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» The Complexity of the Annihilating Polynomial
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69
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DM
2007
72views more  DM 2007»
15 years 15 days ago
Multicomplexes and polynomials with real zeros
We show that each polynomial a(z)=1+a1z+· · ·+adzd in N[z] having only real zeros is the f-polynomial of a multicomplex. It follows that a(z) is also the h-polynomial of a Cohe...
Jason Bell, Mark Skandera
99
Voted
CORR
1998
Springer
105views Education» more  CORR 1998»
15 years 6 days ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas
105
Voted
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
14 years 11 months ago
Factorization of Polynomials and GCD Computations for Finding Universal Denominators
We discuss the algorithms which, given a linear difference equation with rational function coefficients over a field k of characteristic 0, compute a polynomial U(x) ∈ k[x] (a ...
Sergei A. Abramov, A. Gheffar, D. E. Khmelnov
STOC
2003
ACM
96views Algorithms» more  STOC 2003»
16 years 25 days ago
Optimal oblivious routing in polynomial time
A recent seminal result of R?acke is that for any network there is an oblivious routing algorithm with a polylog competitive ratio with respect to congestion. Unfortunately, R?ack...
Yossi Azar, Edith Cohen, Amos Fiat, Haim Kaplan, H...
99
Voted
ICASSP
2009
IEEE
15 years 7 months ago
Minimax design of adjustable FIR filters using 2D polynomial methods
The problem under study here is the minimax design of linearphase lowpass FIR filters having variable passband width and implemented through a Farrow structure. We have two main ...
Bogdan Dumitrescu, Bogdan C. Sicleru, Radu Stefan