Results 11 to 20 of about 1,646 (46)
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 251-284, 2001., 2001 The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrix A = M1 − N1 = M2 − N2.
Zbigniew I. Woźnicki
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On some extensions of the accelerated overrelaxation (AOR) theory
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 49-60, 1982., 1981 This paper extends the convergence theory of the Accelerated Overrelaxation (AOR) method to cases analogous to those considered first by Ostrowski and then by Varga in connection with the Successive Overrelaxation (SOR) method. Among others, the Ostrowski Theorem, some of the theorems by Varga on the extensions of the SOR theory, and some recent ...
A. Hadjidimos, A. Yeyios
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Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Recent developments in the field of image reconstruction have given rise to the use of projective iterative methods, such as Kaczmarz and Jacobi, when solving inconsistent linear least squares problems. In this paper we try to generalize previous results
Carp Doina +2 more
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On an accelerated procedure of extrapolation
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 4, Page 753-762, 1981., 1980 This paper presents some theoretical results concerning an extrapolation method, based on a completely consistent linear stationary iterative method of first degree, for the numerical solution of the linear system Au = b.The main purpose of the paper is to find ranges for the extrapolation parameter, such that the extrapolation method converges ...
A. Yeyios
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The Variation of the Salt Concentration at the Discharge of a River into a Saline Water
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 A plume model is used to describe the variation of the salt concentration at the discharge of a river into a saline water. The integral model of the plume behavior consists of a set of ordinary differential equations derived from conservation of mass ...
Juncu Gheorghe +2 more
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A relaxed block splitting preconditioner for complex symmetric indefinite linear systems
Open Mathematics, 2018 In this paper, we propose a relaxed block splitting preconditioner for a class of complex symmetric indefinite linear systems to accelerate the convergence rate of the Krylov subspace iteration method and the relaxed preconditioner is much closer to the ...
Huang Yunying, Chen Guoliang
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Bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun +4 more
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On Remotest set and Random controls in Kaczmarz algorithm
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper we analyse the Kaczmarz projection algorithm with Remotest set and Random control of projection indices and provide a suficient condition such that each projection index appears infinitely many times during the iterations.
Popa Constantin
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M-tensors and The Positive Definiteness of a Multivariate Form [PDF]
, 2012 We study M-tensors and various properties of M-tensors are given. Specially, we show that the smallest real eigenvalue of M-tensor is positive corresponding to a nonnegative eigenvector.
Qi, Liqun, Zhang, Liping, Zhou, Guanglu
core
Geršhgorin-type theorems for Z1-eigenvalues of tensors with applications
Demonstratio MathematicaIn this article, we present several Geršhgorin-type theorems for Z1{Z}_{1}-eigenvalues of tensors, which improve the results provided by Wang et al. (Some upper bounds on Zt{Z}_{t}-eigenvalues of tensors, Appl. Math. Comput.
Shen Xiaowei +3 more
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