Results 31 to 40 of about 1,894 (91)
Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials
Communications in Computational Physics, 2019 In this paper, we first develop the mathematical modeling equations for wave propagation in several transformation optics devices, including electromagnetic concentrator, rotator and splitter.
Wei Yang +3 more
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
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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Family Constraining of Iterative Algorithms
, 2013 In constraining iterative processes, the algorithmic operator of the iterative process is pre-multiplied by a constraining operator at each iterative step.
Censor, Yair +2 more
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Combined Preconditioning with Applications in Reservoir Simulation
, 2013 We develop a simple algorithmic framework to solve large-scale symmetric positive definite linear systems. At its core, the framework relies on two components: (1) a norm-convergent iterative method (i.e. smoother) and (2) a preconditioner. The resulting
Hu, Xiaozhe +6 more
core +1 more source
, 2014 In this paper, we establish some important properties of M-tensors. We derive upper and lower bounds for the minimum eigenvalue of M-tensors, bounds for eigenvalues of M-tensors except the minimum eigenvalue are also presented; finally, we give the Ky ...
Jun He, Tingzhu Huang
semanticscholar +1 more source
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
doaj +1 more source
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
New recurrence relationships between orthogonal polynomials which lead to new Lanczos-type algorithms [PDF]
, 2012 Lanczos methods for solving Ax = b consist in constructing a sequence of vectors (Xk),k = 1,... such that rk = b-AXk= Pk(A)r0, where Pk is the orthogonal polynomial of degree at most k with respect to the linear functional c defined as c(εi) = (y, Air0).
Farooq, M, Salhi, A
core