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Optimal Iterative Methods for Nonlinear Equations
Numerical Functional Analysis and Optimization, 2009We prove an existence and uniqueness theorem for equations with regularly smooth operators acting between Banach spaces. It allows us to formulate a novel concept of optimality of iterative methods for solving nonlinear equations based on the entropy of the solution's position within the existence and uniqueness set guaranteed by the theorem.
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On the Optimization of Newton’s Iterative Method
Advances in Applied Mathematics, 2022openaire +1 more source
Iterative Methods for Nonlinear Optimization
Mathematics of Computation, 1973Garth P. McCormick +3 more
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Iterative LP-Based Methods for the Multiperiod Optimal Electricity and Gas Flow Problem
IEEE Transactions on Power Systems, 2022Sleiman Mhanna +2 more
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Iterative Methods for Unconstrained Optimization
1988Anthony L. Peressini +2 more
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Three-step iterative methods with optimal eighth-order convergence
Journal of Computational and Applied Mathematics, 2011Alicia Cordero +2 more
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On optimal fourth-order iterative methods free from second derivative and their dynamics
Applied Mathematics and Computation, 2012Changbum Chun +2 more
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Construction of fourth-order optimal families of iterative methods and their dynamics
Applied Mathematics and Computation, 2015Ramandeep Behl +2 more
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