Keywords: همگرایی Semilocal; 47H99; 65H10; 65J15; Newton's method; Restricted domain; Majorizing sequence; Semilocal convergence; Error estimates; Integral equation;
مقالات ISI همگرایی Semilocal (ترجمه نشده)
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Keywords: همگرایی Semilocal; 47H99; 65H10; 65J15; Newton's method; Semilocal convergence; Majorizing sequence; Error estimates; Region of accessibility; Integral equation;
Keywords: همگرایی Semilocal; 65H04; 12Y05; Simultaneous methods; Polynomial zeros; Local convergence; Semilocal convergence; Error estimates; Cone metric space;
Keywords: همگرایی Semilocal; Banach space; Newton-like methods; Semilocal convergence; Twice Fréchet differentiable operator; Lipschitz constant65J15; 65G99
Keywords: همگرایی Semilocal; Iterative methods; Simultaneous methods; Initial conditions; Polynomial zeros; Local convergence; Semilocal convergence;
Keywords: همگرایی Semilocal; Simultaneous methods; Weierstrass method; Accelerated convergence; Local convergence; Semilocal convergence; Error estimates65H04; 12Y05
Keywords: همگرایی Semilocal; Newton’s method; Semilocal convergence; Recurrence relations; Domain of parameters
Keywords: همگرایی Semilocal; Fredholm-type operator equation; Kantorovich theorem; Newton-like method; Picard iteration; Region of accessibility; Semilocal convergence
Keywords: همگرایی Semilocal; Third-order iterative methods; Riemannian manifolds; Semilocal convergence;
Keywords: همگرایی Semilocal; Newton’s method; Semilocal convergence; The Newton–Kantorovich theorem; Majorizing sequence; A priori error estimates; Conservative problem
Keywords: همگرایی Semilocal; Two-step Newton method; Banach space; Kantorovich hypothesis; Majorizing sequence; Local convergence; Semilocal convergence
Keywords: همگرایی Semilocal; Third-order iterative methods; Riemannian manifolds; Kantorovich conditions; Semilocal convergence; Order of convergence;
Semilocal convergence of a Secant-type method under weak Lipschitz conditions in Banach spaces
Keywords: همگرایی Semilocal; 47H17; 65J15; Semilocal convergence; Double step Secant method; Divided differences; Majorizing sequences; Error bounds; Efficiency index;
Unifying semilocal and local convergence of Newton's method on Banach space with a convergence structure
Keywords: همگرایی Semilocal; Banach space with a convergence structure; Semilocal convergence; Local convergence; Newton's method;
Semilocal convergence analysis on the modifications for Chebyshev–Halley methods under generalized condition
Keywords: همگرایی Semilocal; Semilocal convergence; Nonlinear equation in Banach space; Lipschitz continuity; Chebyshev–Halley methods; Generalized condition
Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition
Keywords: همگرایی Semilocal; Nonlinear equations; Local convergence; Semilocal convergence; Banach space; Hammerstein integral equation; Hölder condition; 65H10; 47H99;
A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich’s and Dochev–Byrnev’s methods
Keywords: همگرایی Semilocal; Simultaneous methods; Polynomial zeros; Semilocal convergence; Error estimates; Ehrlich method; Dochev–Byrnev method65H04; 12Y05
Newton’s method on generalized Banach spaces
Keywords: همگرایی Semilocal; Generalized Banach space; Newton’s method; Semilocal convergence; Local convergence
On an efficient kk-step iterative method for nonlinear equations
Keywords: همگرایی Semilocal; 47H99; 65H10Nonlinear equations; Iterative methods; Efficiency; Order of convergence; Dynamics; Semilocal convergence
A Steffensen type method of two steps in Banach spaces with applications
Keywords: همگرایی Semilocal; 47H99; 65J15Nonlinear equations in Banach spaces; Steffensen’s method; Semilocal convergence; Recurrence relations; Region of accessibility; Domain of parameters
Enlarging the domain of starting points for Newton’s method under center conditions on the first Fréchet-derivative
Keywords: همگرایی Semilocal; Newton’s method; Semilocal convergence; Recurrence relations; Domain of parameters; Nonlinear system
Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces
Keywords: همگرایی Semilocal; Nonlinear systems; Iterative methods; Semilocal convergence; Recurrence relations; Convergence domain; Efficiency index
On the convergence of inexact two-point Newton-like methods on Banach spaces
Keywords: همگرایی Semilocal; Inexact Newton-like methods; Banach space; Local convergence; Semilocal convergence; Divided difference of order one; Univariate unconstrained optimization65D10; 65D99; 65G99; 90C30
An analysis of the semilocal convergence for secant-like methods
Keywords: همگرایی Semilocal; Nonlinear equation; Secant-like methods; Semilocal convergence; Domain of parameters; Integral equation of Hammerstein47H99; 65H10; 65J15
Extending the convergence domain of the Secant and Moser method in Banach Space
Keywords: همگرایی Semilocal; 65J15; 47H17Newton’s method; Secant method; Moser method; Semilocal convergence; Recurrent relations; Banach space
Expanding the applicability of the Secant method under weaker conditions
Keywords: همگرایی Semilocal; Secant method; Banach space; Majorizing sequence; Divided difference; Local convergence; Semilocal convergence; 65H10; 65G99; 65B05; 65N30; 47H17; 49M15;
Weak convergence conditions for the Newton’s method in Banach space using general majorizing sequences
Keywords: همگرایی Semilocal; Newton’s method; Banach space; Semilocal convergence; Recurrent functions; Majorizing sequence65K10; 65G99; 49M15
Center conditions on high order derivatives in the semilocal convergence of Newton’s method
Keywords: همگرایی Semilocal; Newton’s method; Semilocal convergence; The Newton–Kantorovich theorem; Majorizing sequence; Error estimates; Boundary value problem
On the convergence of Broyden’s method in Hilbert spaces
Keywords: همگرایی Semilocal; Broyden’s method; Hilbert space; Semilocal convergence; Majorizing sequence; Divided differences; Inverse free method
Increasing the applicability of Steffensen's method
Keywords: همگرایی Semilocal; Nonlinear system of equations; Steffensen's method; Semilocal convergence; Domain of parameters
Extending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces
Keywords: همگرایی Semilocal; Newton's method; Semilocal convergence; The Newton-Kantorovich theorem; Majorizing sequence; A priori error estimates; Hammerstein integral equation;
Optimizing the applicability of a theorem by F. Potra for Newton-like methods
Keywords: همگرایی Semilocal; Newton-like method; Banach space; Semilocal convergence; Majorizing sequence; Divided difference; Fréchet-derivative;
Semilocal convergence of Chebyshev-like root-finding method for simultaneous approximation of polynomial zeros
Keywords: همگرایی Semilocal; Chebyshev-like method; Simultaneous methods; Polynomial zeros; Semilocal convergence; Error estimates; Location of zeros
Weaker Kantorovich type criteria for inexact Newton methods
Keywords: همگرایی Semilocal; 65H10; 65J20; 65G99; 65B05; 65N30Inexact Newton method; Banach space; Kantorovich-theory; Semilocal convergence; Fréchet derivative; Center-Lipschitz condition
A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously
Keywords: همگرایی Semilocal; Simultaneous methods; Weierstrass method; Polynomial zeros; Normed fields; Semilocal convergence; Error estimates
On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
Keywords: همگرایی Semilocal; Newton's method; Newton-Kantorovich theorem; Semilocal convergence; Majorizing sequences;
On a two-step relaxed Newton-type method
Keywords: همگرایی Semilocal; Newton type methods; Semilocal convergence; Divided differences
Convergence of an iterative method for solving a class of nonlinear equations
Keywords: همگرایی Semilocal; Nonlinear equations; Semilocal convergence; Two-phase flow
On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
Keywords: همگرایی Semilocal; 65J15; 65G99; 47H99; 49M15Banach space; Semilocal convergence; Newton-like method; Chebyshev’s method; Secant method; Newton’s method
A modification of the classic conditions of Newton–Kantorovich for Newton’s method
Keywords: همگرایی Semilocal; Newton’s method; Kantorovich’s technique; Semilocal convergence; Majorizing sequence; A priori error estimates; Hammerstein integral equation
On Steffensen’s method on Banach spaces
Keywords: همگرایی Semilocal; 47H99; 65J15Nonlinear equations in Banach spaces; Steffensen’s method; Modified Newton’s method; Semilocal convergence; Majorant principle; Region of accessibility
On a bilinear operator free third order method on Riemannian manifolds
Keywords: همگرایی Semilocal; Bilinear operator; Third iterative methods; Riemannian manifolds; Semilocal convergence; Divided difference of order one; Generalized Lipschitz condition;
On the Secant method
Keywords: همگرایی Semilocal; Secant method; Newton’s method; Banach space; Semilocal convergence; Majorizing sequence; Divided difference
A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
Keywords: همگرایی Semilocal; Hammerstein's equation; Bratu's equation; Newton's method; Kantorovich's theorem; Semilocal convergence; Majorizing sequence;
New conditions for the convergence of Newton-like methods and applications
Keywords: همگرایی Semilocal; Newton-like method; Banach space; Lipschitz condition; Majorizing sequences; Semilocal convergence
Majorizing sequences for Newton’s method from initial value problems
Keywords: همگرایی Semilocal; 45G10; 47H99; 65J15Newton’s method; Semilocal convergence; Majorizing sequence; Order of convergence; Kantorovich’s technique; Bratu’s equation
An Ulm-type method with RR-order of convergence three
Keywords: همگرایی Semilocal; Nonlinear equations in Banach spaces; Iterative method; Efficiency index; Computational efficiency; Semilocal convergence; A priori error estimates; Order of convergence; Region of accessibility; Boundary value problem
Improving the domain of starting points for secant-like methods
Keywords: همگرایی Semilocal; Nonlinear equations in Banach spaces; Simplified secant method; Secant-like methods; Semilocal convergence; Decreasing region; Accessibility region;
On the semilocal convergence of damped Newton's method
Keywords: همگرایی Semilocal; Damped Newton's method; Banach space; Semilocal convergence; Convergence domain;
Third-order iterative methods with applications to Hammerstein equations: A unified approach
Keywords: همگرایی Semilocal; 65F15; 65J15; 65H05Iterative methods; Semilocal convergence; Cubic convergence; Hammerstein equations