publication . Preprint . 2014

Iterative methods for the inclusion of the inverse matrix

Petkovic, Marko D.; Petkovic, Miodrag S.;
Open Access English
  • Published: 20 Jun 2014
Abstract
In this paper we present an efficient iterative method of order six for the inclusion of the inverse of a given regular matrix. To provide the upper error bound of the outer matrix for the inverse matrix, we combine point and interval iterations. The new method is relied on a suitable matrix identity and a modification of a hyper-power method. This method is also feasible in the case of a full-rank $m\times n$ matrix, producing the interval sequence which converges to the Moore-Penrose inverse. It is shown that computational efficiency of the proposed method is equal or higher than the methods of hyper-power's type.
Subjects
free text keywords: Mathematics - Numerical Analysis, 15A09, 65G30, 47J25, 03D15, 65H05
Related Organizations
Funded by
MESTD| Graph theory and mathematical programming with applications in chemistry and computer science
Project
  • Funder: Ministry of Education, Science and Technological Development of Republic of Serbia (MESTD)
  • Project Code: 174033
  • Funding stream: Basic Research (BR or ON)
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