convergence of iterative methods
Improved the Convergence of Iterative Methods for Solving Systems of Equations by Memetics Techniques
... good convergence of this method, a complete treatment of the subject is made by Golub in [17] and by Manteuffel in ...by iterative methods, an example being the paper ...
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Convergence of iterative methods applied to Burgers-Huxley equation
... The paper is organized as follows. In section 2, the mentioned iterative methods are introduced for solving Eq. (1.1). In section 3 we prove the existence , uniqueness of the solution and convergence ...
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Controlling semi-convergence phenomenon in non-stationary simultaneous iterative methods
... simultaneous iterative methods for solving an ill-posed set of linear equations, the error usually initially de- creases but after some iterations, depending on the amount of noise in the data, and the ...
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Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval
... the iterative methods using for approximation of fixed points of nonlinear mappings, see for instance ...those iterative methods in order to establish which one converges ...of ...
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New family of Two-Parameters Iterative Methods for Non-Linear Equations with Fourth-Order Convergence
... of iterative methods for solving non-linear equations and prove that the order of convergence of these methods is at least ...new methods require two evaluations of the function and two ...
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Convergence Analysis of Some New Preconditioned AOR Iterative Methods for -matrices
... of methods for solving linear systems has important theoretic significance and practical ...AOR iterative methods for solving linear ...the convergence rates of the AOR method with the new ...
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New iterative methods with seventh-order convergence for solving nonlinear equations
... We present some examples to illustrate the efficiency of the iterative algorithm, see Table 1. We compare the Chebyshev method (CM) (see [21]-[22]); the Halley method (HM) (see [21]-[22]); the Newton ...
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A Class of Iterative Methods for Solving Nonlinear Equations with Optimal Fourth order Convergence
... This paper is organized as follows: in section 2, we describe the new third-order iterative method by using the concept of inverse function theorem. In the next section we optimize the method of Chun et. al [4] ...
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Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
... algorithm used a fixed step size and need to know the largest eigenvalues of the operator A ∗ A. Qu and Xiu [] developed a modification of the relaxed CQ algorithm by adopting the Armijo-like search method. There is no ...
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Strong Convergence Theorems of the General Iterative Methods for Nonexpansive Semigroups in Banach Spaces
... hand, iterative approximation methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 9–11 and the references ...
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Convergence analysis of modulus based matrix splitting iterative methods for implicit complementarity problems
... From Method 3.1 or Method 3.2 we can see that the MMS iteration method belongs to a class of inner-outer iteration methods. In general, the convergence rate of inner iteration has great effect on total steps ...
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Convergence analysis of the iterative methods for quasi complementarity problems
... It is obvious dat lemma 3.1 implies that if the convex set involved in both tJe quasi variational inequality and the quasi complementarity problem is a convex cone, then both the problem[r] ...
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Weak and strong convergence of hybrid iterative methods for fixed points of asymptotically nonexpansive mappings
... mappings. Iterative techniques for approximating fixed points of asymptotically nonexpansive mappings have been extensively studied based on the Mann [2] iteration by several authors; see, for example, [3, 4, 5, ...
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Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces
... weak convergence theorem for the alternating method with Bregman distances,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ...
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Descent methods for convex optimization problems in Banach spaces
... standard iterative methods for solving ...strong convergence of their iteration sequences to a solution of the initial problem if the cost function does not possess strengthened convexity properties ...
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The alternate direction iterative methods for generalized saddle point systems
... direction iterative schemes for generalized saddle point systems. Some convergence results are established for these two alternate direction iterative ...direction iterative methods are ...
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Existence and convergence theorems for the new system of generalized mixed variational inequalities in Banach spaces
... two-step iterative methods for solving the system of mixed variational inequalities and proved the convergence of the proposed iterative methods under suitable conditions in Banach ...
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Modified Efficient Families of Two and Three Step Predictor Corrector Iterative Methods for Solving Nonlinear Equations
... based iterative methods with sixth, seventh and eight order of conver- gence for finding simple zeros of nonlinear ...three-step iterative methods consid- ered by Mir and Zaman ...three-step ...
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Strong Convergence Theorems of a New General Iterative Process with Meir-Keeler Contractions for a Countable Family of -Strict Pseudocontractions in -Uniformly Smooth Banach Spaces
... Our iterative scheme studied in present paper can be viewed as a refinement and modification of the iterative methods in 12, 13, 17, ...our iterative schemes concern an infinite countable ...
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ON THE EFFICIENCY OF A FAMILY OF QUADRATURE-BASED METHODS FOR SOLVING NONLINEAR EQUATIONS
... based iterative methods for approximating the solution of nonlinear equations developed in Noor et ...of convergence and the efficiency of the iterative methods at the cost of no ...
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