Results 241 to 250 of about 2,985,813 (306)

On the stability of interval matrices

Proceedings of the 2004 American Control Conference, 2004
A new method is proposed for computing a lower bound to the stability margin of an interval matrix family, thus providing also a sufficient condition for stability. The method is based on Gershgorin's theorem and on the optimal selection of the eigenvectors of the nominal system: the optimization considerably improves previous bounds reported in ...
FRANZE', Giuseppe, L. Carotenuto, MURACA, Pietro Maria   +2 more
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Interval robustness of (interval) max-plus matrices

Discrete Applied Mathematics, 2020
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Helena Mysková, Ján Plávka
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Interval P-Matrices

SIAM Journal on Matrix Analysis and Applications, 1996
Summary: A characterization of interval \(P\)-matrices is given. The result implies that a symmetric interval matrix is a \(P\)-matrix if and only if it is positive definite (although nonsymmetric matrices may be involved). As a consequence it is proved that the problem of checking whether a symmetric interval matrix is a \(P\)-matrix is NP-hard.
Jiri Rohn, Georg Rex
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Intervals of Inverse M-Matrices

Reliable Computing, 2002
A \(P\)-matrix is a square matrix whose principal minors are positive, a \(Z\)-matrix is a square matrix whose off-diagonal entries are nonpositive, and an (invertible) \(M\)-matrix is one that is both a \(P\)-matrix and a \(Z\)-matrix. An inverse \(M\)-matrix is a matrix whose inverse is an \(M\)-matrix; necessarily such a matrix has positive ...
Charles R. Johnson, Ronald L. Smith
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Supporting risk management decision making by converting linguistic graded qualitative risk matrices through interval type-2 fuzzy sets

, 2020
Risk matrices are widely used to present results of qualitative and semi-quantitative risk assessment for risk management decision making. There are different types of risk matrix category definitions according to the function and risk acceptance ...
Yizhi Hong, H. Pasman, N. Quddus, M. Mannan   +3 more
semanticscholar   +1 more source

Interval Drazin Monotonicity of Matrices

Vietnam Journal of Mathematics, 2013
It is known that a real square matrix \(A\) is called monotone if \(Ax \geq 0\) implies \(x \geq 0\) for all \(x \in \mathbb{R}^n\). This concept has been generalized in many ways. In this paper, the authors introduce the notion of interval Drazin monotonicity and present a characterization of this concept and a new result for Drazin monotonicity. An \(
Jena, Litismita, Pani, Sabyasachi
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A Theorem on Regularity of Interval Matrices

Reliable Computing, 2005
The author gives a necessary and sufficint condition for regularity of an interval matrix. The condition is practically useful for small dimensions.
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Operations on Interval Matrices

2007
We consider algebraic properties of interval matrices. Operations on interval matrices are strictly connected with interval-valued fuzzy sets. We examine lattice and semigroup properties of interval matrices. Next, we discuss asymptotic properties in semigroup of powers. In particular, a convergence of power sequence is examined.
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Stability of Interval Matrices

IFAC Proceedings Volumes, 1993
Abstract In this paper we investigate the existence of 'facial implications' for the stability of interval matrices. We show that the stability of ( n - 3)-dimensional faces does not imply the stability of the interval matrix ...
P. Padmanabhan, C.V. Hollot
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Generalized eigenvalue problem for interval matrices

Archiv der Mathematik, 2023
Sarishti Singh, G. Panda
semanticscholar   +1 more source