[BANANA] LA/Opt seminar in memory of Sam Karlin (Shmuel Friedland, Dec 3)

[Michael A. Saunders]

   SPECIAL SEMINAR by Shmuel Friedland in memory of SAM KARLIN

   NOTE: SPECIAL ROOM and DINNER AFTERWARD

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   Linear Algebra and Optimization Seminar (CME510)
   iCME, Stanford University
   http://icme.stanford.edu/seminars/seminars.php

   4:15pm Wed 3 December 2008
   SPECIAL ROOM: Bldg 380 Rm 380X (Math Corner of Quad, basement)

   Eigenvalue inequalities, scaling and log-convexity:
            old results and new applications,
            a tribute to Sam Karlin

   Professor Shmuel Friedland
   Department of Mathematics, Statistics and Computer Science
   University of Illinois at Chicago
   friedlan at uic.edu


In a joint work with Sam Karlin in 1975 we established a remarkable
lower bound for the spectral radius of certain families of nonnegative
matrices.  This result and its ramifications became useful in various
applied fields such as mathematical biology, operations research, and
electrical engineering.

In the first part of this talk we outline the main theoretical
results: extremal properties of the Perron-Frobenius theory of
nonnegative matrices, Friedland-Karlin inequality, scaling of
nonnegative matrices, and the log-convexity result of J.F.C. Kingman.

In the second part of the talk we discuss applications of the above
results to the problem of maximizing sum rates in Gaussian
interference-limited channels in cellular communication.

Slides:
    http://www2.math.uic.edu/~friedlan/stanfordpaus08.pdf

Recent paper on the applications to cellular communication:
    http://arxiv.org/abs/0806.2860
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DINNER AFTERWARD:

Those who would like to meet in tribute to Sam Karlin,
please join us with Prof Friedland at

     Cibo Bar & Grill
     3398 El Camino Real, Palo Alto
     6:30pm Wed night Dec 3

a few hundred yards south of Page Mill beside Creekside Inn.
If it's a large group, iCME won't be able to pay for everyone
(sorry), but please let me know if you can come.