A Rapid Numerical Algorithm to Compute Matrix Inversion
Copyright policy )A Rapid Numerical Algorithm to Compute Matrix Inversion
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.
- Ferdowsi University of Mashhad Iran (Islamic Republic of)
preconditioners, Iterative numerical methods for linear systems, numerical examples, algorithm, convergence, approximate inverses, QA1-939, Preconditioners for iterative methods, Theory of matrix inversion and generalized inverses, Mathematics, matrix inversion
preconditioners, Iterative numerical methods for linear systems, numerical examples, algorithm, convergence, approximate inverses, QA1-939, Preconditioners for iterative methods, Theory of matrix inversion and generalized inverses, Mathematics, matrix inversion
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