On primitivity of sets of matrices
WebAbstract. For an -tuple of nonnegative matrices , primitivity/Hurwitz primitivity means the existence of a positive product/Hurwitz product, respectively (all products are with repetitions permitted). The Hurwitz product with a Parikh vector is the sum of all products with multipliers , . Ergodicity/Hurwitz ergodicity means the existence of the corresponding … 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
On primitivity of sets of matrices
Did you know?
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 … 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 ...
WebIn 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 … 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).
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 …
Web1 de ago. de 2024 · In our approach, we use the elements of semigroups as labels to generalize the notion of primitivity and unify theorems of Section 1. Let A = {a1, a2, . . . , ak} be a ï¬ nite set of labels. Our main idea is to treat A as elements of a semigroup. Let A∗ be the free semigroup generated by A: its elements are words over A and the the ...
WebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). cinemachine bounding boxWeb1 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 … cinemachine bowWebBlondel, Vincent [UCL] Jungers, Raphaël M. [UCL] olshevsky, Alex [University of Illinois at Urbana–Champaign, USA] . A nonnegative matrix is called primitive if is positive for some integer . A generalization by Protasov and Voynov (2012) of this concept to finite sets of matrices is as follows: a set of matrices is primitive if is positive for some indices . cinemachinebrain customblendsWebtheir names. Mimicking their terminology, we call the exponent of a primitive set Mthe length of its shortest positive product, and we indicate it by exp(M). The primitivity property of nonnegative matrix sets has lately found applica-tions in various elds as in consensus of discrete-time multi-agent systems [7], in diabetics desserts recipeWebRecently, connections between synchronizing automata and primitive sets of matrices were established. In the present paper, we strengthen these links by providing … diabetic seamless socks for menWeb开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 diabetics dry skin relief moisturizing creamWebMotivated by recent results relating synchronizing DFAs and primitive sets, we tackle the synchronization process and the related longstanding Černý conjecture by studying the … cinema chessy disney