Keywords: 49D15; 65G19; 47H17; 65H10; Banach space; Frozen Newton-like method; Local and semi-local convergence; Generalized Lipschitz conditions;
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Keywords: Systems of nonlinear equations; Quasi-Newton methods; Multipoint secant methods; Interpolation methods; Global convergence; Superlinear convergence; 65H10; 65H20; 65K05;
Keywords: Systems of nonlinear equations; Modified Newton method; Order of convergence; Higher order methods; Computational efficiency; 41A25; 65H10; 65Y04;
Keywords: 47H99; 65H10; 65J15; Newton's method; Restricted domain; Majorizing sequence; Semilocal convergence; Error estimates; Integral equation;
Keywords: 47H99; 65H10; 65J15; Newton's method; Semilocal convergence; Majorizing sequence; Error estimates; Region of accessibility; Integral equation;
Keywords: 47H99; 65H10; Iterative method; Local convergence; Non-differentiable operator; Dynamics; Steffensen's method;
Keywords: 65H10; 90C53; Nonlinear equations; New quasi-Newton equation; Modified quasi-Newton method; Local superlinear convergence;
Keywords: 15A48; 15A69; 65F10; 65H10; Inverse of a tensor; Tensor splitting; Strong M-tensor; Multi-linear systems; Tensor splitting algorithms;
Keywords: 65H10; 60J60; 60J27; 60J22; Explicit scheme; Switching diffusion systems; Local Lipschitz condition; Strong convergence; Stability; Invariant measure;
Keywords: Non-differentiable operator; The Kurchatov method; Local convergence; 47H99; 65H10; 65J15;
Keywords: 65H10; 68W30; 14Q99; Witness set; Generic point; Homotopy continuation; Cascade homotopy; Irreducible component; Multiplicity; Numerical algebraic geometry; Polynomial system; Numerical irreducible decomposition; Primary decomposition; Algebraic set; Alge
Keywords: 65H10; 65M99; 35C99; 35C07; 76B25; Nonlinear dispersive equations; Periodic traveling waves; Iterative methods for nonlinear systems; Petviashvili type methods; Fractional KdV equation; e-Boussinesq system;
Keywords: System of nonlinear equations; Divided difference operator; Fréchet; With memory; Discretization of differential equations; 65H10; 65Y20;
Keywords: primary; 65H10; secondary; 13P05; 14Q99; 68W30; Tensor rank; Homotopy continuation; Numerical elimination theory; Numerical algebraic geometry; Joins; Secant varieties;
Keywords: Quadratic matrix equation; M-matrix; Fixed-point iteration; Bernoulli's method; Diagonal update method; 65H10;
Keywords: 90C33; 65H10; 65K05; Nonlinear complementarity problem; Matrix splitting; Convergence;
Keywords: 34B15; 45J15; 47H10; 65L12; 65D32; 65H10; 65N22Nonlocal problems; Integro-differential boundary value problems; Finite differences methods; Nonlocal algebraic systems; Iterative methods for solving nonlocal systems
Keywords: 94A12; 42B10; 65D20; 65H10; 41A63Polygonal shape reconstruction; Sparse Fourier reconstruction; Prony method; Unit-height polygons
Keywords: 65L10; 65L12; 65H10; 65H20Boundary-value problems; Neumann boundary conditions; Newton’s method; Newton–Mysovskikh’s theorem; Mesh-independence principle; Complete cubic splines
Keywords: Systems of nonlinear equations; Modified Newton method; Order of convergence; Higher order methods; Computational efficiency41A25; 65H10; 65Y04
Keywords: Absolute value equation; Generalized Newton method; Homotopy perturbation method; The successive linearization algorithm; Singular values15A06; 65H10; 90C33
Keywords: 65J15; 65G99; 65H10; Newton-Kantorovich method; Convergence domain; Analytic operator;
Keywords: 65H10; 90C15; 90C33; 90C51Stochastic generalized Nash equilibrium problem; Sample average approximation method; Interior point method
Keywords: primary; 58C30; secondary; 65H10; Fixed point; Continuation method; Surjective implicit function theorem; C1-homotopy; Proper mapping; Compact mapping; Condensing mapping; Fredholm mapping;
Keywords: 65H10; 65J15; 47H17Nonlinear equation; Iterative process; The convergence order; Radius of convergence; Nondifferentiable operator; Generalized Lipschitz condition
Keywords: 41A25; 65H10; Order of convergence; Nonlinear equations; Iterative methods; Efficiency;
Keywords: 65H05; 65H10; 37F10Nonlinear equations; Iterative methods; Dynamical behavior; Quadratic polynomials; Fatou and Julia sets; Ostrowski–Chun family
Waring decompositions and identifiability via Bertini and Macaulay2 software
Keywords: 15A69; 14P05; 14Q99; 13P05; 65H10; Waring decomposition; Complex identifiability; Real identifiability; Numerical algebraic geometry; Hessian criterion;
Solving separable nonlinear least squares problems using the QR factorization
Keywords: 65H10; Separable equations; Nonlinear least squares; QR factorization; Newton's method; Gauss-Newton method; Quadratic convergence;
Improved Kansa RBF method for the solution of nonlinear boundary value problems
Keywords: Radial basis functions; Kansa method; Collocation; 65N35; 65H10;
A note on “Convergence radius of Osada's method under Hölder continuous condition”
Keywords: Nonlinear equations; Iterative methods; Multiple roots; Local convergence; Dynamics; 65H05; 65H10;
On the local convergence study for an efficient k-step iterative method
Keywords: 47H99; 65H10; Nonlinear equations; Iterative methods; Local convergence; Order of convergence; Efficiency;
The method of Gauss-Newton to compute power series solutions of polynomial homotopies
Keywords: 65H10; Linearization; Gauss-Newton; Hermite interpolation; Polynomial homotopy; Power series; Puiseux series;
SOR-like iteration method for solving absolute value equations
Keywords: Absolute value equations; SOR-like method; Matrix splitting; Convergence analysis; 65F10; 65H10;
The positive definite solution of the nonlinear matrix equation Xp=A+M(B+Xâ1)â1Mâ
Keywords: 15A24; 65F10; 65H10; Matrix equation; Hermitian positive definite; Fixed-point iteration; Inversion-free variant iteration;
On the construction of Lyapunov functions with computer assistance
Keywords: 34D05; 37B25; 65H10; Lyapunov functions; Computer-assisted proof and construction;
Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition
Keywords: Nonlinear equations; Local convergence; Semilocal convergence; Banach space; Hammerstein integral equation; Hölder condition; 65H10; 47H99;
On the Kurchatov method for solving equations under weak conditions
Keywords: Kurchatov method; Newton’s method; Banach space; Local-semilocal convergence; Divided difference65D10; 65D99; 65G99; 65J15; 65H10
Numerically deciding the arithmetically Cohen-Macaulayness of a projective scheme
Keywords: primary; 65H10; secondary; 14Q05; 14Q15; Numerical algebraic geometry; Witness set; Arithmetically Cohen-Macaulay; Castelnuovo-Mumford regularity; Arithmetic genus;
On Lipschitz analysis and Lipschitz synthesis for the phase retrieval problem
Keywords: 15A29; 65H10; 90C26Frames; Lipschitz maps; Stability; Phase retrieval
Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure
Keywords: Nonlinear system; Optimal order; Weight function procedure; Divided difference operator; Efficiency index65H05; 65H10
On modified HSS iteration methods for continuous Sylvester equations
Keywords: Continuous Sylvester equation; MHSS iteration method; Inexact iteration; Convergence15A24; 15A30; 15A69; 65F10; 65F30; 65F50; 65H10
An analysis of the semilocal convergence for secant-like methods
Keywords: Nonlinear equation; Secant-like methods; Semilocal convergence; Domain of parameters; Integral equation of Hammerstein47H99; 65H10; 65J15
The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations
Keywords: Generalized coupled Sylvester-conjugate matrix equation; GPBiCG method; Kronecker product; Vectorization operator; Numerical experiments15A24; 65H10; 65F10; 65F30
On the convergence of efficient King-Werner-type methods of order 1+2
Keywords: 65G99; 65H10; 65J15; 47H17; 49M15; King's method; Werner's method; Banach space; Local-semilocal convergence analysis; Fréchet-derivative; Efficiency index;
Expanding the applicability of the Secant method under weaker conditions
Keywords: Secant method; Banach space; Majorizing sequence; Divided difference; Local convergence; Semilocal convergence; 65H10; 65G99; 65B05; 65N30; 47H17; 49M15;
Perturbation analysis of the extinction probability of a Markovian binary tree
Keywords: 65H10; 15A12Perturbation analysis; Markovian binary tree; Quadratic vector equation; Minimal nonnegative solution
Convergence analysis for Kaczmarz-type methods in a Hilbert space framework
Keywords: 65F10; 65F08; 65N22; 65H10; Subspace correction; Alternating directions method; POCS algorithms; Gauss-Seidel iteration; Randomized; Condition number; Least-squares problems;
A bootstrapping approach for computing multiple solutions of differential equations
Keywords: 65N55; 65M22; 65H10; 65L10Domain decomposition; Homotopy continuation; Differential equations; Multiple solutions; Numerical algebraic geometry
A modified general modulus-based matrix splitting method for linear complementarity problems of H-matrices
Keywords: 65F10; 65F15; 65H10; 65L15Linear complementarity problem; Modulus-based iteration method; H-matrix