A unified approach for the convergence of certain numerical algorithms, using recurrent functions
DOI10.1007/S00607-010-0113-0zbMath1214.65027OpenAlexW1974161693MaRDI QIDQ605045
Saïd Hilout, Ioannis K. Argyros
Publication date: 23 November 2010
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00607-010-0113-0
numerical exampleserror boundsnonlinear equations in Banach spacesboundary value problemsemilocal convergenceroots of polynomialsnonlinear PDEGreen functionintegral equation methodNewton-like methodsmajorizing sequenceNewton-Kantorovich hypothesis
Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Integral representations of solutions to PDEs (35C15) Numerical solutions to equations with nonlinear operators (65J15) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical computation of roots of polynomial equations (65H04)
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