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DCC
2008
IEEE
14 years 8 months ago
Probabilistic algorithm for finding roots of linearized polynomials
A probabilistic algorithm is presented for finding a basis of the root space of a linearized polynomial L(x) = t i=0 Lixqi over Fqn . The expected time complexity of the presented ...
Vitaly Skachek, Ron M. Roth
ASCM
2007
Springer
328views Mathematics» more  ASCM 2007»
14 years 2 months ago
Basis-Independent Polynomial Division Algorithm Applied to Division in Lagrange and Bernstein Basis
Division algorithms for univariate polynomials represented with respect to Lagrange and Bernstein basis are developed. These algore obtained by abstracting from the classical polyn...
Manfred Minimair
GIAE
2004
Springer
119views Mathematics» more  GIAE 2004»
14 years 1 months ago
Polynomial General Solutions for First Order Autonomous ODEs
For a first order autonomous ODE, we give a polynomial time algorithm to decide whether it has a polynomial general solution and to compute one if it exists. Experiments show that...
Ruyong Feng, Xiao-Shan Gao
EMO
2005
Springer
175views Optimization» more  EMO 2005»
14 years 2 months ago
A New Analysis of the LebMeasure Algorithm for Calculating Hypervolume
We present a new analysis of the LebMeasure algorithm for calculating hypervolume. We prove that although it is polynomial in the number of points, LebMeasure is exponential in the...
R. Lyndon While
ORL
2010
98views more  ORL 2010»
13 years 6 months ago
A facial reduction algorithm for finding sparse SOS representations
Facial reduction algorithm reduces the size of the positive semidefinite cone in SDP. The elimination method for a sparse SOS polynomial ([3]) removes unnecessary monomials for a...
Hayato Waki, Masakazu Muramatsu