Results 11 to 20 of about 2,985,813 (306)

Interval matrices: Realization of ranks by rational matrices [PDF]

open access: yesLinear Algebra and its Applications, 2021
Let $α$ be a $p \times q$ interval matrix with $p \geq q$ and with the endpoints of all its entries in the set of the rational numbers. We prove that, if $α$ contains a rank-$r$ real matrix with $r \in \{2, q-2,q-1,q\}$, then it contains a rank-$r$ rational matrix.
openaire   +4 more sources

EA/AE-Eigenvectors of Interval Max-Min Matrices

open access: yesMathematics, 2020
Systems working in discrete time (discrete event systems, in short: DES)—based on binary operations: the maximum and the minimum—are studied in so-called max–min (fuzzy) algebra.
Martin Gavalec   +2 more
doaj   +1 more source

Verified bounds for the determinant of real or complex point or interval matrices

open access: yesJournal of Computational and Applied Mathematics, 2020
We discuss several methods to compute a verified inclusion of the determinant of a real or complex, point or interval matrix. For point matrices, large condition number 1 0 15 , and large dimension ( n = 1000 ) still highly accurate inclusions are ...
S. Rump
semanticscholar   +1 more source

A generalization of Rohn's theorem on full-rank interval matrices [PDF]

open access: yesLinear and multilinear algebra, 2018
A general closed interval matrix is a matrix whose entries are closed connected nonempty subsets of , while an interval matrix is defined to be a matrix whose entries are closed bounded nonempty intervals in . We say that a matrix A with constant entries
Elena Rubei
semanticscholar   +1 more source

Neutrino mixing, interval matrices and singular values [PDF]

open access: yesPhysical Review D, 2017
We study the properties of singular values of mixing matrices embedded within an experimentally determined interval matrix. We argue that any physically admissible mixing matrix needs to have the property of being a contraction. This condition constrains
K. Bielas   +3 more
semanticscholar   +1 more source

Novel Results on Global Robust Stability Analysis for Dynamical Delayed Neural Networks Under Parameter Uncertainties

open access: yesIEEE Access, 2020
In this paper, we focus on the global stability analysis with respect to dynamical delayed neural networks (NNs) that contain parameter uncertainties.
Nallappan Gunasekaran   +4 more
doaj   +1 more source

Symbolic Algorithm for Inverting General k-Tridiagonal Interval Matrices

open access: yesInternational Journal of Analysis and Applications, 2023
The k-tridiagonal matrices have received much attention in recent years. Many different algorithms have been proposed to improve the efficiency of k-tridiagonal matrix estimation.
Sivakumar Thirupathi   +1 more
doaj   +1 more source

THE EXISTENCE OF SOLUTION OF GENERALIZED EIGENPROBLEM IN INTERVAL MAX-PLUS ALGEBRA

open access: yesBarekeng, 2023
An eigenproblem of a matrix  is  where  and . Vector  and    are eigenvector and eigenvalue, respectively. General form of eigenvalue problem is  with , .
Siswanto Siswanto
doaj   +1 more source

A different view on controllability and observability of continuous time linear systems with interval coefficients [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2020
We discuss the controllability and observability of time-invariant (continuous time) linear systems with interval coefficients using the notion of being full rank of interval matrices.
H.S. Amiri, A.H. Borzabadi, A. Heydari
doaj   +1 more source

Incidence matrices and interval graphs [PDF]

open access: yesPacific Journal of Mathematics, 1965
Abstract : According to present genetic theory, the fine structure of genes consists of linearly ordered elements. A mutant gene is obtained by alteration of some connected portion of this structure. By examining data obtained from suitable experiments, it can be determined whether or not the blemished portions of two mutant genes intersect or not, and
Fulkerson, D. R., Gross, O. A.
openaire   +3 more sources

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