On an accelerated procedure of extrapolation.
Yeyios, A. (1981)
International Journal of Mathematics and Mathematical Sciences
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Yeyios, A. (1981)
International Journal of Mathematics and Mathematical Sciences
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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.
Jan Zítko (1998)
Applications of Mathematics
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In this paper, our attention is concentrated on the GMRES method for the solution of the system of linear algebraic equations with a nonsymmetric matrix. We perform pre-iterations before starting GMRES and put for the initial approximation in GMRES. We derive an upper estimate for the norm of the error vector in dependence on the th powers of eigenvalues of the matrix . Further we study under what eigenvalues lay-out this upper estimate is the best one. The estimate shows and...
Missirlis, N.M., Evans, D.J. (1984)
International Journal of Mathematics and Mathematical Sciences
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László, Lajos (2005)
Mathematica Pannonica
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Liu, Qingbing, Chen, Guoliang (2010)
Mathematical Problems in Engineering
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Slobodan Lakić (1997)
Applications of Mathematics
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This paper is motivated by the paper [3], where an iterative method for the computation of a matrix inverse square root was considered. We suggest a generalization of the method in [3]. We give some sufficient conditions for the convergence of this method, and its numerical stabillity property is investigated. Numerical examples showing that sometimes our generalization converges faster than the methods in [3] are presented.
Kyurkchiev, Nikolay, Iliev, Anton (2009)
Serdica Journal of Computing
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This paper is partially supported by project ISM-4 of Department for Scientific Research, “Paisii Hilendarski” University of Plovdiv. In this paper we give methodological survey of “contemporary methods” for solving the nonlinear equation f(x) = 0. The reason for this review is that many authors in present days rediscovered such classical methods. Here we develop one methodological schema for constructing nonstationary methods with a preliminary chosen speed of convergence. ...