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A theorem of the alternatives for the equation \(|Ax|-|B||x|=b\)

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Publication:691395
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DOI10.1007/s11590-011-0284-4zbMath1257.90045OpenAlexW2033146786MaRDI QIDQ691395

Jiří Rohn

Publication date: 30 November 2012

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-011-0284-4


zbMATH Keywords

regularitysolution setinterval matrixabsolute value equationalternativestriple absolute value equation


Mathematics Subject Classification ID

Linear programming (90C05)


Related Items

Sufficient conditions for the solvability of a Sylvester-like absolute value matrix equation ⋮ Modified HS conjugate gradient method for solving generalized absolute value equations ⋮ Unnamed Item



Cites Work

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  • Systems of linear interval equations
  • Regularity of interval matrices and theorems of the alternatives
  • Absolute value equations
  • Absolute value programming
  • A generalized Newton method for absolute value equations
  • Checking robust nonsingularity is NP-hard
  • Absolute value equation solution via concave minimization
  • On equivalent reformulations for absolute value equations
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