On primitivity of sets of matrices

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August undefined, 2024

Web8 de set. de 2024 · ularly of interest as, while testing the primitivity of a NZ-set of m matrices is polynomial in nm ([21], Proposition 2), ﬁnding its exp onent is computationally hard ([13], Theorem 12). 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 . …

Classification of $k$-Primitive Sets of Matrices SIAM Journal on ...

Web17 de mai. de 2024 · Motivated by recent results relating synchronizing DFAs and primitive sets, we tackle the synchronization process and the related longstanding \v{C}ern\'{y} conjecture by studying the primitivity ... WebThe property of primitivity ofa set of matrices is impor-tant in several applications. In particular, its presence enables one to use eﬃcient algorithms for the computa-tion of … d and d towing ohio

Classification of $k$-Primitive Sets of Matrices SIAM Journal on ...

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. Webpositive matrix/matrices on partitions (of the column index sets)” — this corresponds to the general case from Deﬁnition 2.11 — and “[∆]-positive matrix/matrices” — this corresponds to the special case from Deﬁnition 2.11. For generic names based on Deﬁnition 2.12, we proceed similarly. 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 . Computing the exponent of a primitive set is usually hard, namely it is an FP $^{\text {NP}[\log ]}$ -complete problem [ 15 ]; for the complexity of other problems related to … birmingham belfast flights

Prove Matrix is Primitive - Mathematics Stack Exchange

Web11 de abr. de 2024 · sets and the Fibonacci sequence, we in troduce Schreier multisets and connect these multisets with the s -step Fibonacci sequences, deﬁned, for each s > 2 , as: F ( s ) 2 − s = Webclosely 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. d and d truesightWeb4 de abr. de 2024 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … d and d travel cuba city

"WebWe 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 … " - On primitivity of sets of matrices

On primitivity of sets of matrices

On the Degree of Nonlinearity of the Coordinate Polynomials …

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 … WebRecently, connections between synchronizing automata and primitive sets of matrices were established. In the present paper, we strengthen these links by providing …

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WebOn 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 … WebBeasley and A.E. Guterman , The characterization of operators preserving primitivity for matrix k-tuples, Linear Algebra Appl., 430 ( 2009), pp. 1762 -- 1777 . ... On primitivity of …

Web1 de jan. de 2013 · Check if you have access through your login credentials or your institution to get full access on this article. Sign in WebThe property of primitivity of a set of matrices is important in several applications. In particular, its presence enables one to use efﬁcient algorithms for the computation of the Lyapunov exponent of a stochastic switching system. Given a ﬁnite set of matrices M ⊂ Rn×n, one can deﬁne a stochastic switching system as: x

WebA 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 … WebMotivated by recent results relating synchronizing DFAs and primitive sets, we tackle the synchronization process and the related longstanding Černý conjecture by studying the …

WebIn 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 …

http://zhuyinfeng.org/Data/Preprints/Hurwitz221103.pdf birmingham belfast flights easyjetWebA nonnegative matrix A is called primitive if Ak is positive for some integer k>0. A generalization of this concept to finite sets of matrices is as follows: a set of matrices \\@fontswitchM={A1,A2,…,Am} is primitive if Ai1Ai2…Aik is positive for some indices i1,i2,...,ik. The concept of primitive sets of matrices comes up in a number of problems … d and d truck and autoWebThe property of primitivity of a set of matrices is important in several applications. In particular, its presence enables one to use efﬁcient algorithms for the computation of … d and d trucks barnsleyWeb1 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. d and d truck repair grand forksWebIn this paper, we analyze the computational complexity of deciding if a given set of matrices is primitive and we derive bounds on the length of the shortest positive product. We show … d and d truck clinton scWeb8 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. birmingham benefits officeWeb1 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 … d and d truck repair lynden wa