Ball convergence theorems for Maheshwari-type eighth-order methods under weak conditions

DOI10.1007/S40863-015-0009-1zbMath1348.65085OpenAlexW2110055046WikidataQ108437942 ScholiaQ108437942MaRDI QIDQ332615

Ioannis K. Argyros, Santhosh George

Publication date: 8 November 2016

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-015-0009-1

zbMATH Keywords

Newton methodlocal convergenceorder of convergenceKing's methodMaheshwari-type methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

• Stability study of eighth-order iterative methods for solving nonlinear equations
• Some new iterative methods with three-order convergence
• A fourth order iterative method for solving nonlinear equations
• A modified Chebyshev's iterative method with at least sixth order of convergence
• Computational Methods in Nonlinear Analysis
• Convergence and Applications of Newton-type Iterations
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