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ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
14 years 3 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
MOC
2011
12 years 11 months ago
Calculating cyclotomic polynomials
Abstract. We present three algorithms to calculate Φn(z), the nth cyclotomic polynomial. The first algorithm calculates Φn(z) by a series of polynomial divisions, which we perfo...
Andrew Arnold, Michael B. Monagan
SC
2009
ACM
14 years 1 months ago
GPU based sparse grid technique for solving multidimensional options pricing PDEs
It has been shown that the sparse grid combination technique can be a practical tool to solve high dimensional PDEs arising in multidimensional option pricing problems in finance...
Abhijeet Gaikwad, Ioane Muni Toke
CN
2007
141views more  CN 2007»
13 years 9 months ago
Identifying lossy links in wired/wireless networks by exploiting sparse characteristics
In this paper, we consider the problem of estimating link loss rates based on end-to-end path loss rates in order to identify lossy links on the network. We first derive a maximu...
Hyuk Lim, Jennifer C. Hou
ISSAC
2009
Springer
121views Mathematics» more  ISSAC 2009»
14 years 3 months ago
Faster real feasibility via circuit discriminants
We show that detecting real roots for honestly n-variate (n + 2)-nomials (with integer exponents and coefficients) can be done in time polynomial in the sparse encoding for any ...
Frédéric Bihan, J. Maurice Rojas, Ca...