AbstractRecent results on optimal extrapolations of first-order stationary iterations have shown that they are necessarily divergent in a wide class of problems. This paper examines a second-order iterative process which is guaranteed to converge — in particular when applied to the solution of an arbitrary equation system. A general convergence theory for semi-iterative techniques is established at the same time
In this work we introduce a technique for solving nonlinear systems that improves the order of conve...
Extrapolation methods to accelerate convergence of a sequence of iterates are in-vestigated. A trans...
Projet PROMATHThis paper presents some new results in the theory of Newton type methods for variatio...
AbstractThis paper describes a way of approximating the optimal extrapolation of iterative technique...
The optimum linear stationary second-degree iterative method for solving linear systems of equations...
Recent results in local convergence and semi-local convergence analysis constitute a natural framewo...
AbstractThis paper describes a way of approximating the optimal extrapolation of iterative technique...
AbstractThis note investigates the convergence of a linear stationary iterative process of the form ...
The study of iterative methods began several years ago in order to find the solutions of problems wh...
Numerous three-step methods of high convergence order have been developed to produce sequences appro...
The basic theory of stationary second-degree iterative methods is presented from the point of view o...
The convergence analysis on the general iterative methods for the symmetric and positive semidefinit...
Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, an...
The family of fourth-order Steffensen-type methods proposed by Zheng et al. (Appl. Math. Comput. 217...
The family of fourth-order Steffensen-type methods proposed by Zheng et al. (Appl. Math. Comput. 217...
In this work we introduce a technique for solving nonlinear systems that improves the order of conve...
Extrapolation methods to accelerate convergence of a sequence of iterates are in-vestigated. A trans...
Projet PROMATHThis paper presents some new results in the theory of Newton type methods for variatio...
AbstractThis paper describes a way of approximating the optimal extrapolation of iterative technique...
The optimum linear stationary second-degree iterative method for solving linear systems of equations...
Recent results in local convergence and semi-local convergence analysis constitute a natural framewo...
AbstractThis paper describes a way of approximating the optimal extrapolation of iterative technique...
AbstractThis note investigates the convergence of a linear stationary iterative process of the form ...
The study of iterative methods began several years ago in order to find the solutions of problems wh...
Numerous three-step methods of high convergence order have been developed to produce sequences appro...
The basic theory of stationary second-degree iterative methods is presented from the point of view o...
The convergence analysis on the general iterative methods for the symmetric and positive semidefinit...
Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, an...
The family of fourth-order Steffensen-type methods proposed by Zheng et al. (Appl. Math. Comput. 217...
The family of fourth-order Steffensen-type methods proposed by Zheng et al. (Appl. Math. Comput. 217...
In this work we introduce a technique for solving nonlinear systems that improves the order of conve...
Extrapolation methods to accelerate convergence of a sequence of iterates are in-vestigated. A trans...
Projet PROMATHThis paper presents some new results in the theory of Newton type methods for variatio...