ESDD_(1)^(*)矩阵逆的无穷大范数上界估计  

Upper bounds estimation for the infinity norm of the inverse of ESDD_(1)^(*) matrices

作　　者：何丹丹 刘兰兰 HE Dandan;LIU Lanlan(College of Data Science and Information Engineering,Guizhou Minzu University,Guiyang,Guizhou 550000)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵州贵阳550000

出　　处：《宁夏师范大学学报》2025年第1期5-15,共11页Journal of Ningxia Normal University

基　　金：贵州民族大学校级项目(GZMUZK[2023]YB10);贵州省高等学校大数据分析与智能计算重点实验室(黔教技[2023]012号).

摘　　要：提出一个名为ESDD_(1)^(*)矩阵的非奇异H-矩阵新子类.研究ESDD_(1)^(*)矩阵的有关性质以及ESDD_(1)^(*)矩阵与其他子类之间的关系.此外,利用ESDD_(1)^(*)矩阵的性质给出ESDD_(1)^(*)矩阵逆的无穷大范数带参数和不带参数的新上界,并通过数值算例验证了新上界的正确性和有效性.A new subclass of nonsingular H-matrices named ESDD_(1)^(*) matrices is proposed.The chatacteristics of ESDD_(1)^(*) matrices and the relationshipbetween ESDD_(1)^(*) matrices and other subclasses of nonsingular H-matrices are studied.In addition,by utilizing the properties of the ESDD_(1)^(*) matrices,new upper bounds for the infinite norm of the inverse of the ESDD_(1)^(*) matrices with and without parameters are given,and the correctness and effectiveness of the new upper bounds are verified through numerical examples.

关 键 词：非奇异H-矩阵 ESDD_(1)^(*)矩阵 无穷范数上界 GSDD_(1)矩阵 

分 类 号：O151.21[理学—数学]