共查询到20条相似文献,搜索用时 31 毫秒
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Xiongping Dai Yu Huang Jun Liu Mingqing Xiao 《Linear algebra and its applications》2012,437(7):1548-1561
We study the finite-step realizability of the joint/generalized spectral radius of a pair of real square matrices and , one of which has rank 1, where . Let denote the spectral radius of a square matrix A. Then we prove that there always exists a finite-length word , for some finite , such thatIn other words, there holds the spectral finiteness property for . Explicit formula for computation of the joint spectral radius is derived. This implies that the stability of the switched system induced by is algorithmically decidable in this case. 相似文献
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Masatoshi Fujii Ritsuo Nakamoto Keisuke Yonezawa 《Linear algebra and its applications》2013,438(4):1580-1586
The grand Furuta inequality has the following satellite (SGF;), given as a mean theoretic expression:where is the -geometric mean and () is a formal extension of . It is shown that (SGF; ) has the Löwner–Heinz property, i.e. (SGF; ) implies (SGF;t) for every . Furthermore, we show that a recent further extension of (GFI) by Furuta himself has also the Löwner–Heinz property. 相似文献
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Let be an arbitrary integral domain, let be a multiset of elements of , let be a permutation of let be positive integers such that , and for let . We are interested in the problem of finding a block matrix with spectrum and such that for . Cravo and Silva completely characterized the existence of such a matrix when is a field. In this work we construct a solution matrix that solves the problem when is an integral domain with two exceptions: (i) ; (ii) , and for some .What makes this work quite unique in this area is that we consider the problem over the more general algebraic structure of integral domains, which includes the important case of integers. Furthermore, we provide an explicit and easy to implement finite step algorithm that constructs an specific solution matrix (we point out that Cravo and Silva’s proof is not constructive). 相似文献
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