Interval matrices: regularity generates singularity

DOI10.1016/j.laa.2017.11.020zbMath1380.15007OpenAlexW2770054980MaRDI QIDQ1688911

Sergey P. Shary, Jiří Rohn

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.11.020

zbMATH Keywords

regularitysingularityinterval matrixabsolute value equation\(P\)-matrixdiagonally singularizable matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Interval and finite arithmetic (65G30)

Related Items (2)

Diagonally singularizable matrices ⋮ Convergence of interval AOR method for linear interval equations

Cites Work

• Systems of linear interval equations
• Derived eigenvalues of symmetric matrices, with applications to distance geometry
• Maximum compatibility method for data fitting under interval uncertainty
• The Jacobian matrix and global univalence of mappings
• A theorem on regularity of interval matrices
• On full-rank interval matrices
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