06420nam 2201609z- 450 9910367739103321202102113-03921-941-3(CKB)4100000010106326(oapen)https://directory.doabooks.org/handle/20.500.12854/50741(oapen)doab50741(EXLCZ)99410000001010632620202102d2019 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierIterative Methods for Solving Nonlinear Equations and SystemsMDPI - Multidisciplinary Digital Publishing Institute20191 online resource (494 p.)3-03921-940-5 Solving 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.?-continuity conditionaccretive operatorsasymptotic error constantattractor basinbanach spaceBanach spacebasin of attractionbasins of attractionChebyshev-Halley-typecomputational efficiencycomputational efficiency indexcomputational order of convergenceconjugate gradient methodconvex constraintsconvexitydivided difference operatordrazin inversedynamicsefficiency indexengineering applicationserror boundfinite difference (FD)fixed point theoremfourth order iterative methodsFréchet derivativeFredholm integral equationFrédholm integral equationgeneralized inverseglobal convergenceheston modelhigh orderhigher orderhigher order methodhigher order of convergenceHilbert spaceHull-Whiteintegral equationintersectioniteration schemeiterative methoditerative methodsiterative processJarratt methodKantorovich hypothesisKing's familyKung-Traub conjectureleast square problemLipschitz conditionlocal convergenceMoore-Penrosemulti-valued quasi-nonexpasive mappingsmultiple rootsmultiple zerosmultiple-root findermultipoint iterationsmultipoint iterative methodsn-dimensional Euclidean spaceNewton methodNewton-HSS methodNewton-like methodNewton-type methodsNewton's iterative methodNewton's methodNewton's second order methodnon-differentiable operatornon-linear equationnonlinear equationnonlinear equationsnonlinear HSS-like methodnonlinear modelsnonlinear monotone equationsnonlinear operator equationnonlinear systemsnumerical experimentoptimal iterative methodsoptimal methodsoptimal orderoption pricingorder of convergencePadé approximationparametric curvePDEPicard-HSS methodplanar algebraic curvepoint projectionPotra-Pták methodprojection methodpurely imaginary extraneous fixed pointR-orderradius of convergencerate of convergencerectangular matricessemi-local convergencesemilocal convergencesignal and image processingsignal processingsixteenth order convergence methodsixteenth-order optimal convergencesmooth and nonsmooth operatorssplit variational inclusion problemSteffensen's methodsystem of nonlinear equationssystems of nonlinear equationsthe improved curvature circle algorithmvariational inequality problemweight functionwith memorySoleymani Fazlollahauth1290993Cordero AliciaauthTorregrosa Juan RauthBOOK9910367739103321Iterative Methods for Solving Nonlinear Equations and Systems3021732UNINA