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SUMMARY:Attasi ND systems\, polynomial system solving and algebraic optimi
 zation - Bernard Hanzon (University College Cork)
DTSTART:20170929T130000Z
DTEND:20170929T140000Z
UID:TALK79141@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:This talk will unify the results about the eigenvalue approach
  to polynomial system solving from the Attasi ND systems standpoint. In fa
 ct one needs to use autonomous Attasi ND systems which were not really def
 ined in Attasi's original paper. But once that is done the so-called Stett
 er matrices of a polynomial system with finite number of solutions (over t
 he complex numbers) follow directly from Attasi’s realization theory.\n\
 nI will then discuss the approach followed in the work with Bleylevens and
  Peeters on determining the solutions of systems of polynomial equations u
 sing large eigenvalue solvers\, where we use recursive solution of the ND 
 system equations to obtain the result of the action 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 (first-in-first-out) facil
 ity.
LOCATION: Cambridge University Engineering Department\, LR3
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