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Distributive and Dual Distributive Elements in Hyperlattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively.
Ameri Reza +3 more
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A Preconditioned Fast Finite Volume Method for Distributed-Order Diffusion Equation and Applications
East Asian Journal on Applied Mathematics, 2019 A Crank-Nicolson finite volume scheme for the modeling of the Riesz space distributed-order diffusion equation is proposed. The corresponding linear system has a symmetric positive definite Toeplitz matrix.
Hongfei Fu
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Stability of linear GMRES convergence with respect to compact perturbations
, 2020 Suppose that a linear bounded operator $B$ on a Hilbert space exhibits at least linear GMRES convergence, i.e., there exists ...
Blechta, Jan
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Some Preconditioning Techniques for Saddle Point Problems [PDF]
, 2006 Saddle point problems arise frequently in many applications in science and engineering, including constrained optimization, mixed finite element formulations of partial differential equations, circuit analysis, and so forth.
Benzi, Michele, Wathen, A. J.
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The iterative methods for solving nonlinear matrix equation X+A⋆X−1A+B⋆X−1B=Q
, 2013 In this paper, we study the matrix equation X+A⋆X−1A+B⋆X−1B=Q, where A and B are square matrices, and Q is a positive definite matrix, and propose the iterative methods for finding positive definite solutions of the matrix equation.
S. Vaezzadeh +3 more
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A Diagonally-Implicit Time Integration Scheme for Space-Time Moving Finite Elements
Journal of Computational Mathematics, 2019 In this paper, we analyze and provide numerical experiments for a moving finite element method applied to convection-dominated, time-dependent partial differential equations.
Randolph E. Bank and Maximilian S. Metti
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Prime filters of hyperlattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a ∈ L are introduced. Moreover, we introduce dual distributive hyperlattices, and I-filter in dual distributive hyperlattices.
Ameri Reza +3 more
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A Generalised CRI Iteration Method for Complex Symmetric Linear Systems
East Asian Journal on Applied Mathematics, 2019 A generalisation of the combination method of real and imaginary parts for complex symmetric linear systems based on the introduction of an additional parameter is proposed. Sufficient conditions for the convergence of the method are derived.
Yunying Huang, Guoliang Chen
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Demonstratio MathematicaIn this article, we present two new algorithms referred to as the improved modified gradient-based iterative (IMGI) algorithm and its relaxed version (IMRGI) for solving the complex conjugate and transpose (CCT) Sylvester matrix equations, which often ...
Huang Zhengge, Cui Jingjing
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CSIAM Transaction on Applied Mathematics, 2020 An implicit evaluation method of vector 2-norms is presented for function evaluations arising from sphere constrained quadratic optimizations. The efficiency of the method in terms of computational costs mainly comes from the well-known shifted conjugate
T. Suzuki
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