Results 1 to 10 of about 45 (45)
Corrigendum to “Spectra universally realizable by doubly stochastic matrices”
We correct an error in the statement and the proof of Theorem 2.1 and Corollary 2.1 in our previous study [Spec. Matrices 6 (2018), 301–309], Section 2: On nonnegative matrices similar to positive matrices.
Collao Macarena +2 more
doaj +1 more source
A short note on extreme points of certain polytopes
We give a short proof of Mirsky’s result regarding the extreme points of the convex polytope of doubly substochastic matrices via Birkhoff’s Theorem and the doubly stochastic completion of doubly sub-stochastic matrices.
Cao Lei, Hall Ariana, Koyuncu Selcuk
doaj +1 more source
In this paper, the stability of the adaptive fading extended Kalman filter with the matrix forgetting factor when applied to the state estimation problem with noise terms in the non–linear discrete–time stochastic systems has been analysed.
Biçer Cenker +2 more
doaj +1 more source
The Sinkhorn-Knopp algorithm: convergence and applications [PDF]
. As long as a square nonnegative matrix A contains sufficient nonzero elements, then the Sinkhorn-Knopp algorithm can be used to balance the matrix, that is, to find a diagonal scaling of A that is doubly stochastic.
Philip A. Knight, Knight, Philip A.
core +1 more source
A FAST ALGORITHM FOR MATRIX BALANCING [PDF]
. As long as a square nonnegative matrix A contains sufficient nonzero elements, then the matrix can be balanced, that is we can find a diagonal scaling of A that is doubly stochastic.
Daniel Ruiz +3 more
core +1 more source
Towards Prediction of HCV Therapy Efficiency
We investigate a correlation between genetic diversity of hepatitis C virus population and the level of viral RNA accumulation in patient blood. Genetic diversity is defined as the mean Hamming distance between all pairs of virus RNA sequences representing the population. We have found that a low Hamming distance (i.e. low genetic diversity) correlates
Szymon Wasik +6 more
wiley +1 more source
Products of stochastic matrices and applications
This paper deals with aspects of the limit behaviour of products of nonidentical finite or countable stochastic matrices (Pn). Applications are given to nonhomogeneous Markov models as positive chains, some classes of finite chains considered by Doeblin and weakly ergodic chains.
Harry Cohn
wiley +1 more source
A Geršgorin-type eigenvalue localization set with n parameters for stochastic matrices
A set in the complex plane which involves n parameters in [0, 1] is given to localize all eigenvalues different from 1 for stochastic matrices. As an application of this set, an upper bound for the moduli of the subdominant eigenvalues of a stochastic ...
Wang Xiaoxiao, Li Chaoqian, Li Yaotang
doaj +1 more source
Dynamics of doubly stochastic quadratic operators on a finite-dimensional simplex
The present paper focuses on the dynamics of doubly stochastic quadratic operators (d.s.q.o) on a finite-dimensional simplex. We prove that if a d.s.q.o. has no periodic points then the trajectory of any initial point inside the simplex is convergent. We
Abdulghafor Rawad +3 more
doaj +1 more source
Construction of 4 x 4 symmetric stochastic matrices with given spectra
The symmetric stochastic inverse eigenvalue problem (SSIEP) asks which lists of real numbers occur as the spectra of symmetric stochastic matrices. When the cardinality of a list is 4, Kaddoura and Mourad provided a sufficient condition for SSIEP by a ...
Jung Jaewon, Kim Donggyun
doaj +1 more source

