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Interval-constrained matrix balancing
Linear Algebra and its Applications, 1991 The following two problems are studied: 1. Given a nonnegative (m,n)-matrix \(A=(a_{ij})\) and positive vectors u, v; determine a `nearby' nonnegative (m,n)-matrix \(X=(x_{ij})\) such that \(\sum_{j}x_{ij}=u_ i\), \(i=1,...,m\), \(\sum_{i}x_{ij}=v_ j\), \(j=1,...,n\) and \(x_{ij}>0\) only if \(a_{ij}>0.\) 2.
Censor, Yair +3 more
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Polynomial and Pseudopolynomial Procedures for Solving Interval Two-Sided (Max, Plus)-Linear Systems
Mathematics, 2021 Max-plus algebra is the similarity of the classical linear algebra with two binary operations, maximum and addition. The notation Ax = Bx, where A, B are given (interval) matrices, represents (interval) two-sided (max, plus)-linear system.
Helena Myšková, Ján Plavka
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Demonstratio Mathematica, 2010 AbstractWe propose new notions of monotonicity for real matrices in order to characterize a particular notion of interval boundedness of various generalized inverses.
Sachindranath Jayaraman, K. C. Sivakumar
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Matrix Factorization with Interval-Valued Data [PDF]
2020 IEEE 36th International Conference on Data Engineering (ICDE), 2020 With many applications relying on multi-dimensional datasets for decision making, matrix factorization (or decomposition) is becoming the basis for many knowledge discoveries and machine learning tasks, from clustering, trend detection, anomaly detection, to correlation analysis. Unfortunately, a major shortcoming of matrix analysis operations is that,
Mao-Lin Li +3 more
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Robust Decentralized
IEEE Access, 2019 To deal with the nonlinear coupling, strong disturbances and parametric uncertainties existing in the multi-motor web-winding system, a robust decentralized H∞ control method is proposed in this paper.
Jie Chen, Hailiang Hou, Tongguang Yang
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The Flow Matrix Offers a Straightforward Alternative to the Problematic Markov Matrix
Land, 2023 The Flow matrix is a novel method to describe and extrapolate transitions among categories. The Flow matrix extrapolates a constant transition size per unit of time on a time continuum with a maximum of one incident per observation during the ...
Jessica Strzempko +1 more
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Robustness of Interval Monge Matrices in Fuzzy Algebra
Mathematics, 2020 Max–min algebra (called also fuzzy algebra) is an extremal algebra with operations maximum and minimum. In this paper, we study the robustness of Monge matrices with inexact data over max–min algebra.
Máté Hireš +2 more
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Improved Method of Interval valued neutrosophic matrix composition and Its Application in Medical Diagnosis [PDF]
Neutrosophic Sets and SystemsNeutrosophic sets are an important branch of topology that addresses issues with inconsistent, indeterminate, and uncertain situations in everyday life.
S. Sathiya, A. Puspalatha
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Enclosures for the solution set of parametric interval linear systems
International Journal of Applied Mathematics and Computer Science, 2012 We investigate parametric interval linear systems of equations. The main result is a generalization of the Bauer–Skeel and the Hansen–Bliek–Rohn bounds for this case, comparing and refinement of both.
Hladík Milan
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On the discrete spectrum of complex banded matrices [PDF]
, 2005 The discrete spectrum of complex banded matrices which are compact perturbations of the standard banded matrix of order $p$ is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order which provides finiteness of ...
Golinskii, L., Kudryavtsev, M.
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