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UID:www.tcs.tifr.res.in/event/1020
DTSTAMP:20230914T125947Z
SUMMARY:When are Commuting Matrices Simultaneously Diagonalisable?
DESCRIPTION:Speaker: Anamay Tengse\n\nAbstract: \nAbstract: Say we are "gi
ven" a set of matrices S\, such that for any two matrices A and B from S\,
we have AB=BA. What kind of "structure" can we assume for the matrices in
S?\n\nIt can be shown that for any such set S\, there is a common basis u
nder which every matrix in S will be _upper triangular_. One can also argu
e that there are sets of commuting matrices which are not simultaneously _
diagonalisable_.\n\nIn the talk\, we will first convince ourselves of the
above two facts. We will then see a sufficient criterion\, under which a s
et S of commuting matrices are simultaneously diagonalisable.\nP.S.: I kno
w the criterion from a work of Moller and Stetter (1995)\, but theirs is a
lmost surely not the first work to observe this fact. Basic knowledge abou
t polynomials and linear algebra will suffice to follow the talk.\n
URL:https://www.tcs.tifr.res.in/web/events/1020
DTSTART;TZID=Asia/Kolkata:20191129T171500
DTEND;TZID=Asia/Kolkata:20191129T181500
LOCATION:A-201 (STCS Seminar Room)
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