Some Matrix Iterations for Computing Generalized Inverses and Balancing Chemical Equations

Autor: Farahnaz Soleimani, Predrag S. Stanimirovi´c, Fazlollah Soleymani
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Algorithms, Vol 8, Iss 4, Pp 982-998 (2015)
Druh dokumentu: article
ISSN: 1999-4893
DOI: 10.3390/a8040982
Popis: An application of iterative methods for computing the Moore–Penrose inverse in balancing chemical equations is considered. With the aim to illustrate proposed algorithms, an improved high order hyper-power matrix iterative method for computing generalized inverses is introduced and applied. The improvements of the hyper-power iterative scheme are based on its proper factorization, as well as on the possibility to accelerate the iterations in the initial phase of the convergence. Although the effectiveness of our approach is confirmed on the basis of the theoretical point of view, some numerical comparisons in balancing chemical equations, as well as on randomly-generated matrices are furnished.
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