We present a new approach, requiring the solution of a SemiDefinite Program, for decomposing the Hessian of a nonseparable Mixed-Integer Quadratic problem to permit using perspective cuts to improve its continuous relaxation bound. The new method favorably compares with a previously proposed one requiring a minimum eigenvalue computation.

SDP diagonalizations and perspective cuts for a class of nonseparable MIQP

Frangioni A;Gentile C
2007

Abstract

We present a new approach, requiring the solution of a SemiDefinite Program, for decomposing the Hessian of a nonseparable Mixed-Integer Quadratic problem to permit using perspective cuts to improve its continuous relaxation bound. The new method favorably compares with a previously proposed one requiring a minimum eigenvalue computation.
2007
Istituto di Analisi dei Sistemi ed Informatica ''Antonio Ruberti'' - IASI
Mixed-Integer Quadratic Programs
Valid Inequalities
SemiDefinite Programming
Portfolio Optimization
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/170239
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