Results 11 to 20 of about 1,548,165 (297)

Interval-Valued Random Matrices [PDF]

Entropy
This paper introduces a novel approach that combines symbolic data analysis with matrix theory through the concept of interval-valued random matrices.
Abdolnasser Sadeghkhani, Ali Sadeghkhani
doaj   +6 more sources

Determinants of Interval Matrices [PDF]

The Electronic Journal of Linear Algebra, 2018
In this paper we shed more light on determinants of real interval matrices. Computing the exact bounds on a determinant of an interval matrix is an NP-hard problem. Therefore, attention is first paid to approximations. NP-hardness of both relative and absolute approximation is proved. Next, methods computing verified enclosures of interval determinants
Horáček, Jaroslav, Hladík, Milan, Matějka, Josef   +2 more
openaire   +5 more sources

Interval matrices with Monge property [PDF]

Applications of Mathematics, 2020
We generalize Monge property of real matrices for interval matrices. We define two classes of interval matrices with Monge property - in a strong and in a weak sense. We study fundamental properties of both classes. We show several different characterizations of the strong Monge property.
Černý, Martin
openaire   +4 more sources

Fuzzy Interval Matrices, Neutrosophic Interval Matrices and their Applications

, 2006
304 ...
Kandasamy, W. B. Vasantha, Smarandache, Florentin   +1 more
openaire   +3 more sources

The interval structure of \(( 0 , 1 )\)-matrices

Discret. Appl. Math., 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard A. Brualdi, Geir Dahl
openaire   +5 more sources

On Stability of Interval Matrices [PDF]

1993 American Control Conference, 1993
New sufficient, and sometimes necessary and sufficient conditions, are obtained for Schur- and Hurwitz-stability of interval matrices by relying on the concept of connective stability and M-matrices. The necessity part is broadened to include interval matrices with mixed signs of the off-diagonal elements, provided the sign patterns follow that of the ...
Sezer, M. E., Siljak, D. D.
openaire   +3 more sources

Interval hulls of N-matrices and almost P-matrices [PDF]

Linear Algebra and its Applications, 2021
We establish a characterization of almost $P$-matrices via a sign non-reversal property. In this we are inspired by the analogous results for $N$-matrices. Next, the interval hull of two $m \times n$ matrices $A=(a_{ij})$ and $B = (b_{ij})$, denoted by $\mathbb{I}(A,B)$, is the collection of all matrices $C \in \mathbb{R}^{m \times n}$ such that each ...
Projesh Nath Choudhury, M. Rajesh Kannan
openaire   +3 more sources

Tolerance problems for generalized eigenvectors of interval fuzzy matrices [PDF]

, 2022
summary:Fuzzy algebra is a special type of algebraic structure in which classical addition and multiplication are replaced by maximum and minimum (denoted $ \oplus $ and $ \otimes $, respectively).
Myšková, Helena, Plavka, Ján, Gavalec, Martin, Ponce, Daniela, Daniela Ponce, Martin Gavalec, Helena Myšková, Ján Plavka   +7 more
core   +1 more source

Bounds on eigenvalues and singular values of interval matrices [PDF]

, 2009
We study bounds on eigenvalues of interval matrices, and our aim is to develop fast computable formulae that produce as-sharp-as-possible bounds. We consider two cases: general (unsymmetric) and symmetric interval matrices.
Tsigaridas, Elias P., P., Daney, David, Hladik, Milan   +2 more
core   +3 more sources

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

Linear 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