Keywords: Iterative methods; Order of convergence; Systems of equations; 65H05; 65B99;
مقالات ISI (ترجمه نشده)
مقالات زیر هنوز به فارسی ترجمه نشده اند.
در صورتی که به ترجمه آماده هر یک از مقالات زیر نیاز داشته باشید، می توانید سفارش دهید تا مترجمان با تجربه این مجموعه در اسرع وقت آن را برای شما ترجمه نمایند.
در صورتی که به ترجمه آماده هر یک از مقالات زیر نیاز داشته باشید، می توانید سفارش دهید تا مترجمان با تجربه این مجموعه در اسرع وقت آن را برای شما ترجمه نمایند.
Keywords: 65H05; Nonlinear equation; Newton's method; Fourth order method; Multiple roots; Single roots; Basin of attractions;
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: 65H05; Nonlinear equation; Newton's method; Eighth order methods; Iterative methods; Basins of attraction;
Keywords: 65H05; Iterative methods; Nonlinear equations; Hermite rational interpolation; Divided difference;
Keywords: 65H05; 65H99; Eighth-order convergence; Weight function; Efficiency index; Error equation; Extraneous fixed point; Basin of attraction;
Keywords: Parameter space; Möbius map; Dynamical plane; Multiple-zero; Fourth-order; Conjugacy; 65H05; 65H99; 41A25; 65B99;
Keywords: 65H05; 65H04; 65G30Iterative methods; Simultaneous methods; Zeros of analytic functions; Convergence
Keywords: Iterative methods; Order of convergence; Basin of attraction; Extraneous fixed points; 65H05; 65B99,;
Keywords: 65H05; 65D18; 68W30; 33F05; 65GxxNonlinear equations; Iterative methods; Multiple zeros; Symbolic calculation; Computer graphics
Keywords: Multiple-zero finder; Extraneous fixed point; Modified Newton's method; Basins of attraction; 65H05; 65H99; 41A25; 65B99;
Keywords: 65H05; 65H10Nonlinear equations; Newton method; Cycles of period two; Approximate solutions; Iteration function
Keywords: 65H05; 65G20; 30C15Polynomial zeros; Simultaneous methods; Inclusion methods; Convergence conditions; Circular interval arithmetic
Keywords: Nonlinear equations; Iterative method; Multiple root; Order of convergence; Basins of attraction; 65B99; 65H05;
Keywords: 65H05; 65B99Iterative methods; Order of convergence; Rational maps; Basin of attraction; Julia sets; Conjugacy classes
Keywords: 65H05; 65H10; 37F10Nonlinear equations; Iterative methods; Dynamical behavior; Quadratic polynomials; Fatou and Julia sets; Ostrowski–Chun family
A note on determinantal representation of a Schröder-König-like simultaneous method for finding polynomial zeros
Keywords: 65H05; Polynomial zeros; Padé approximation; Simultaneous methods; Determinantal representation; Generalized iterative process;
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;
Traub-Gander's family for the simultaneous determination of multiple zeros of polynomials
Keywords: 65H05; Polynomial zeros; Multiple zeros; Simultaneous methods; Convergence; Iterative process;
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 global convergence of Schröder's iterative formulae for real roots of algebraic equations
Keywords: 65H04; 65H05; Root finding; Nonlinear equation; Schröder's method; Global and monotonic convergence; Polynomial real zeros;
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;
An accelerated technique for solving one type of discrete-time algebraic Riccati equations
Keywords: 39B12; 39B42; 47J22; 65H05; 15A24; Algebraic Riccati equations; Sherman morrison woodbury formula; Positive definite solution; Semigroup property; Doubling algorithm; r-superlinear with order r;
Study of iterative methods through the Cayley Quadratic Test
Keywords: 65H05; 65D05; 41A25; 65B10Iterative method; Order of convergence; Cayley Quadratic Test; Stability; Dynamical plane
On positive definite solutions of the nonlinear matrix equations X±A*XqA=QX±A*XqA=Q
Keywords: Nonlinear matrix equations; Positive definite solution; Iterative methods15A24; 65H05; 65F35
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;
On generalized biparametric multipoint root finding methods with memory
Keywords: 65H05; Nonlinear equations; Root-finders; Multipoint methods; Convergence acceleration; Computational efficiency;
Solving nonsmooth equations using family of derivative-free optimal methods
Keywords: 41A25; 65H05; 65K05Nonlinear equations; Convergence analysis; Nonsmooth equations; Iterative methods; Derivative-free methods; Optimal order of convergence
On a numerical technique for finding multiple zeros and its dynamic
Keywords: 65H05; 37F10; 41A25Basins of attraction; Fractal; Multiplicity; Numerical solution; Dynamic
Some optimal iterative methods and their with memory variants
Keywords: 65H05; 41A25With memory; Weight function; R-order; High precision computing
Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations
Keywords: 65H05; 65H10; 65D05; 41A25Iterative methods; Third order convergence; Chebyshev’s method; Systems of nonlinear equations; Efficiency index
A biparametric family of optimally convergent sixteenth-order multipoint methods with their fourth-step weighting function as a sum of a rational and a generic two-variable function
Keywords: 65H05; 65H99Eighth-order; Sixteenth-order; Optimal order; Biparametric family; Asymptotic error constant; Efficiency index
Perturbation theorems for estimating magnitudes of roots of polynomials
Keywords: 12D10; 26C10; 65H05; 41A60; Roots of polynomials; Perturbation theory;
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 Schröder’s families of root-finding methods
Keywords: 65H05; 65B99Solving nonlinear equations; Iteration methods; Schröder’s methods; Convergence rate; Priority; Historical notes
On equations that are equivalent to the nonlinear matrix equation X+A∗X−αA=QX+A∗X−αA=Q
Keywords: 15A24; 65H05; 65F10Nonlinear matrix equation; Iterative algorithm; Positive definite solution
Improving order and efficiency: Composition with a modified Newton’s method
Keywords: 65H05; 65H10; 41A25Newton method; Nonlinear equations; Iterative methods; Order of convergence; Efficiency
Improved Newton’s method without direct function evaluations
Keywords: 65H05; 65H10Newton’s method; Nonlinear systems; Imprecise function values; Pivot points; Quadratic convergence; Approximated systems
Cubic convergence of parameter-controlled Newton-secant method for multiple zeros
Keywords: 65H05; 65H99Parameter-controlled; Leap-frogging Newton’s method; Multiple zero
Three-step iterative methods with eighth-order convergence for solving nonlinear equations
Keywords: 65H05; 65B99Nonlinear equations; Iterative methods; Newton’s method; King’s methods; Order of convergence
Some modifications of Newton’s method with higher-order convergence for solving nonlinear equations
Keywords: 41A25; 65H05; 65D32Nonlinear equations; Newton’s method; Iterative method; Multi-step iterative method; Order of convergence
The self-validated method for polynomial zeros of high efficiency
Keywords: 65H05; 65G20; 30C15Zeros of polynomials; Simultaneous methods; Inclusion methods; Circular interval arithmetic; Acceleration of convergence; Computational efficiency
A simply constructed third-order modifications of Newton's method
Keywords: 65H05; 65B99Newton's method; Iterative methods; Nonlinear equations; Order of convergence; Chebyshev–Halley methods; Root-finding methods
Some higher-order modifications of Newton’s method for solving nonlinear equations
Keywords: 65H05; 65B99Newton’s method; Modified Newton’s method; Iterative methods; Nonlinear equations; Order of convergence; Root-finding
On the convergence condition of generalized root iterations for the inclusion of polynomial zeros
Keywords: 65H05; 65G20; 30C15Polynomial zeros; Simultaneous methods; Inclusion methods; Convergence conditions; Circular interval arithmetic
On general convergence in extracting radicals via a fundamental family of iteration functions
Keywords: 65D05; 65H05; 65P20; 65S05; 65Y20; 49M15; 40A05; 37F10; 12Y05Root-finding; Newton's method; Iteration functions; Discrete dynamical systems; General convergence