Tijdeman's Iterative Algorithm
A. H. Osbaldestin, P. Shiu (1991)
Publications de l'Institut Mathématique
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A. H. Osbaldestin, P. Shiu (1991)
Publications de l'Institut Mathématique
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Jakub Kierzkowski (2015)
Open Mathematics
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We present new iterative methods for solving the Sylvester equation belonging to the class of SOR-like methods, based on the SOR (Successive Over-Relaxation) method for solving linear systems. We discuss convergence characteristics of the methods. Numerical experimentation results are included, illustrating the theoretical results and some other noteworthy properties of the Methods.
Roland Becker, Shipeng Mao (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
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We prove convergence and quasi-optimal complexity of an adaptive finite element algorithm on triangular meshes with standard mesh refinement. Our algorithm is based on an adaptive marking strategy. In each iteration, a simple edge estimator is compared to an oscillation term and the marking of cells for refinement is done according to the dominant contribution only. In addition, we introduce an adaptive stopping criterion for iterative solution which compares an estimator for the iteration...
D.J. Rose, P.J. Lanzkron, D.B. Szyld (1990/91)
Numerische Mathematik
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Douglas James, Robert J. Plemmons (1990)
Numerische Mathematik
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Petr Vaněk (1995)
Applications of Mathematics
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In this paper a black-box solver based on combining the unknowns aggregation with smoothing is suggested. Convergence is improved by overcorrection. Numerical experiments demonstrate the efficiency.
Juergen Gerlach, Ronald Guenther (1987)
Numerische Mathematik
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Roman Knobloch, Jaroslav Mlýnek, Radek Srb (2017)
Applications of Mathematics
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Differential evolution algorithms represent an up to date and efficient way of solving complicated optimization tasks. In this article we concentrate on the ability of the differential evolution algorithms to attain the global minimum of the cost function. We demonstrate that although often declared as a global optimizer the classic differential evolution algorithm does not in general guarantee the convergence to the global minimum. To improve this weakness we design a simple modification...
Ilić, Snežana, Petković, Miodrag S., Herceg, Djordje (1996)
Novi Sad Journal of Mathematics
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Claudia Comi, Giulio Maier (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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For a class of elastic-plastic constitutive laws with nonlinear kinematic and isotropic hardening, the problem of determining the response to a finite load step is formulated according to an implicit backward difference scheme (stepwise holonomic formulation), with reference to discrete structural models. This problem is shown to be amenable to a nonlinear mathematical programming problem and a criterion is derived which guarantees monotonie convergence of an iterative algorithm for...