A geometric study of cores of idempotent stochastic matrices
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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
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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
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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
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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