In this paper, a generalized E-transformation arising from the study of a generalization of sequence transformations and triangular recursion schemes is proposed. Three new algorithms, namely, the generalized E-algori...
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In this paper, a generalized E-transformation arising from the study of a generalization of sequence transformations and triangular recursion schemes is proposed. Three new algorithms, namely, the generalized E-algorithm, the generalized FS-algorithm and the generalized hungry type E-algorithm, are constructed for implementing the generalization of the E-transformation. Some convergence results of the generalized E-algorithm are obtained. In addition, some particular cases of the generalized E-transformation and the recursive algorithms for their computation are also studied.
The convergence of fast probabilistic modelingalgorithms (g-algorithms) is analyzed. A g-algorithm is modified based on a new probabilistic approach, used to reject points in the neighborhood of the current solution....
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The convergence of fast probabilistic modelingalgorithms (g-algorithms) is analyzed. A g-algorithm is modified based on a new probabilistic approach, used to reject points in the neighborhood of the current solution. A theoretically justified estimate of the rate of convergence, independent of the initial approximation, is obtained for this modification. A computational experiment is conducted to compare the performance of the modified g-algorithm with that of the classical one.
In this paper, a generalization of the g-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the related generalization of the rs-algorithm is equivalent ...
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In this paper, a generalization of the g-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the related generalization of the rs-algorithm is equivalent to a generalized qd-algorithm. Applications of the generalization of the g-transformation to the computation of infinite integrals are also given. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
In this paper, a generalization of the g-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the related generalization of the rs-algorithm is equivalent ...
详细信息
In this paper, a generalization of the g-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the related generalization of the rs-algorithm is equivalent to a generalized qd-algorithm. Applications of the generalization of the g-transformation to the computation of infinite integrals are also given. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
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