An extreme point result for convexity, concavity and monotonicity of parameterized linear equation solutions

DOI10.1016/J.LAA.2004.04.031zbMath1059.15011OpenAlexW2070171011MaRDI QIDQ1886525

Ashwin Ganesan, Sheila R. Ross, B. Ross Barmish

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.031

zbMATH Keywords

monotonicityrobustnessconvexitylinear equationsmonotonic functionsconvex and concave dependenceextreme point conditionmultilinear factorizationrank-one dependence

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Linear equations (linear algebraic aspects) (15A06)

Related Items (4)

An extreme point result for convexity, concavity and monotonicity of parameterized linear equation solutions ⋮ Proving endpoint dependence in solving interval parametric linear systems ⋮ Visualizing parametric solution sets ⋮ Solving Linear Systems with Polynomial Parameter Dependency with Application to the Verified Solution of Problems in Structural Mechanics

Cites Work

• The uniform distribution: A rigorous justification for its use in robustness analysis
• An extreme point result for convexity, concavity and monotonicity of parameterized linear equation solutions
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