A weak condition for secant method to solve systems of nonlinear equations

DOI10.1007/s11766-009-1975-9zbMath1199.65170OpenAlexW1967554956MaRDI QIDQ846793

Chengyan Zhu, Hong Zhang, Kewei Liang, Danfu Han

Publication date: 12 February 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-1975-9

zbMATH Keywords

complexitysystems of nonlinear equationssecant methodradius of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Complexity and performance of numerical algorithms (65Y20)

Cites Work

• Nichtlineare Majoranten beim Verfahren der schrittweisen Näherung
• A new semilocal convergence theorem for the secant method under Hölder continuous divided differences
• Convergence on a deformed Newton method
• The secant method and divided differences Hölder continuous
• On an iterative algorithm of order 1.839… for solving nonlinear operator equations^∗)
• Improved convergence analysis for the Secant method based on a certain type of recurrence relations
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