On primitivity of sets of matrices
WebInformación del artículo On primitivity of sets of matrices. Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 61, 2015, págs. 80-88 Idioma: inglés Texto completo no disponible (Saber más ...); Resumen. A nonnegative matrix AA is called primitive if AkAk is positive for some integer k>0k>0. Web5 de ago. de 2024 · 3.1 Definition. We here introduce primitivity as a two-player probabilistic game. We fix a binary NZ-set \( \mathcal {M}=\lbrace M_1,\dots ,M_m\rbrace \) of matrix size \( n\times n \) and an integer \( t\in \mathbb {N} \), and we set D to be the directed graph associated to \( \mathcal {M}\) (see Sect. 2).We see the n vertices of D as …
On primitivity of sets of matrices
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WebGiven a square matrix A over the integers, we consider the Z-module M A generated by the set of all matrices that are permutation-similar to A.Motivated by analogous problems on signed graph decompositions and block designs, we are interested in the completely symmetric matrices a I + b J belonging to M A.We give a relatively fast method to … Web10 de jul. de 2024 · Deciding whether a set is primitive is a PSPACE-complete problem for sets of two matrices , while it is an NP-hard problem for sets of at least three matrices . …
Web开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 Webprimitivity of one matrix (see, for instance [12, chapter 8]). However, for a set of matrices A 1 ,...,A k the situation is more difficult: instead of working with powers of one matrix, we
Web1 de out. de 2024 · These notions, which include the primitivity and the local primitivity of nonnegative matrices and digraphs etc., have an important applied meaning for the study of the properties of sets of transformations of a vector space connected with essential variables and different kinds of nonlinearity. Web1 de nov. de 2015 · A matrix which is entrywise nonnegative is said to be primitive if every entry of is positive for some positive integer . It is well-known (see Horn & Johnson, 1995 , Corollary 8.5.9) that this is the case if and only if so the primitivity of a matrix is easy to …
Web8 de abr. de 2024 · corresponding sets of primes S K,x, S E /K, and S E/K,P o f K in terms of the splitting behaviour of their elements p in suitable e xtensions K ⊂ K ℓ , with ℓ ranging over all prime numbers.
Web23 de ago. de 2024 · The article surveys the main results on the primitivity and local primitivity of digraphs and matrices from the inception of this research area in 1912 by now. ... Ya. E. Avezova, “On Primitivity of Some Sets of Shift Registers Mixing Digraphs,” Prikl. Diskretn. Mat. Prilozh. No. 10, 60–62 (2024). lampa tvWebA nonnegative matrix A is called primitive if A k is positive for some integer k > 0. A generalization of this concept to sets of matrices is as follows: A set of matrices M= {A 1,A 2, . . . ,A m} is primitive if A i1 A i2. . .A ik is positive for some indices i 1, i 2, ..., i k,.The concept of primitive sets of matrices is of importance in several applications, including … jest-snapshot-serializer-rawWebWe pay special attention to the set of matrices without zero rows and columns, denoted by $\mathscr{NZ}$, due to its intriguing connections to the Černý conjecture. We rely on synchronizing automata theory to derive a number of … lampaturWebOn primitivity of sets of matrices. In Proceedings of the 47th IEEE conference on decision and control. Google Scholar; br000020 V. Blondel, A. Olshevsky, How to decide … lampa tuba białaWebIn this paper the primitivity of a positive matrix pair (A,B) is introduced as a strict positivity constraint on the asymptotic behavior of the associated two-dimensional (2D) state … jest snapshot not generatingWeb1 de nov. de 2015 · Introduction. A n × n matrix A which is entrywise nonnegative is said to be primitive if every entry of A k is positive for some positive integer k.It is well-known … lampa turkusowaWebclosely related. Using matrix theoretic characterizations, we identify when such channels are primitive and prove that the primitivity of the channels depend on that of their associated stochastic matrices. We will also introduce the notion of the Holevo rank and find a new bound for the primitivity of the channel in terms of this rank. lampa tuba złota