06419nam 2201597z- 450 991036773910332120231214133316.03-03921-941-3(CKB)4100000010106326(oapen)https://directory.doabooks.org/handle/20.500.12854/50741(EXLCZ)99410000001010632620202102d2019 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierIterative Methods for Solving Nonlinear Equations and SystemsMDPI - Multidisciplinary Digital Publishing Institute20191 electronic 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.Lipschitz conditionheston modelrectangular matricescomputational efficiencyHull–Whiteorder of convergencesignal and image processingdynamicsdivided difference operatorengineering applicationssmooth and nonsmooth operatorsNewton-HSS methodhigher order methodMoore–Penroseasymptotic error constantmultiple rootshigher orderefficiency indexmultiple-root findercomputational efficiency indexPotra–Pták methodnonlinear equationssystem of nonlinear equationspurely imaginary extraneous fixed pointattractor basinpoint projectionfixed point theoremconvex constraintsweight functionradius of convergenceFrédholm integral equationsemi-local convergencenonlinear HSS-like methodconvexityaccretive operatorsNewton-type methodsmultipoint iterationsbanach spaceKantorovich hypothesisvariational inequality problemNewton methodsemilocal convergenceleast square problemFréchet derivativeNewton’s methoditerative processNewton-like methodBanach spacesixteenth-order optimal convergencenonlinear systemsChebyshev–Halley-typeJarratt methoditeration schemeNewton’s iterative methodbasins of attractiondrazin inverseoption pricinghigher order of convergencenon-linear equationnumerical experimentsignal processingoptimal methodsrate of convergencen-dimensional Euclidean spacenon-differentiable operatorprojection methodNewton’s second order methodintersectionplanar algebraic curveHilbert spaceconjugate gradient methodsixteenth order convergence methodPadé approximationoptimal iterative methodserror boundhigh orderFredholm integral equationglobal convergenceiterative methodintegral equation?-continuity conditionsystems of nonlinear equationsgeneralized inverselocal convergenceiterative methodsmulti-valued quasi-nonexpasive mappingsR-orderfinite difference (FD)nonlinear operator equationbasin of attractionPDEKing’s familySteffensen’s methodnonlinear monotone equationsPicard-HSS methodnonlinear modelsthe improved curvature circle algorithmsplit variational inclusion problemcomputational order of convergencewith memorymultipoint iterative methodsKung–Traub conjecturemultiple zerosfourth order iterative methodsparametric curveoptimal ordernonlinear equationSoleymani Fazlollahauth1290993Cordero AliciaauthTorregrosa Juan RauthBOOK9910367739103321Iterative Methods for Solving Nonlinear Equations and Systems3021732UNINA