New improved convergence analysis for the secant method

DOI10.1016/J.MATCOM.2015.08.002OpenAlexW2224180341MaRDI QIDQ2228732

Ioannis K. Argyros, Ángel Alberto Magreñán

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2015.08.002

zbMATH Keywords

Banach spacesecant methodFréchet-derivativedivided differencemajorizing sequence

Mathematics Subject Classification ID

Numerical analysis (65-XX) Operations research, mathematical programming (90-XX)

Related Items (5)

On the convergence ball and error analysis of the modified secant method ⋮ Semilocal convergence of a secant-type method under weak Lipschitz conditions in Banach spaces ⋮ On a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stability ⋮ A faster King–Werner-type iteration and its convergence analysis ⋮ Influence of the center condition on the two-step secant method

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