Explicit solutions for root optimization of a polynomial family

Given a family of real or complex monic polynomials of fixed degree with one fixed affine constraint on their coefficients, consider the problem of minimizing the root radius (largest modulus of the roots) or abscissa (largest real part of the roots). We give constructive methods for finding globall...

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Bibliographic Details
Main Authors: Blondel, Vincent D., Gurbuzbalaban, Mert, Megretski, Alexandre, Overton, Michael L.
Other Authors: Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2012
Online Access:http://hdl.handle.net/1721.1/73103
https://orcid.org/0000-0001-9088-0205
https://orcid.org/0000-0003-1563-800X

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