DOAJ Open Access 2020

Extending the Applicability of Newton’s Algorithm with Projections for Solving Generalized Equations

Michael I. Argyros Gus I. Argyros Ioannis K. Argyros Samundra Regmi Santhosh George

Abstrak

A new technique is developed to extend the convergence ball of Newton’s algorithm with projections for solving generalized equations with constraints on the multidimensional Euclidean space. This goal is achieved by locating a more precise region than in earlier studies containing the solution on which the Lipschitz constants are smaller than the ones used in previous studies. These advances are obtained without additional conditions. This technique can be used to extend the usage of other iterative algorithms. Numerical experiments are used to demonstrate the superiority of the new results.

Topik & Kata Kunci

Technology Applied mathematics. Quantitative methods

Penulis (5)

Michael I. Argyros

Gus I. Argyros

Ioannis K. Argyros

Samundra Regmi

Santhosh George

Format Sitasi

APA MLA BibTeX

Argyros, M.I., Argyros, G.I., Argyros, I.K., Regmi, S., George, S. (2020). Extending the Applicability of Newton’s Algorithm with Projections for Solving Generalized Equations. https://doi.org/10.3390/asi3030030

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Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.3390/asi3030030
Akses: Open Access ✓