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Optimal Iterative Methods for Nonlinear Equations

Numerical Functional Analysis and Optimization, 2009
We 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.
openaire   +1 more source

Iterative Methods for Nonlinear Optimization

Mathematics of Computation, 1973
Garth P. McCormick   +3 more
openaire   +1 more source

Iterative LP-Based Methods for the Multiperiod Optimal Electricity and Gas Flow Problem

IEEE Transactions on Power Systems, 2022
Sleiman Mhanna   +2 more
exaly  

Iterative Methods for Unconstrained Optimization

1988
Anthony L. Peressini   +2 more
openaire   +1 more source

Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics

Journal of Computational and Applied Mathematics, 2018
Fiza Zafar   +2 more
exaly  

Three-step iterative methods with optimal eighth-order convergence

Journal of Computational and Applied Mathematics, 2011
Alicia Cordero   +2 more
exaly  

On optimal fourth-order iterative methods free from second derivative and their dynamics

Applied Mathematics and Computation, 2012
Changbum Chun   +2 more
exaly  

Construction of fourth-order optimal families of iterative methods and their dynamics

Applied Mathematics and Computation, 2015
Ramandeep Behl   +2 more
exaly  

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