Influence of the center condition on the two-step secant method

DOI10.1155/2017/7364236zbMath1405.65077OpenAlexW2760577363MaRDI QIDQ1798607

Abhimanyu Kumar, Shwetabh Srivastava, Dharmendra Kumar Gupta

Publication date: 23 October 2018

Published in: International Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/7364236

zbMATH Keywords

convergence analysisnonlinear equationtwo-step secant method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the convergence of King-Werner-type methods of order \(1 + \sqrt{2}\) free of derivatives
• On the convergence of a damped Newton-like method with modified right hand side vector
• Expanding the applicability of the secant method under weaker conditions
• Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition
• Recurrence relations for semilocal convergence of a Newton-like method in Banach spaces
• Some supplementary results on the \(1+\sqrt 2\) order method for the solution of nonlinear equations
• New semilocal and local convergence analysis for the secant method
• Semilocal convergence of a secant-type method under weak Lipschitz conditions in Banach spaces
• On the accessibility of Newton's method under a Hölder condition on the first derivative
• Convergence of a parameter based iterative method for solving nonlinear equations in Banach spaces
• New improved convergence analysis for the secant method
• On the convergence of efficient King-Werner-type methods of order \(1 + \sqrt{2}\)
• Tangent methods for nonlinear equations
• Local convergence of deformed Halley method in Banach space under Holder continuity conditions
• On the local convergence of secant-type methods
• Enlarging the domain of starting points for Newton's method under center conditions on the first Fréchet-derivative

This page was built for publication: Influence of the center condition on the two-step secant method