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Iterative Methods for Solving Nonlinear Equations and Systems

dc.contributor.authorSoleymani, Fazlollah*
dc.contributor.authorCordero, Alicia*
dc.contributor.authorTorregrosa, Juan R.*
dc.date.accessioned2021-02-11T16:46:34Z
dc.date.available2021-02-11T16:46:34Z
dc.date.issued2019*
dc.date.submitted2020-01-07 09:08:26*
dc.identifier43212*
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/50741
dc.description.abstractSolving 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.*
dc.languageEnglish*
dc.subjectQA1-939*
dc.subjectQ1-390*
dc.subject.classificationbic Book Industry Communication::P Mathematics & scienceen_US
dc.subject.otherLipschitz condition*
dc.subject.otherheston model*
dc.subject.otherrectangular matrices*
dc.subject.othercomputational efficiency*
dc.subject.otherHull–White*
dc.subject.otherorder of convergence*
dc.subject.othersignal and image processing*
dc.subject.otherdynamics*
dc.subject.otherdivided difference operator*
dc.subject.otherengineering applications*
dc.subject.othersmooth and nonsmooth operators*
dc.subject.otherNewton-HSS method*
dc.subject.otherhigher order method*
dc.subject.otherMoore–Penrose*
dc.subject.otherasymptotic error constant*
dc.subject.othermultiple roots*
dc.subject.otherhigher order*
dc.subject.otherefficiency index*
dc.subject.othermultiple-root finder*
dc.subject.othercomputational efficiency index*
dc.subject.otherPotra–Pták method*
dc.subject.othernonlinear equations*
dc.subject.othersystem of nonlinear equations*
dc.subject.otherpurely imaginary extraneous fixed point*
dc.subject.otherattractor basin*
dc.subject.otherpoint projection*
dc.subject.otherfixed point theorem*
dc.subject.otherconvex constraints*
dc.subject.otherweight function*
dc.subject.otherradius of convergence*
dc.subject.otherFrédholm integral equation*
dc.subject.othersemi-local convergence*
dc.subject.othernonlinear HSS-like method*
dc.subject.otherconvexity*
dc.subject.otheraccretive operators*
dc.subject.otherNewton-type methods*
dc.subject.othermultipoint iterations*
dc.subject.otherbanach space*
dc.subject.otherKantorovich hypothesis*
dc.subject.othervariational inequality problem*
dc.subject.otherNewton method*
dc.subject.othersemilocal convergence*
dc.subject.otherleast square problem*
dc.subject.otherFréchet derivative*
dc.subject.otherNewton’s method*
dc.subject.otheriterative process*
dc.subject.otherNewton-like method*
dc.subject.otherBanach space*
dc.subject.othersixteenth-order optimal convergence*
dc.subject.othernonlinear systems*
dc.subject.otherChebyshev–Halley-type*
dc.subject.otherJarratt method*
dc.subject.otheriteration scheme*
dc.subject.otherNewton’s iterative method*
dc.subject.otherbasins of attraction*
dc.subject.otherdrazin inverse*
dc.subject.otheroption pricing*
dc.subject.otherhigher order of convergence*
dc.subject.othernon-linear equation*
dc.subject.othernumerical experiment*
dc.subject.othersignal processing*
dc.subject.otheroptimal methods*
dc.subject.otherrate of convergence*
dc.subject.othern-dimensional Euclidean space*
dc.subject.othernon-differentiable operator*
dc.subject.otherprojection method*
dc.subject.otherNewton’s second order method*
dc.subject.otherintersection*
dc.subject.otherplanar algebraic curve*
dc.subject.otherHilbert space*
dc.subject.otherconjugate gradient method*
dc.subject.othersixteenth order convergence method*
dc.subject.otherPadé approximation*
dc.subject.otheroptimal iterative methods*
dc.subject.othererror bound*
dc.subject.otherhigh order*
dc.subject.otherFredholm integral equation*
dc.subject.otherglobal convergence*
dc.subject.otheriterative method*
dc.subject.otherintegral equation*
dc.subject.other?-continuity condition*
dc.subject.othersystems of nonlinear equations*
dc.subject.othergeneralized inverse*
dc.subject.otherlocal convergence*
dc.subject.otheriterative methods*
dc.subject.othermulti-valued quasi-nonexpasive mappings*
dc.subject.otherR-order*
dc.subject.otherfinite difference (FD)*
dc.subject.othernonlinear operator equation*
dc.subject.otherbasin of attraction*
dc.subject.otherPDE*
dc.subject.otherKing’s family*
dc.subject.otherSteffensen’s method*
dc.subject.othernonlinear monotone equations*
dc.subject.otherPicard-HSS method*
dc.subject.othernonlinear models*
dc.subject.otherthe improved curvature circle algorithm*
dc.subject.othersplit variational inclusion problem*
dc.subject.othercomputational order of convergence*
dc.subject.otherwith memory*
dc.subject.othermultipoint iterative methods*
dc.subject.otherKung–Traub conjecture*
dc.subject.othermultiple zeros*
dc.subject.otherfourth order iterative methods*
dc.subject.otherparametric curve*
dc.subject.otheroptimal order*
dc.subject.othernonlinear equation*
dc.titleIterative Methods for Solving Nonlinear Equations and Systems*
dc.typebook
oapen.identifier.doi10.3390/books978-3-03921-941-4*
oapen.relation.isPublishedBy46cabcaa-dd94-4bfe-87b4-55023c1b36d0*
oapen.relation.isbn9783039219414*
oapen.relation.isbn9783039219407*
oapen.pages494*
oapen.edition1st*


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