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CATEGORIES:CUED Control Group Seminars
SUMMARY:Attasi ND systems\, polynomial system solving and
algebraic optimization - Bernard Hanzon (Universit
y College Cork)
DTSTART;TZID=Europe/London:20170929T140000
DTEND;TZID=Europe/London:20170929T150000
UID:TALK79141AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/79141
DESCRIPTION:This talk will unify the results about the eigenva
lue approach to polynomial system solving from the
Attasi ND systems standpoint. In fact one needs t
o use autonomous Attasi ND systems which were not
really defined in Attasi's original paper. But onc
e that is done the so-called Stetter matrices of a
polynomial system with finite number of solutions
(over the complex numbers) follow directly from A
ttasiās realization theory.\n\nI will then discuss
the approach followed in the work with Bleylevens
and Peeters on determining the solutions of syste
ms of polynomial equations using large eigenvalue
solvers\, where we use recursive solution of the N
D system equations to obtain the result of the act
ion of the shift matrices on the initial state. I
will also describe possibilities for computing th
ese recursions on a FPGA chip by using the FIFO (f
irst-in-first-out) facility.
LOCATION: Cambridge University Engineering Department\, LR3
CONTACT:Tim Hughes
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