Extending the applicability of secant methods and nondiscrete induction
DOI10.1016/j.amc.2011.08.064zbMath1251.65080OpenAlexW2107201039MaRDI QIDQ426334
Ioannis K. Argyros, Saïd Hilout
Publication date: 11 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.064
rate of convergencenumerical exampleserror boundssemilocal convergenceBanach spacesecant methodsChandrasekhar integral equationconsistent approximationnondiscrete mathematical induction
Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)
Uses Software
Cites Work
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- Optimal Error Bounds for the Newton–Kantorovich Theorem
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- The Kantorovich Theorem for Newton's Method
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