LEADER 06420nam 2201609z- 450 001 9910367739103321 005 20210211 010 $a3-03921-941-3 035 $a(CKB)4100000010106326 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/50741 035 $a(oapen)doab50741 035 $a(EXLCZ)994100000010106326 100 $a20202102d2019 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aIterative Methods for Solving Nonlinear Equations and Systems 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 215 $a1 online resource (494 p.) 311 08$a3-03921-940-5 330 $aSolving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering. 610 $a?-continuity condition 610 $aaccretive operators 610 $aasymptotic error constant 610 $aattractor basin 610 $abanach space 610 $aBanach space 610 $abasin of attraction 610 $abasins of attraction 610 $aChebyshev-Halley-type 610 $acomputational efficiency 610 $acomputational efficiency index 610 $acomputational order of convergence 610 $aconjugate gradient method 610 $aconvex constraints 610 $aconvexity 610 $adivided difference operator 610 $adrazin inverse 610 $adynamics 610 $aefficiency index 610 $aengineering applications 610 $aerror bound 610 $afinite difference (FD) 610 $afixed point theorem 610 $afourth order iterative methods 610 $aFre?chet derivative 610 $aFredholm integral equation 610 $aFre?dholm integral equation 610 $ageneralized inverse 610 $aglobal convergence 610 $aheston model 610 $ahigh order 610 $ahigher order 610 $ahigher order method 610 $ahigher order of convergence 610 $aHilbert space 610 $aHull-White 610 $aintegral equation 610 $aintersection 610 $aiteration scheme 610 $aiterative method 610 $aiterative methods 610 $aiterative process 610 $aJarratt method 610 $aKantorovich hypothesis 610 $aKing's family 610 $aKung-Traub conjecture 610 $aleast square problem 610 $aLipschitz condition 610 $alocal convergence 610 $aMoore-Penrose 610 $amulti-valued quasi-nonexpasive mappings 610 $amultiple roots 610 $amultiple zeros 610 $amultiple-root finder 610 $amultipoint iterations 610 $amultipoint iterative methods 610 $an-dimensional Euclidean space 610 $aNewton method 610 $aNewton-HSS method 610 $aNewton-like method 610 $aNewton-type methods 610 $aNewton's iterative method 610 $aNewton's method 610 $aNewton's second order method 610 $anon-differentiable operator 610 $anon-linear equation 610 $anonlinear equation 610 $anonlinear equations 610 $anonlinear HSS-like method 610 $anonlinear models 610 $anonlinear monotone equations 610 $anonlinear operator equation 610 $anonlinear systems 610 $anumerical experiment 610 $aoptimal iterative methods 610 $aoptimal methods 610 $aoptimal order 610 $aoption pricing 610 $aorder of convergence 610 $aPade? approximation 610 $aparametric curve 610 $aPDE 610 $aPicard-HSS method 610 $aplanar algebraic curve 610 $apoint projection 610 $aPotra-Pta?k method 610 $aprojection method 610 $apurely imaginary extraneous fixed point 610 $aR-order 610 $aradius of convergence 610 $arate of convergence 610 $arectangular matrices 610 $asemi-local convergence 610 $asemilocal convergence 610 $asignal and image processing 610 $asignal processing 610 $asixteenth order convergence method 610 $asixteenth-order optimal convergence 610 $asmooth and nonsmooth operators 610 $asplit variational inclusion problem 610 $aSteffensen's method 610 $asystem of nonlinear equations 610 $asystems of nonlinear equations 610 $athe improved curvature circle algorithm 610 $avariational inequality problem 610 $aweight function 610 $awith memory 700 $aSoleymani$b Fazlollah$4auth$01290993 702 $aCordero$b Alicia$4auth 702 $aTorregrosa$b Juan R$4auth 906 $aBOOK 912 $a9910367739103321 996 $aIterative Methods for Solving Nonlinear Equations and Systems$93021732 997 $aUNINA