Interval matrices: realization of ranks by rational matrices

DOI10.1016/j.laa.2020.09.017zbMath1457.15028arXiv1911.05762OpenAlexW3087230533MaRDI QIDQ2226435

Elena Rubei

Publication date: 12 February 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05762

zbMATH Keywords

rankinterval matricesrational realization

Mathematics Subject Classification ID

General methods in interval analysis (65G40) Basic linear algebra (15A99) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

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• Sign patterns of rational matrices with large rank
• Systems of linear interval equations
• Derived eigenvalues of symmetric matrices, with applications to distance geometry
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• On rank range of interval matrices
• Enclosing solutions of overdetermined systems of linear interval equations
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• Low-rank matrix approximation in the infinity norm
• The minimum rank problem: A counterexample
• Orthogonal representations over finite fields and the chromatic number of graphs
• Rational realizations of the minimum rank of a sign pattern matrix
• Sign patterns with minimum rank 2 and upper bounds on minimum ranks
• On full-rank interval matrices
• Minimum ranks of sign patterns via sign vectors and duality
• Introduction to Interval Analysis
• A generalization of Rohn's theorem on full-rank interval matrices
• Generalization of real interval matrices to other fields
• Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals

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