Multilinear systems play an important role in scientific calculations of practical problems.In this paper,we consider a tensor splitting method with a relaxed Anderson acceleration for solving the multilinear systems....Multilinear systems play an important role in scientific calculations of practical problems.In this paper,we consider a tensor splitting method with a relaxed Anderson acceleration for solving the multilinear systems.The new method preserves the nonnegativity for every iterative step and improves the existing ones.Furthermore,the convergence analysis of the proposed method is given.The new algorithm performs effectively for numerical experiments.展开更多
FOR a linear connected simple Lie group G other than split G<sub>2</sub>, in order to obtain formulas forthe action of intertwining operators on certain subspaces of standard induced representations ofG, B...FOR a linear connected simple Lie group G other than split G<sub>2</sub>, in order to obtain formulas forthe action of intertwining operators on certain subspaces of standard induced representations ofG, Baldoni-Silva and Knapp discussed the occurrence of K types in a tensor product. Inthis letter, the author has obtained similar results about the occurrence of K types in a展开更多
基金National Natural Science Foundation of China(No.12101136)the Guangdong Basic and Applied Basic Research Foundations(No.2023A1515011633)+5 种基金the Project of Science and Technology of Guangzhou(No.2024A04J2056)the Opening Project of Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(No.2021004)the Open Project of Key Laboratory,School of Mathematical Sciences,Chongqing Normal University(No.CSSXKFKTQ202002)the Science and Technology Research Program of Chongqing Municipal Education Commission(Grant No.KJQN202100505)the Natural Science Foundation Project of Chongqing of China(Grant No.cstc2021jcyj-msxmX0195)the Program of Chongqing Innovation Research Group Project in University(Grant No.CXQT19018).
文摘Multilinear systems play an important role in scientific calculations of practical problems.In this paper,we consider a tensor splitting method with a relaxed Anderson acceleration for solving the multilinear systems.The new method preserves the nonnegativity for every iterative step and improves the existing ones.Furthermore,the convergence analysis of the proposed method is given.The new algorithm performs effectively for numerical experiments.
文摘FOR a linear connected simple Lie group G other than split G<sub>2</sub>, in order to obtain formulas forthe action of intertwining operators on certain subspaces of standard induced representations ofG, Baldoni-Silva and Knapp discussed the occurrence of K types in a tensor product. Inthis letter, the author has obtained similar results about the occurrence of K types in a
