Convergence and Boundedness of Probability-One Homotopies for Model Order Reduction

The optimal model reduction problem is an inherently nonconvex problem and thus provides a nontrivial computational challenge. This study systematically examines the requirements of probability-one homotopy methods to guarantee global convergence. Homotopy algorithms for nonlinear systems of eq...

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Bibliographic Details
Main Author: Wang, Yuan
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/30716
http://scholar.lib.vt.edu/theses/available/etd-81797-165028/