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IJAC
2006
87views more  IJAC 2006»
13 years 10 months ago
Evaluation Properties of Symmetric Polynomials
By the fundamental theorem of symmetric polynomials, if P Q[X1, . . . , Xn] is symmetric, then it can be written P = Q(1, . . . , n), where 1, . . . , n are the elementary symmet...
Pierrick Gaudry, Éric Schost, Nicolas M. Th...
EJC
2000
13 years 10 months ago
Further Investigations Involving Rook Polynomials With Only Real Zeros
We study the zeros of two families of polynomials related to rook theory and matchings in graphs. One of these families is based on the cover polynomial of a digraph introduced by ...
James Haglund
MICS
2007
84views more  MICS 2007»
13 years 9 months ago
Pseudospectra of Matrix Polynomials that Are Expressed in Alternative Bases
Spectra and pseudospectra of matrix polynomials are of interest in geometric intersection problems, vibration problems, and analysis of dynamical systems. In this note we consider ...
Robert M. Corless, Nargol Rezvani, Amirhossein Ami...
PDCAT
2009
Springer
14 years 4 months ago
Balanced Dense Polynomial Multiplication on Multi-Cores
Abstract— In symbolic computation, polynomial multiplication is a fundamental operation akin to matrix multiplication in numerical computation. We present efficient implementati...
Marc Moreno Maza, Yuzhen Xie
IJCAI
1993
13 years 11 months ago
A Computational Model of Tractable Reasoning - Taking Inspiration from Cognition
Polynomial time complexity is the usual ‘threshold’ for distinguishing the tractable from the intractable and it may seem reasonable to adopt this notion of tractability in th...
Lokendra Shastri