) , algorithm , scheme (mathematics) , numerical analysis , mathematical analysis , computer science , key (lock) , computer security , structural basin , economics , composite material , biology , economic growth , paleontology , materials science

The aim of the present work is to suggest and establish a numerical algorithm based on matrix multiplications for computing approximate inverses. It is shown theoretically that the scheme possesses seventh-order convergence, and thus it rapidly converges. Some discussions on the choice of the initial value to preserve the convergence rate are given, and it is also shown in numerical examples that the proposed scheme can easily be taken into account to provide robust preconditioners

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