On primitivity of sets of matrices
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. WebA 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 …
On primitivity of sets of matrices
Did you know?
Web1 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 … 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).
WebLet start with F(1) = {2} because the first row in the matrix T, the second column is positive. F(5) = {1,2} as you see in the matrix T in the fifth row, the first and the second column are positive. F2(1) = {3} because in the matrix T2 in the first row, the third column is positive. F3(3) = {1,2} if you see the matrix T3 in the third row ... WebMenu. Journals. SIAM Review; Multiscale Modeling & Simulation; SIAM Journal on Applied Algebra and Geometry; SIAM Journal on Applied Dynamical Systems; SIAM Journal on Applied Mathematics
Web4 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 …
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 …
Web4 de jun. de 2013 · In 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 … phoebe and her unicorn free onlineWebThe 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 … tsx mnowWebpositive 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. phoebe and her unicorn in the magic stormWebIn 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 … tsx money rio2Web10 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 . … phoebe and her unicorn read online freeWebSearch 207,218,109 papers from all fields of science. Search phoebe and her unicorn dakotaWeb17 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 ... phoebe and her unicorn first comic