【摘 要】
：
In this paper,we extend the notion of the T-Schur decomposition to the weighted T-core-EP decomposition.Next,the weighted T-core-EP inverse of rectangular tensors is defined by a system,and its existence and uniqueness are obtained.Furthermore,the perturb
【机 构】
：
School of Mathematical Science,Harbin Normal University,Harbin 150025,P.R.China
论文部分内容阅读
In this paper,we extend the notion of the T-Schur decomposition to the weighted T-core-EP decomposition.Next,the weighted T-core-EP inverse of rectangular tensors is defined by a system,and its existence and uniqueness are obtained.Furthermore,the perturbation of the weighted T-core-EP inverse is studied under several conditions,and the relevant examples are provided to verify the perturbation bounds of the weighted T-core-EP inverse of tensors.
其他文献
研究了分数阶具有外部扰动和不确定性单摆混沌系统的自适应滑模同步,分别设计了滑模面并证明了滑模面的稳定性与可达性,获得了不确定分数阶单摆系统取得自适应滑模同步的两个充分条件.研究显示:在一定的控制条件下,不确定分数阶单摆混沌系统的主从系统能够取得自适应滑模同步.
This paper presents a formula for the Drazin inverses of matrices based on a sequence of partial full-rank factorizations which theoretically ex-tends the classic full-rank factorization method for computing the Drazin in-verses established by R.E.Cline.T
通过野外样地实验研究了放牧方式对松嫩草地植物群落地下、地上生物量及生物量向地下分配比例的影响.实验共设置了4种放牧方式:禁牧、牛单牧、羊单牧、混合放牧.结果表明:不同放牧方式对植物地下、地上生物量的影响随降水量的不同而产生年际差异.2012年降水充足,混合放牧方式下植物地下生物量最高,并显著高于禁牧、牛单牧和羊单牧,分别高出38％,118％ 和40％(P<0.01);而在2013年,由于干旱胁迫,不同放牧方式对植物地下、地上生物量的影响均不显著.生物量向地下分配的比例主要受放牧方式的影响,受降水影响较小.
The aim of this paper is to systematize solutions of some systems of linear equations in terms of generalized inverses.As a significant application of the Moore-Penrose inverse,the best approximation solution to linear matrix equations (i.e.both least squ
Let (A) be a complex Banach algebra and J be the Jacobson radical of(A).(1) We firstly show that a is generalized Drazin invertible in (A) if and only if a+J is generalized Drazin invertible in (A)/J.Then we prove that a is pseudo Drazin invertible in (A)
In this paper,we use the L(o)wner partial order and the star partial order to introduce a new partial order (denoted by “L*”) on the set of group matrices,and get some characteristics and properties of the new partial order.In particular,we prove that the
清中叶,受乾嘉考据的风气影响,社会读书氛围高涨,岭南地区才子涌现.但学者关注的大多数是载于史册的诗人,却对一些未能考取功名却颇有才思的诗人探讨较少,殊不知他们也是展现岭南诗歌风貌的一部分.以东莞诗人袁必达为例,考证其生平事略,分析其诗作《卧雪山房诗钞》的内容及艺术成就,以展现清中叶期岭南地区文人群体的全貌.
In this paper,we give further results on the Drazin inverse of tensors via the Einstein product.We give a limit formula for the Drazin inverse of tensors.By using this formula,the representations for the Drazin inverse of several block tensor are obtained
鸥外鸥因其诗歌的“非诗”特质百年来沉潜于主流之外,成为文学史上的“失踪者”,随着时代渐变和文学观念的更迭,鸥外鸥逐渐浮出历史地表,进入读者的阅读视野.从读者批评、文学史和选本三重向度去梳理鸥外鸥诗歌的传播接受史,发掘鸥外鸥被长期忽视的历史语境和局限,以此蠡测中国新诗现代性的审美嬗变与诗学轨迹.鸥外鸥从“失踪”到“浮现”的转变,是中国新诗在历经百年发展历程之后,走向更加开放、自信和包容的必然结果.
晚明士人群体的实践模式逾越“得君行道”的儒家传统,以“去政治化”特征的日常空间从伦理政治空间中分化生成.以计成的《园冶》为例,士人群体通过对园林设计的布置和园林生活的经营,建构了兼具摆脱名位争夺和寄寓精神情致功能的日常生活空间.通过《园冶》的方法论“借景”展现士人群体对日常空间的审美建构,这是一个以闲适和纵欲为特征的生活空间.由此隐含了治统的权威下降的历史转向,构成了间接性的文化抵抗思潮.