Semilocal convergence of a sixth-order method in Banach spaces

DOI10.1007/s11075-012-9541-6zbMath1264.65085OpenAlexW1999044939MaRDI QIDQ1762497

Chuanqing Gu, Lin Zheng

Publication date: 27 November 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9541-6

zbMATH Keywords

numerical resultsnonlinear equations in Banach spacessemilocal convergencerecurrence relationsa priori error boundsiterative method of order 6nonlinear Hammerstein integral equations

Mathematics Subject Classification ID

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)

Related Items (8)

Semilocal convergence of an eighth-order method in Banach spaces and its computational efficiency ⋮ Semilocal convergence and its computational efficiency of a seventh-order method in Banach spaces ⋮ Semilocal convergence analysis of an iteration of order five using recurrence relations in Banach spaces ⋮ Convergence analysis of a fifth-order iterative method using recurrence relations and conditions on the first derivative ⋮ Semilocal Convergence of a Seventh-Order Method in Banach Spaces Under H<i>ö</i>lder Continuity Condition ⋮ Semilocal convergence of a computationally efficient eighth-order method in Banach spaces under \(w\)-continuity condition ⋮ Semilocal convergence of a computationally efficient iterative method in Banach spaces under weak condition ⋮ Semilocal convergence analysis and comparison of revisited computational efficiency of the sixth-order method in Banach spaces

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