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ISSAC
1998
Springer
101views Mathematics» more  ISSAC 1998»
14 years 2 months ago
Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots
Continuous changes of the coefficients of a polynomial move the roots continuously. We consider the problem finding the minimal perturbations to the coefficients to move a root to...
Markus A. Hitz, Erich Kaltofen
FOCS
1991
IEEE
14 years 1 months ago
Computing Sums of Radicals in Polynomial Time
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
Johannes Blömer
CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 10 months ago
Chunky and Equal-Spaced Polynomial Multiplication
Finding the product of two polynomials is an essential and basic problem in computer algebra. While most previous results have focused on the worst-case complexity, we instead emp...
Daniel S. Roche
ICIP
2001
IEEE
14 years 11 months ago
Face detection from cluttered images using a polynomial neural network
In this paper, we propose a new method for face detection from cluttered images. We use a polynomial neural network (PNN) for separation of face and non-face patterns while the co...
Lin-Lin Huang, Akinobu Shimizu, Yoshihiro Hagihara...
CORR
2007
Springer
74views Education» more  CORR 2007»
13 years 10 months 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