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Titlebook: Mathematical Methods in Systems, Optimization, and Control; Festschrift in Honor Harry Dym,Mauricio C. Oliveira,Mihai Putinar Book 2012 Spr

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Personal Notesol theory and several other sub-disciplines of control and optimization, the UCSD control community is tremendously indebted to Bill for beinga beacon of excellence in control theory and mathematics at UC San Diego and whose presence has facilitated the formation of the new control engineering progr
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After Dinner Biographical Notesis mother was a drama major at Northwestern University and worked in her husband’s oral surgery practice. Bill finished high school at Alamo Heights, TX, at the age of 16. He received his undergraduate degree from the University of Texas at Austin at the age of 19 and completed his PhD at Stanford i
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Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A Surveynt matrix which parametrizes the set of solutions to a Nevanlinna- Pick interpolation or Nehari-Takagi best-approximation problem. We review the basics of this approach and then discuss recent extensions to multivariable settings which were not anticipated in the 1980s.
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A Brief History of the Strong Szegö Limit Theorema simple proof of the strong Szegö limit theorem using some observations and results of Bill Helton. A proof of an exact identity for the determinants is also given along with some applications of the theorem and generalizations to other classes of operators.
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Riccati or Square Root Equation? The Semi-separable Case, it is an indirect equation, many of these problems can be viewed as special cases of some type of inner-outer factorization, which then can be solved through a linear equation called a ‘square root equation’ – as it involves a matrix square root of the unknown in the Riccati equation. The paper re
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Free Analysis, Convexity and LMI Domainsoncommuting variables amongst which there are no relations – they are . variables. Free analytic maps include vector-valued polynomials in free (noncommuting) variables and form a canonical class of mappings from one noncommutative domain . in say . variables to another noncommutative domain . in .
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