Inverse matrix estimations by interative methods with weight functions and their stability analysis
Inverse matrix estimations by interative methods with weight functions and their stability analysis
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Date
2024-09
Authors
Elaine Segura
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Abstract
"In this paper, we construct a parametric family of iterative methods to compute the inverse of a nonsingular matrix. This class is free of inverse operators. We prove the third-order of convergence under some conditions involving the parameter of the family. Moreover, a dynamical analysis is made for the first time to a matrix iterative method, finding intervals of stability, that include but are wider than those found in the convergence analysis. Numerical tests on large random matrices confirm the results found.
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Publicado por la revista: Mathematics Letters. 155(2024) 109122.
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Segura, E. (2024). Inverse matrix estimations by interative methods with weight functions and their stability analysis. Mathematics Letters, 155, 109122.