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Reducible Spectral Theory with Applications to the Robustness of Matrices in Max-Algebra
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bfb0023465openalex-snapshot
Methods and applications of (max,+) linear algebra
inferredcites →https://doi.org/10.1007/bfb0033554openalex-snapshot
Rational series over dioids and discrete event systems
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A characterization of the minimum cycle mean in a digraph
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The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: A survey
inferredcites →https://doi.org/10.1016/0024-3795(93)90492-7openalex-snapshot
The power algorithm in max algebra
inferredcites →https://doi.org/10.1016/c2013-0-10361-3openalex-snapshot
Nonnegative Matrices in the Mathematical Sciences
inferredcites →https://doi.org/10.1016/j.laa.2006.09.027openalex-snapshot
On matrix powers in max-algebra
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On the ultimate behavior of the sequence of consecutive powers of a matrix in the max-plus algebra
inferredcites →https://doi.org/10.1016/s0024-3795(00)00020-3openalex-snapshot
Linear matrix period in max-plus algebra
inferredcites →https://doi.org/10.1016/s0024-3795(97)10057-xopenalex-snapshot
A max version of the Perron-Frobenius theorem
inferredcites →https://doi.org/10.1016/s1076-5670(08)70083-1openalex-snapshot
Minimax Algebra and Applications
inferredcites →https://doi.org/10.1016/s1367-5788(99)90091-3openalex-snapshot
Max-plus algebra and system theory: Where we are and where to go now
inferredcites →https://doi.org/10.1017/s0143385704000665openalex-snapshot
On the dynamics of sup-norm non-expansive maps
inferredcites →https://doi.org/10.1017/s0305004105008832openalex-snapshot
Iteration of order preserving subhomogeneous maps on a cone
inferredcites →https://doi.org/10.1057/jors.1962.10openalex-snapshot
Describing Industrial Processes with Interference and Approximating Their Steady-State Behaviour
inferredcites →https://doi.org/10.1088/0951-7715/4/4/010openalex-snapshot
Convergence of iterates of a nonlinear operator arising in statistical mechanics
inferredcites →https://doi.org/10.1090/conm/377/06984openalex-snapshot
Discrete max-plus spectral theory
inferredcites →https://doi.org/10.1090/memo/0659openalex-snapshot
Generalizations of the Perron-Frobenius theorem for nonlinear maps
inferredcites →https://doi.org/10.1109/tac.1985.1103925openalex-snapshot
A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing
inferredcites →https://doi.org/10.1137/s0895479893251782openalex-snapshot
Pattern Properties and Spectral Inequalities in Max Algebra
inferredcites →https://doi.org/10.1201/9781420010572.pt2openalex-snapshot
Combinatorial Matrix Theory
inferredcites →https://doi.org/10.1201/9781439832905openalex-snapshot
Handbook of Discrete and Combinatorial Mathematics
inferredcites →https://doi.org/10.57262/die/1371571149openalex-snapshot
Omega limit sets of nonexpansive maps: finiteness and cardinality estimates
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Max-linear Systems: Theory and Algorithms
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Reachability of Eigenspaces
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New representations for (max,+) automata with applications to performance evaluation and control of discrete event systems
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Triangulation of diagonally dominant min-plus matrices
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A Note on Tropical Linear and Integer Programs
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Calculating Eigenvectors in Max-times Algebra by Mutation-Sunflower Method
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Characterization and algorithm for max-plus supereigenvector problem by parametric programming
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Tolerance types of interval eigenvectors in max-plus algebra
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Tropical totally positive matrices
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Permuted max-algebraic eigenvector problem is NP-complete
inferred← citeshttps://doi.org/10.1016/j.laa.2010.08.027openalex-snapshot
On commuting matrices in max algebra and in classical nonnegative algebra
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Duality and interval analysis over idempotent semirings
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X -robustness of interval circulant matrices in fuzzy algebra
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The robustness of interval fuzzy matrices
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Two cores of a nonnegative matrix
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Non-archimedean valuations of eigenvalues of matrix polynomials
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Polynomial convolutions in max-plus algebra
inferred← citeshttps://doi.org/10.1016/j.laa.2021.11.002openalex-snapshot
Asymptotic formulae and inequalities for point spectrum in max algebra
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The eigenvalues of reducible matrices over min-plus algebra
inferred← citeshttps://doi.org/10.1080/00207721.2020.1837992openalex-snapshot
Analysis of P-time event graphs in (max,+) and (min,+) semirings
inferred← citeshttps://doi.org/10.1080/03081079.2015.1072923openalex-snapshot
The spectra of reducible matrices over complete commutative idempotent semifields and their spectral lattices
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AE and EA versions of X -robustness for interval circulant matrices in max–min algebra
inferred← citeshttps://doi.org/10.1080/03081087.2023.2188155openalex-snapshot
On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra
inferred← citeshttps://doi.org/10.1080/03081087.2024.2316781openalex-snapshot
Independence and orthogonality of algebraic eigenvectors over the max-plus algebra
inferred← citeshttps://doi.org/10.1090/s0002-9947-2012-05605-4openalex-snapshot
CSR expansions of matrix powers in max algebra
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Dimension Reduction and Feedback Stabilization for Max-Plus Linear Systems and Applications in VLSI Array Processors
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Supereigenvalue Problem to Addition-Min Fuzzy Matrix With Application in P2P File Sharing System
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Generalised eigenproblem in max-algebra
inferred← citeshttps://doi.org/10.1137/15m1041031openalex-snapshot
On Special Cases of the Generalized Max-Plus Eigenproblem
inferred← citeshttps://doi.org/10.1177/14613484241247450openalex-snapshot
A fractal modification of the tropical algebra for noise removal and optimal control
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On the max-algebraic core of a nonnegative matrix
inferred← citeshttps://doi.org/10.14736/kyb-2021-4-0594openalex-snapshot
Strong X-robustness of interval max-min matrices
inferred← citeshttps://doi.org/10.20310/2686-9667-2019-24-127-252-271openalex-snapshot
Core of a matrix in max algebra and in nonnegative algebra: A survey
inferred← citeshttps://doi.org/10.22457/ijfma.v14n2a11openalex-snapshot
On the λ-Robustness of Fuzzy Neutrosophic Soft Matrix
inferred← citeshttps://doi.org/10.3233/jifs-234499openalex-snapshot
Eigenproblems in addition-min algebra1
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Robustness of Interval Monge Matrices in Fuzzy Algebra
inferred← citeshttps://doi.org/10.3934/dcds.2017232openalex-snapshot
On the Bonsall cone spectral radius and the approximate point spectrum
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On the max-algebraic core of a nonnegative matrix
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On Tropical Linear and Integer Programs
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Analysis of P-time Event Graphs in (Max,+) and (Min,+) Algebras
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