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Nonnegativity of quadratic forms on intersections of quadrics and quadratic maps

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Publication:635601
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DOI10.1134/S0001434608070171zbMath1219.90183OpenAlexW2061663474MaRDI QIDQ635601

Aram V. Arutyunov

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608070171


zbMATH Keywords

quadratic formquadratic conebilinear mapquadratic mapsard's theoremabnormal pointregular zero of a quadratic function


Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46)


Related Items (6)

On surjective quadratic mappings ⋮ Properties of the minimum function in the quadratic problem ⋮ Some properties of two-dimensional surjective \(p\)-homogeneous maps ⋮ The Dines theorem and some other properties of quadratic mappings ⋮ Elliptic quadratic operator equations ⋮ Differential properties of the minimum function for diagonalizable quadratic problems



Cites Work

  • Convexity of quadratic transformations and its use in control and optimization
  • Optimization and nonsmooth analysis
  • Necessary optimality conditions for abnormal problems with geometric constraints


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