Results 251 to 260 of about 9,925,195 (289)
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OnQ-order andR-order of convergence
Journal of Optimization Theory and Applications, 1989We give sufficient conditions for a sequence to have the Q-order and/or the R-order of convergence greater than one. If an additional condition is satisfied, then the sequence has an exact Q-order of convergence. We show that our results are sharp and we compare them with older results.
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Positivity, 2005
The article is a joint paper of the author and the late Professor Yuri Abramovich (1945--2003). It contains mainly a few short but nice methodological remarks about slight inaccuracies in defining order convergent nets. The author proves that these inaccuracies are immaterial for positive linear operators in Riesz spaces.
Yuri Abramovich, Gleb Sirotkin
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The article is a joint paper of the author and the late Professor Yuri Abramovich (1945--2003). It contains mainly a few short but nice methodological remarks about slight inaccuracies in defining order convergent nets. The author proves that these inaccuracies are immaterial for positive linear operators in Riesz spaces.
Yuri Abramovich, Gleb Sirotkin
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A Note on Q-order of Convergence
BIT Numerical Mathematics, 2001By means of a slight weakening of the concept of \(Q\)-order of convergence, see for example \textit{J. M. Ortega} and \textit{W. C. Rheinboldt} [Iterative solution of nonlinear equations in several variables (2000; Zbl 0949.65053)], the author introduces and studies the notions of \(Q\)-superorder and \(Q\)-suborder of convergence of a sequence in a ...
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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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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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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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