On Relation Between P-Matrices and Regularity of Interval Matrices

DOI10.1007/978-3-319-49984-0_2OpenAlexW2593730475MaRDI QIDQ4554517

Milan Hladík

Publication date: 14 November 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-49984-0_2

zbMATH Keywords

linear complementarityinterval analysisP-matrixinterval matrix

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30)

Related Items (1)

Stability of the linear complementarity problem properties under interval uncertainty

Uses Software

• VERSOFT

Cites Work

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• A note on generating \(P\)-matrices
• Systems of linear interval equations
• Intervals of P-matrices and related matrices
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• The P-matrix problem is co-NP-complete
• Computational complexity and feasibility of data processing and interval computations
• On Rump's characterization of \(P\)-matrices
• Checking robust nonsingularity is NP-hard
• On \(P\)-matrices
• A Class of P-Matrices with Applications to the Localization of the Eigenvalues of a Real Matrix
• Introduction to Interval Analysis
• Interval Methods for Systems of Equations
• Sufficient Conditions for Regularity and Singularity of Interval Matrices
• A Linear Complementarity Problem with a P-Matrix
• Interval P-Matrices
• Convex sets of nonsingular and P:–Matrices
• Linear Optimization Problems with Inexact Data

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