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比利时vs摩洛哥足彩 ,
university of california san diego

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math 295 - mathematics colloquium

mihai putinar

ucsb

matrix positivity preservers in fixed dimension

abstract:

a celebrated 1942 result of schoenberg characterizes all entry-wise functions which preserve positivity of matrices of any size. i will present a characterization of polynomials which preserve positivity when applied entry-wise on matrices of a fixed dimension. all put in historical context and motivated by recent demands of statistics of large data and optimization theory. a sketch of the proof will take a detour through the representation theory of the symmetric group.

hosts: bill helton and jiawang nie

may 14, 2015

4:00 pm

ap&m 6402

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