Browsing Mathematics (Faculty of) by Subject "hyperbolic polynomials"
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Geometry of convex sets arising from hyperbolic polynomials
(University of Waterloo, 2008-09-09)This thesis focuses on convex sets and convex cones defined using hyperbolic polynomials. We first review some of the theory of convex sets in $\R^d$ in general. We then review some classical algebraic theorems concerning ... -
Variational Spectral Analysis
(University of Waterloo, 2000)We present results on smooth and nonsmooth variational properties of {it symmetric} functions of the eigenvalues of a real symmetric matrix argument, as well as {it absolutely symmetric} functions of the singular values ...