Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications
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Publication:2451431
DOI10.1016/j.amc.2013.01.047zbMath1288.65069OpenAlexW2076916216MaRDI QIDQ2451431
Sergio Amat, Sonia Busquier, Miquel Grau-Sánchez, Àngela Grau
Publication date: 3 June 2014
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.01.047
Related Items (20)
Multipoint efficient iterative methods and the dynamics of Ostrowski's method ⋮ On an efficient \(k\)-step iterative method for nonlinear equations ⋮ Unified convergence analysis of frozen Newton-like methods under generalized conditions ⋮ On the local convergence study for an efficient \(k\)-step iterative method ⋮ An efficient sixth-order Newton-type method for solving nonlinear systems ⋮ Note on the efficiency of some iterative methods for solving nonlinear equations ⋮ Seventh-order derivative-free iterative method for solving nonlinear systems ⋮ Convergence analysis of a three step Newton-like method for nonlinear equations in Banach space under weak conditions ⋮ Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device ⋮ Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear systems ⋮ Constructing frozen Jacobian iterative methods for solving systems of nonlinear equations, associated with ODEs and PDEs using the homotopy method ⋮ Multi-step derivative-free preconditioned Newton method for solving systems of nonlinear equations ⋮ On the local and semilocal convergence of a parameterized multi-step Newton method ⋮ Local convergence of a relaxed two-step Newton like method with applications ⋮ On a two-step relaxed Newton-type method ⋮ Reducing chaos and bifurcations in Newton-type methods ⋮ Unnamed Item ⋮ Note on improvements of order and efficiency in some iterative methods for solving nonlinear equations ⋮ Generalized newton multi-step iterative methods GMNp,m for solving system of nonlinear equations ⋮ Generalizing the local convergence analysis of a class of $k$-step iterative algorithms with H
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