New iterative procedures for approximating different types of inverse matrix: convergence and stability,

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dc.contributor.authorElaine Segura
dc.date.accessioned2025-08-25T21:33:05Z
dc.date.available2025-08-25T21:33:05Z
dc.date.issued2025-01-25
dc.descriptionPublicado para la revista: " Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd."
dc.description.abstractIn this paper, we propose a new parametric family of iterative schemes to compute the inverse of a complex nonsingular matrix. It is shown that the members of this family have at least a fourth order of convergence. A particular element of the class is extended to approximate the Moore–Penrose inverse of rectangular complex matrices, keeping the convergence order. A dynamic analysis is performed to obtain a parameter domain in which stability is assured and to detect which members of the proposed family have good stability properties and which have chaotic behavior. Some numerical examples, with matrices of different sizes, are tested to confirm the theoretical and dynamical results.
dc.identifier.citationSegura, E. (2025). New Iterative Procedures for Approximating Different Types of Inverse Matrix: Convergence and Stability. Mathematical Methods in the Applied Sciences.
dc.identifier.urihttps://repositoriovip.uasd.edu.do/handle/123456789/972
dc.language.isoen
dc.relation.ispartofseries2025; 21
dc.titleNew iterative procedures for approximating different types of inverse matrix: convergence and stability,
dc.typeArticle
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