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Norms of Interval Matrices

, 2011
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Interval P-Matrices

, 1994
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Interval and Parametric Interval Matrices

, 2018
We start this chapter from an overview of the preliminary theory on interval matrices (cf. Neumaier, Interval methods for systems of equations. Cambridge University Press, Cambridge (1990) [160]), since it lays a basis for our main theoretical considerations. The remaining part of the chapter is devoted to parametric interval vectors and matrices.
I. Skalna
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Extremal eigenvalue intervals of symmetric tridiagonal interval matrices

Numerical Linear Algebra with Applications, 2017
SummaryComputing the extremal eigenvalue bounds of interval matrices is non‐deterministic polynomial‐time (NP)‐hard. We investigate bounds on real eigenvalues of real symmetric tridiagonal interval matrices and prove that for a given real symmetric tridiagonal interval matrices, we can achieve its exact range of the smallest and largest eigenvalues ...
Yuan Jian
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Intervals of H-matrices and inverse M-matrices

Linear Algebra and its Applications, 2021
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Manami Chatterjee, K.C. Sivakumar
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Stability Analysis for Interval Type-2 Fuzzy Systems by Applying Homogenous Polynomially Membership Functions Dependent Matrices and Switching Technique

IEEE transactions on fuzzy systems, 2021
In this article, the homogenous polynomially membership functions dependent (HPMFD) matrices are used to study the interval type-2 Takagi–Sugeno fuzzy systems. First, some necessary notations of the HPMFD matrices are introduced.
Likui Wang, H. Karimi, Junhua Gu
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Regularity of interval fuzzy matrices

Fuzzy Sets and Systems, 2023
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Helena Mysková, Ján Plávka
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Computing the spectral decomposition of interval matrices and a study on interval matrix power

Applied Mathematics and Computation, 2019
We present an algorithm for computing a spectral decomposition of an interval matrix as an enclosure of spectral decompositions of particular realizations of interval matrices.
David Hartman, M. Hladík, David Ríha
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