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Matrix splitting principles [PDF]
International Journal of Mathematics and Mathematical Sciences, 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 ...
Zbigniew I. Woźnicki
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Convergence analysis of modulus-based matrix splitting iterative methods for implicit complementarity problems [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we demonstrate a complete version of the convergence theory of the modulus-based matrix splitting iteration methods for solving a class of implicit complementarity problems proposed by Hong and Li (Numer. Linear Algebra Appl.
An Wang, Yang Cao, Quan Shi
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“Splitting the matrix”: intussusceptive angiogenesis meets MT1‐MMP
EMBO Molecular Medicine, 2019 Pathological angiogenesis contributes to tumour progression as well as to chronic inflammatory diseases. In this issue of EMBO Molecular Medicine, Esteban and co‐workers identify endothelial cell MT1‐MMP as a key regulator of intussusceptive angiogenesis
Gabriela D'Amico +3 more
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A note on fixed point method and linear complementarity problem
Journal of Numerical Analysis and Approximation Theory, 2023 In this article, we present a general form of the fixed point method for processing the large and sparse linear complementarity problem, as well as a general condition for the method's convergence when the system matrix is a \(P\)-matrix and some ...
Bharat Kumar, Deepmala, Arup K Das
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A general modulus-based matrix splitting method for quasi-complementarity problem
AIMS Mathematics, 2022 For large sparse quasi-complementarity problem (QCP), Wu and Guo [35] recently studied a modulus-based matrix splitting (MMS) iteration method, which belongs to a class of inner-outer iteration methods.
Chen-Can Zhou +3 more
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Finite splittings of differential matrix algebras
Journal of Algebra, 2023 It is well known that central simple algebras are split by suitable finite Galois extensions of their centers. A counterpart of this result was studied by Juan and Magid in the set up of differential matrix algebras, wherein Picard-Vessiot extensions that split matrix differential algebras were constructed.
Amit Kulshrestha, Kanika Singla
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Matrix Recovery Using Split Bregman [PDF]
2014 22nd International Conference on Pattern Recognition, 2014 In this paper we address the problem of recovering a matrix, with inherent low rank structure, from its lower dimensional projections. This problem is frequently encountered in wide range of areas including pattern recognition, wireless sensor networks, control systems, recommender systems, image/video reconstruction etc.
Gogna, Anupriya +2 more
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New matrix splitting iteration method for generalized absolute value equations
AIMS Mathematics, 2023 In this paper, a relaxed Newton-type matrix splitting (RNMS) iteration method is proposed for solving the generalized absolute value equations, which includes the Picard method, the modified Newton-type (MN) iteration method, the shift splitting modified
Wan-Chen Zhao, Xin-Hui Shao
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AIMS: Average information matrix splitting
Mathematical Foundations of Computing, 2020 For linear mixed models with co-variance matrices which are not linearly dependent on variance component parameters, we prove that the average of the observed information and the Fisher information can be split into two parts. The essential part enjoys a simple and computational friendly formula, while the other part which involves a lot of ...
Zhu, Shengxin +2 more
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Testing weighted splitting schemes on a one-column transport-chemistry model [PDF]
, 2004 In many transport-chemistry models, a huge system of ODE’s of the advection-diffusion-reaction type has to be integrated in time. Typically, this is done with the help of operator splitting.
Botchev, M.A., Farago, I., Havasi, A.
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