The Kronecker Product 矩阵矩阵矩阵乘法积积矩阵×矩阵矩阵乘法(Am×nBn×p)ij=∑k=1naikbkjm×pHadamard 积(Am×n∘Bm×n)ij=aijbijm×nKronecker 积Am×n⊗Bp×q(mp)×(nq)⟨A,B⟩=∑ijaijbij=e⊤(A∘B)e The Kronecker product of A∈Cm×n and B∈Cp×q is defined by ...
在机器人集群的分布式任务分配工作中,多智能体系统一致性分析是一个基础性的工作,而代数图论是一致性分析的数学工具。这里讨论单积分器动力学的一致性(Consensus of single-integrator dynamics),第二部分,主要为Consensus Leaders和 the Kronecker product(克罗内克积)...
the Kronecker product 青云英语翻译 请在下面的文本框内输入文字,然后点击开始翻译按钮进行翻译,如果您看不到结果,请重新翻译! 翻译结果1翻译结果2翻译结果3翻译结果4翻译结果5 翻译结果1复制译文编辑译文朗读译文返回顶部 Kronecker积 翻译结果2复制译文编辑译文朗读译文返回顶部...
矩阵与张量分析中的克罗内克积具有重要地位，以下是对其关键点的总结：定义：如果A和B是两个矩阵，它们的克罗内克积定义为一个大矩阵，其中A的每一个元素都被B乘以并放置在相应位置上。数学表达式为：A⊗B。混合乘积性质：如果是A的特征对，是B的特征对，那么是A⊗B的特征对。A⊗...
The Kronecker product is named after Leopold Kronecker (1823–1891). Henderson et al. (1983) suggest that it should be called the Zehfuss product, after Johann Georg Zehfuss (1832–1891), who obtained the result for and in 1858.
We show that the Schur functor takes the internal tensor product to the usual Kronecker tensor product of representations of S_d, i.e. where the group elements act diagonally. Our proof relies on examining the effect of the Schur functor on the projective generator given by parametrized divided...
给定正整数[公式]，存在唯一矩阵[公式]，满足:[公式][公式]仅依赖于[公式]，并且是一个由[公式]给出的排列矩阵，其中[公式]在位置[公式]的元素为[公式]，其他位置为零。最后，关于最近的克罗内克积问题（Nearest Kronecker Product Problem），当[公式]被划分为块后，问题可以转换为:[公式]
neckerproductshouldbecalledtheZehfussProduct. Thisfactissomewhatappreciatedbythemodern(numerical)linearalgebracommunity: R.J.HornandC.R.Johnson(1991).TopicsinMatrixAnalysis,CambridgeUniversityPress,NY,p.254. A.N.LangvilleandW.J.Stewart(2004).“TheKroneckerproductandstochasticautomatanetworks,”J. ...
J. Remmel, A formula for the Kronecker products of Schur functions of hook shapes, J. Algebra, 120 (1989), 100-118.J.B. Remmel, "A formula for the Kronecker product of Schur functions of hook shapes," J. Algebra 120 (1989), 100-118....
In the description of the solutions of such equations, the Kronecker product another product of matrices, is useful. In this chapter we develop the most important properties of this products and we study its application in the context of linear matrix equations....