Keywords: Iterative methods; Order of convergence; Systems of equations; 65H05; 65B99;
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Keywords: 65H05; 65H99; 41A25; 65B99; Multiple-zero finder; Extraneous fixed point; Modified Newton's method; Basins of attraction;
Keywords: 65H05; 65B99; Iterative methods; Order of convergence; Rational maps; Basin of attraction; Conjugacy classes;
Keywords: Parameter space; Möbius map; Dynamical plane; Multiple-zero; Fourth-order; Conjugacy; 65H05; 65H99; 41A25; 65B99;
Keywords: Multiple-zero finder; Extraneous fixed point; Modified Newton's method; Basins of attraction; 65H05; 65H99; 41A25; 65B99;
Keywords: Parameter space; Error corrector; Dynamical plane; King’s fourth-order method65H05; 65H99; 41A25; 65B99
Keywords: Iterative methods; Order of convergence; Basin of attraction; Multiple roots65H05; 65B99
Keywords: Nonlinear equations; Iterative method; Multiple root; Order of convergence; Basins of attraction; 65B99; 65H05;
Keywords: Multiple-zero finder; Extraneous fixed point; Double-Newton; Basins of attraction65H05; 65H99; 41A25; 65B99
Keywords: 60J60; 65B99; 60J35; 47D07Asymptotic variance; Rate of convergence; Diffusion; Acceleration; Markov Chain Monte Carlo
A new accelerating technique applied to a variant of Cordero-Torregrosa method
Keywords: 65H05; 65B99; Iterative method with memory; Self-accelerating parameter; Root-finding; Dynamical behavior;
A study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions
Keywords: 65H05; 65H99; 41A25; 65B99; Parameter space; Möbius map; Dynamical plane; Multiple-zero; Sixth-order; Conjugacy;
An Ostrowski-type method with memory using a novel self-accelerating parameter
Keywords: 65H05; 65B99; Ostrowski's method; Iterative method with memory; Self-accelerating parameter; Root-finding;
On the rediscovery of Halley's iterative method for computing the zero of an analytic function
Keywords: 65-01; 65B99; 65H05; Newton's method; Halley's method; High-order method; Taylor's expansion;
A family of higher order iterations free from second derivative for nonlinear equations in R
Keywords: 65H05; 65B99; Nonlinear equations; Order of convergence; Asymptotic error; Local convergence analysis; Dynamical study;
Comparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order method
Keywords: Iterative methods; Order of convergence; Multiple roots; Basin of attraction; 65H05; 65B99;
Fast computation of Goursat’s infinite integral with very high accuracy
Keywords: 65D32; 65B99; 65Y20; 68W05Numerical quadrature; Multiple-precision computation; Double exponential quadrature method; Computational complexity
Dynamics of a new family of iterative processes for quadratic polynomials
Keywords: 65B99; 65H05; 65P99General convergence; Iterative processes; Julia sets; Order of convergence; Quadratic equation
On computing PageRank via lumping the Google matrix
Keywords: 65B99; 65F10; 65F15; 65F50PageRank; Dangling node; Weakly nondangling node; Power method; Google matrix; Lumping
Newton’s method and high-order algorithms for the nth root computation
Keywords: 65-01; 11B37; 65B99; 65D99; 65H05nnth root; Newton’s method; High-order method
Solution-limited time stepping to enhance reliability in CFD applications
Keywords: 65B99; 76M12Computational fluid dynamics; Numerical methods; Convergence and reliability
Simple geometry facilitates iterative solution of a nonlinear equation via a special transformation to accelerate convergence to third order
Keywords: 37M05; 65B99; 65H05Algebraic equations solvers; Iterative methods; Fixed-point iterations; Simulation; Convergence order; Direct substitution; Partial substitution; Halley's method; Newton's method; Acceleration of iteration
POD acceleration of fully implicit solver for unsteady nonlinear flows and its application on grid architecture
Keywords: 65Y05; 65Y10; 65B99; 68H14; 35K55; 76Parallel computation; Acceleration of convergence; Algorithms for specific class of architecture; Distributed system; Nonlinear PDE of parabolic type; Fluid mechanics
A mode elimination technique to improve convergence of iteration methods for finding solitary waves
Keywords: 35Qxx; 65B99; 65N99; 78A40; 78A99Nonlinear evolution equations; Solitary waves; Iteration methods; Convergence acceleration
A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity
Keywords: 35Qxx; 65B99; 65N99; 78A40; 78A99Petviashvili method; Nonlinear evolution equations; Solitary waves; Iteration methods
Accelerated convergence in Newton's method for approximating square roots
Keywords: 65H05; 65B99; Iterative processes; Newton's method; Square root;
Preconditioning for incompressible flows with free-surfaces and two-fluid interfaces
Keywords: 65B99; 76T10; 76B07; 76D99; Preconditioning; Incompressible flow; Free-surface flow; Interfacial flow; Artificial compressibility; Multigrid;