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Quadratic Support Functions in Quadratic Bilevel Problems
2018We consider bilevel problem in the following formulation. The follower problem is a convex quadratic problem which linearly depends on the leader variable. The leader problem is a quadratic problem. We are looking for an optimistic solution. Optimal value function of the follower problem is used to reformulate bilevel problem as a standard (one-level ...
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Quadratic functionals and sesquilinear forms
2004The problem of the representability of quadratic functionals by sesquilinear forms arises from the well-known Jordan – von Neumann characterization of inner product spaces among normed spaces via the parallelogram identity. The aim of this talk is to present some recent algebraic Jordan - von Neumann type theorems in the setting of modules over ...
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Background removal from spectra by designing and minimising a non-quadratic cost function
Chemometrics and Intelligent Laboratory Systems, 2005Vincent Mazet, Cédric Carteret
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