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Intervals of H-matrices and inverse M-matrices
Linear Algebra and its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manami Chatterjee, K.C. Sivakumar
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Regularity of interval fuzzy matrices
Fuzzy Sets and Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helena Mysková, Ján Plávka
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On the stability of interval matrices
Proceedings of the 2004 American Control Conference, 2004A 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 +2 more
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Interval robustness of (interval) max-plus matrices
Discrete Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helena Mysková, Ján Plávka
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SIAM Journal on Matrix Analysis and Applications, 1996
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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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, 2002A \(P\)-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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Interval Drazin Monotonicity of Matrices
Vietnam Journal of Mathematics, 2013It 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, 2005The 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
2007We 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, 1993Abstract 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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