Simultaneous roots for vectorial problems
Francisco Chinesta, Alicia Cordero, Neus Garrido, Juan R. Torregrosa, Paula Triguero‐Navarro
Abstract
Abstract In this manuscript, we design an iterative step that can be added to any numerical process for solving systems of nonlinear equations. By means of this addition, the resulting iterative scheme obtains, simultaneously, all the solutions to the vectorial problem. Moreover, the order of this new iterative procedure duplicates that of their original partner. We apply this step to some known methods and analyse the behaviour of these new algorithms, obtaining simultaneously the roots of several nonlinear systems.
Topics & Concepts
Nonlinear systemIterative and incremental developmentIterative methodScheme (mathematics)Process (computing)Computer scienceApplied mathematicsMathematicsMathematical optimizationAlgorithmOrder (exchange)Mathematical analysisOperating systemFinanceEconomicsQuantum mechanicsPhysicsSoftware engineeringIterative Methods for Nonlinear EquationsAdvanced Optimization Algorithms ResearchMatrix Theory and Algorithms