Exact order of convergence of the secant method

DOI10.1007/BF00939881zbMath0795.65026MaRDI QIDQ1321388

Marcos Raydan

Publication date: 27 April 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Newton's methodcounterexamplesecant methodexact Q-order of convergenceexact R- order of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (8)

A parallel root-finding algorithm ⋮ Optimal robust fault detection of discrete‐time LPV systems with measurement error‐affected scheduling variables combining ZKF and pQP ⋮ Homocentric convergence ball of the secant method ⋮ A survey on the high convergence orders and computational convergence orders of sequences ⋮ A method to accelerate the convergence of the secant algorithm ⋮ Levenberg-Marquardt method with general convex penalty for nonlinear inverse problems ⋮ Achieving an extended convergence analysis for the secant method under a restricted Hölder continuity condition ⋮ How Many Steps Still Left to $x$*?

Cites Work

• On Q-order and R-order of convergence
• The Projected Newton Method Has Order $1 + \sqrt 2 $ for the Symmetric Eigenvalue Problem
• Orders of Convergence for Iterative Procedures
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exact order of convergence of the secant method