Fourth-order convergence theorem by using majorizing functions for super-Halley method in Banach spaces

DOI10.1080/00207160.2012.719608zbMath1278.65082OpenAlexW2050752183MaRDI QIDQ2868178

Chuanqing Gu, Lin Zheng

Publication date: 23 December 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.719608

zbMATH Keywords

nonlinear equations in Banach spacessemilocal convergencesuper-Halley methodNewton-Kantorovich theoremmajorizing functions

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Error analysis and interval analysis (65G99)

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