R.A. Hauser and O. Guler. Self-scaled barrier functions on symmetric cones and their classi cation. Found. Comput. Math., 2:121-143, 2002. Home/Search Document Details and Download
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The Mathematics Of Eigenvalue Optimization - Lewis (2003) (1 citation) (Correct)
....broad framework of hyperbolic polynomials lies in the lack of any obvious duality theory. At the opposite extreme, the algebraic framework unifying the most successful primal dual interior point methods for conic convex programs, namely that of Euclidean Jordan algebras, is rather narrow in scope [26]. In this section we consider an intermediate algebraic framework, covering an interesting range of examples but with a duality theory rich enough to subsume the development in Section 1 around von Neumann s characterization of unitarily invariant norms. This section (and this section alone) is ....
R. Hauser and O. Guler. Self-scaled barrier functions on symmetric cones and their classi cation. Foundations of Computational Mathematics, 2:121-143, 2002.
Geometry of Homogeneous Convex Cones, Duality Mapping, and .. - Truong, Tunçel (2002) (Correct)
....When we restrict K to the set of symmetric cones, then we have the notion of self scaled barriers for K. In this context, the other most relevant results are those given by rst Nesterov Todd [13] 14] on the foundations of self scaled barriers) then by Hauser [8] Schmieta [20] Hauser G uler [9], and Hauser Lim [10] also see [22] about a geometric mean like characterization of self scaled barriers) It follows from these works that an optimal self scaled barrier is unique up to an additive constant. Here, we formalize the necessary and sucient conditions for an optimal barrier F to be ....
R. A. Hauser and O. Guler, Self-scaled barrier functions on symmetric cones and their classi cation, Foundations of Computational Mathematics 2, (2002) 121-143.
The Nesterov-Todd Direction and its Relation to Weighted Analytic .. - Hauser Self-citation (Hauser) (Correct)
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R.A. Hauser and O. Guler. Self-scaled barrier functions on symmetric cones and their classi cation. Found. Comput. Math., 2:121-143, 2002.
Self-Scaled Barriers for Irreducible Symmetric Cones - Hauser, Lim (2001) (2 citations) Self-citation (Hauser) (Correct)
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R. A. Hauser and O. Guler. Self--Scaled Barrier Functions on Symmetric Cones and Their Classification. Numerical Analysis Report DAMTP 2001.
Geometry of Homogeneous Convex Cones, Duality Mapping, and .. - Truong, Tunçel (2003) (Correct)
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R. A. Hauser and O. Guler, Self-scaled barrier functions on symmetric cones and their classi cation, Foundations of Computational Mathematics 2 (2002) 121-143.
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