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Concerning Order of Convergence for Subdivision
Numerical Algorithms, 2004The paper deals with order of \(C\)-convergence for subdivision algorithms. The usual definition of \(C\)-convergence leads to approximation properties of the so-called Schoenberg operator, subject that stability of the generators of the underlying shift invariant space assumed. However, this approach does not lead to a satisfying order result for many
CONTI, COSTANZA, K. JETTER
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On the order of convergence of Adomian method
Applied Mathematics and Computation, 2002The authors consider an approximate solution of the equation \(y-N(y)=f\) where \(N\) is a nonlinear operator from a Hilbert space onto itself. They state (without proof) that the Adomian decomposition method for the above equation is equivalent to solving the equation \(S=N(y_0+S)\) by iteration, \(S_{n+1}=N(y_0+S_n)\), and obtain the order of ...
Esmail Babolian, Jafar Biazar
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Order Convergence and Order Topology on a Poset
International Journal of Theoretical Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Compactification for Convergence Ordered Spaces
Canadian Mathematical Bulletin, 1984AbstractCompactifications are constructed for convergence ordered spaces and topological ordered spaces with extension properties that resemble those of the Stone-Čech compactification.
Kent, D. C., Richardson, G. D.
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Absolute Convergence in Ordered Fields
The American Mathematical Monthly, 2014We explore the distinction between convergence and absolute convergence of se- ries in both Archimedean and non-Archimedean ordered fields and find that the relationship between them is closely connected to sequential (Cauchy) completeness.
Pete L. Clark, Niels J. Diepeveen
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A survey on the high convergence orders and computational convergence orders of sequences
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Orders of convergence for superlineary convergent chaotic iterations
Computing, 1991If on computers with multiprocessors individual processors are allowed to proceed without waiting for each other it is natural to consider so- called chaotic iterations for computations on such computers. The author proves a theorem giving conditions for superlinear convergence of chaotic iterations in an appropriate setting.
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On the convergence of bivariate order statistics: Almost sure convergence and convergence rate
Journal of Computational and Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anshui Li, Yuanyuan Wang, Minzhi Zhao
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Orders of Convergence for Iterative Procedures
SIAM Journal on Numerical Analysis, 1971This paper is concerned with the order of convergence of iterative procedures for finding a zero of a nonlinear function defined on $R^n $. Some of the results provide conditions for determining the precise order of convergence of a method rather than the usual lower bound on the order.
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On the Convergence of the Jacobi Method for Arbitrary Orderings
SIAM Journal on Matrix Analysis and Applications, 1995Some new results concerning the effect of the ordering on the rate of convergence of the Jacobi iteration for computing eigenvalues of symmetric matrices are presented. Section 2 shows that the diagonal elements converge for any ordering. The basic fact that different parts of the matrix converge at different speeds is developed and a strategy that ...
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