Regularity of interval matrices and theorems of the alternatives

DOI10.1007/s11155-006-4877-zzbMath1090.15004OpenAlexW2074777202MaRDI QIDQ811946

Jiří Rohn

Publication date: 23 January 2006

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11155-006-4877-z

zbMATH Keywords

regularityregularity conditionsinterval matricestheorems of the alternatives

Mathematics Subject Classification ID

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

Related Items (3)

Inverse of a fuzzy matrix of fuzzy numbers ⋮ On sign-real spectral radii and sign-real expansive matrices ⋮ A theorem of the alternatives for the equation \(|Ax|-|B||x|=b\)

Cites Work

• Unnamed Item
• Systems of linear interval equations
• Checking robust nonsingularity is NP-hard
• Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
• An existence theorem for systems of linear equations
• A theorem of the alternatives for the equationAx+B|x| =b

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