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. Two iterative methods for the simultaneous inclusion of complex zeros of a polynomial are presented. Both methods are realized in circular interval arithmetic and do not use polynomial derivatives. The first method of the fourth order is composed as a combination of interval methods with the order of convergence two and three. The second method is constructed using double application of the inclusion...
We perform a convergence analysis of simulated annealing-based search for the special case of logarithmic cooling schedules. Emphasis is put on the impact of structural parameters of the underlying configuration space on the number of transitions k≥L that is sufficient to achieve a certain probability (confidence 1−δ) of being in an optimum configuration. Since such a lower bound L of the transition...
In this paper, we introduce and analyze a modification of the Hermitian and skew-Hermitian splitting iteration method for solving a broad class of complex symmetric linear systems. We show that the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method is unconditionally convergent. Each iteration of this method requires the solution of two linear systems with real symmetric positive...
On the basis of overlapping domain decomposition, we construct a parallel least-square finite element algorithm (PLS) for solving the first-order time-dependent convection–diffusion system. The algorithm is fully parallel. At each time step, only one or two iterations are needed to reach to given accuracy. Some numerical results are reported to confirm the theoretical results.
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