A geometric study of cores of idempotent stochastic matrices
Sign Up to like & getrecommendations! Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.03.032
Abstract: Abstract For each idempotent E in the compact affine semigroup St n of n × n stochastic matrices the core of E, denoted by Q ( E ) , is defined as the maximal subsemigroup… read more here.
Keywords: cores idempotent; idempotent stochastic; study cores; geometric study ... See more keywords
A recursive method for constructing doubly stochastic matrices and inverse eigenvalue problem
Sign Up to like & getrecommendations! Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.10.005
Abstract: Abstract This article presents a technique for combining two doubly stochastic matrices with known spectra to create a new matrix. As application of this, we obtain a recursive method for constructing doubly stochastic matrices for… read more here.
Keywords: constructing doubly; doubly stochastic; method constructing; stochastic matrices ... See more keywords
On a numerical construction of doubly stochastic matrices with prescribed eigenvalues
Sign Up to like & getrecommendations! Published in 2022 at "Inverse Problems"
DOI: 10.1088/1361-6420/acd273
Abstract: We study the inverse eigenvalue problem for finding doubly stochastic matrices with specified eigenvalues. By making use of a combination of Dykstra’s algorithm and an alternating projection process onto a non-convex set, we derive hybrid… read more here.
Keywords: construction doubly; stochastic matrices; numerical construction; doubly stochastic ... See more keywords
Generalized Sarymsakov Matrices
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2018.2878476
Abstract: Within the set of stochastic, indecomposable, aperiodic (SIA) matrices, the class of Sarymsakov matrices is the largest known subset that is closed under matrix multiplication, and more critically whose compact subsets are all consensus sets.… read more here.
Keywords: stochastic matrices; condition; class; generalized sarymsakov ... See more keywords
Products of Generalized Stochastic Matrices With Applications to Consensus Analysis in Networks of Multiagents With Delays
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Cybernetics"
DOI: 10.1109/tcyb.2018.2868994
Abstract: Product theory of stochastic matrices provides a powerful tool in the consensus analysis of discrete-time multiagent systems. However, the classic theory cannot deal with networks with general coupling coefficients involving negative ones, which have been… read more here.
Keywords: consensus analysis; discrete time; time; stochastic matrices ... See more keywords
On Inhomogeneous Infinite Products of Stochastic Matrices and Their Applications
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2024.3437677
Abstract: With the growth of the magnitude of multiagent networks, distributed optimization holds considerable significance within complex systems. Convergence, a pivotal goal in this domain, is contingent upon the analysis of infinite products of stochastic matrices… read more here.
Keywords: inhomogeneous infinite; infinite products; stochastic matrices; inhomogeneous ipsms ... See more keywords
Star-Convexity of the Eigenvalue Regions for Stochastic Matrices and Certain Subclasses
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
DOI: 10.3390/math13122038
Abstract: Star-convexity of the eigenvalue region for the set of n×n stochastic matrices has already been proven, for n≥2, by Dmitriev and Dynkin. The star-convexity property enables full determination of the eigenvalue region by its boundary.… read more here.
Keywords: convexity; star convexity; eigenvalue regions; stochastic matrices ... See more keywords