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AAIM
2006
Springer
97views Algorithms» more  AAIM 2006»
15 years 6 months ago
Note on an Auction Procedure for a Matching Game in Polynomial Time
Abstract. We derive a polynomial time algorithm to compute a stable solution in a mixed matching market from an auction procedure as presented by Eriksson and Karlander [5]. As a s...
Winfried Hochstättler, Hui Jin 0002, Robert N...
CORR
2007
Springer
74views Education» more  CORR 2007»
15 years 20 days ago
Computing Minimal Polynomials of Matrices
We present and analyse a Monte-Carlo algorithm to compute the minimal polynomial of an n × n matrix over a finite field that requires O(n3 ) field operations and O(n) random v...
Max Neunhöffer, Cheryl E. Praeger
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
15 years 7 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
106
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CADE
2008
Springer
15 years 2 months ago
Aligator: A Mathematica Package for Invariant Generation (System Description)
We describe the new software package Aligator for automatically inferring polynomial loop invariants. The package combines algorithms from symbolic summation and polynomial algebra...
Laura Kovács
COCO
2010
Springer
149views Algorithms» more  COCO 2010»
15 years 3 months ago
The Gaussian Surface Area and Noise Sensitivity of Degree-d Polynomial Threshold Functions
Abstract. We prove asymptotically optimal bounds on the Gaussian noise sensitivity of degree-d polynomial threshold functions. These bounds translate into optimal bounds on the Gau...
Daniel M. Kane