Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Shui-lian Xie"'
Autor:
Jun-jie Zhang, Yan Shen, Xiao-yuan Chen, Man-lei Jiang, Feng-hua Yuan, Shui-lian Xie, Jie Zhang, Fei Xu
Publikováno v:
Frontiers in Endocrinology, Vol 14 (2023)
IntroductionNon-alcoholic steatohepatitis (NASH), an advanced subtype of non-alcoholic fatty liver disease (NAFLD), has becoming the most important aetiology for end-stage liver disease, such as cirrhosis and hepatocellular carcinoma. This study were
Externí odkaz:
https://doaj.org/article/3479cf11db3c49f0ae810d21c5b15fc5
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-14 (2021)
Abstract In this paper, we consider the numerical method for solving finite-dimensional quasi-variational inequalities with both equality and inequality constraints. Firstly, we present a semismooth equation reformulation to the KKT system of a finit
Externí odkaz:
https://doaj.org/article/f81f53626c414da4bcc5fb130d3c9ba8
Autor:
Shui-Lian Xie, Hong-Ru Xu
Publikováno v:
Mathematical Problems in Engineering, Vol 2021 (2021)
In this paper, we present an efficient method for finding a numerical solution for nonlinear complementarity problems (NCPs). We first reformulate an NCP as an equivalent system of fixed-point equations and then present a modulus-based matrix splitti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b98817146c95bfc0ad0dfb101c642b6b
https://doi.org/10.1155/2021/9030547
https://doi.org/10.1155/2021/9030547
Autor:
Hong-Ru Xu, Shui-Lian Xie
Publikováno v:
Linear Algebra and its Applications. 584:394-408
In this paper, we present a two-level additive Schwarz method for a kind of tensor complementarity problem (TCP). The method is proved to be convergent monotonically and can reach the solution within finite steps. We report some preliminary numerical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7155304eab5d902e1c3ab4d938f114e4
https://doi.org/10.1016/j.laa.2019.09.025
https://doi.org/10.1016/j.laa.2019.09.025
Publikováno v:
Optimization Letters. 13:685-694
We are concerned with the tensor complementarity problem with positive semi-definite Z-tensor. Under the assumption that the problem has a solution at which the strict complementarity holds, we show that the problem is equivalent to a system of lower
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6417a657b620bcf6ea45fe796a1abca3
https://doi.org/10.1007/s11590-018-1268-4
https://doi.org/10.1007/s11590-018-1268-4
Publikováno v:
Journal of Optimization Theory and Applications. 175:119-136
In this paper, we are concerned with finding the least solution to the tensor complementarity problem. When the involved tensor is strongly monotone, we present a way to estimate the nonzero elements of the solution in a successive manner. The proced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b3404c9a3df31efbaca0ef6386533f5
https://doi.org/10.1007/s10957-017-1157-5
https://doi.org/10.1007/s10957-017-1157-5
Autor:
Hong-Ru Xu, Shui-Lian Xie
Publikováno v:
Computers & Mathematics with Applications. 73:2581-2586
In this paper, we present a semismooth Newton method for a kind of HJB equation. By suitably choosing the initial iterative point, the method is proved to have monotone convergence. Moreover, the semismooth Newton method has local superlinear converg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f6c415b38ca0e330e4e82d253e896e1
https://doi.org/10.1016/j.camwa.2017.03.029
https://doi.org/10.1016/j.camwa.2017.03.029
Publikováno v:
Linear Algebra and its Applications. 494:1-10
In this paper, we reformulate the nonlinear complementarity problem as an implicit fixed-point equation. We establish a modulus-based matrix splitting iteration method based on the implicit fixed-point equation and prove its convergence theorem under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43ce772b19b4bfc94113722d42759ae3
https://doi.org/10.1016/j.laa.2016.01.002
https://doi.org/10.1016/j.laa.2016.01.002
Publikováno v:
Numerical Linear Algebra with Applications. 24:e2102
Summary The Jacobi, Gauss-Seidel and successive over-relaxation methods are well-known basic iterative methods for solving system of linear equations. In this paper, we extend those basic methods to solve the tensor equation Axm−1−b=0, where A is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::69dcc9e2f821068e8bdc3ec308d74d1c
https://doi.org/10.1002/nla.2102
https://doi.org/10.1002/nla.2102
Publikováno v:
Applied Mathematics Letters. (3):279-282
In this work, an iterative algorithm for solving a kind of discrete HJB equation with M -functions is proposed and monotone convergence is obtained. Furthermore, a domain decomposition method based on the iterative algorithm is also presented.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35245242ddcc5e224146b9273f8e7ebb