Numerical algebraic geometry and semidefinite programming

Numerical algebraic geometry and semidefinite programming

Standard interior point methods in semidefinite programming can be viewed as tracking a solution path for a homotopy defined by a system of bilinear equations. By considering this in the context of numerical algebraic geometry, we employ numerical algebraic geometric techniques such as adaptive prec...

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Bibliographic Details
Main Authors: Jonathan D. Hauenstein, Alan C. Liddell, Jr., Sanesha McPherson, Yi Zhang
Format: Article
Language:English
Published: Elsevier 2021-08-01
Series:Results in Applied Mathematics
Subjects:
Numerical algebraic geometry
Semidefinite programming
Infeasible
Facial reduction
Homotopy continuation
Projective space
Online Access:http://www.sciencedirect.com/science/article/pii/S259003742100025X

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http://www.sciencedirect.com/science/article/pii/S259003742100025X

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