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Mathieu Subspaces of Univariate Polynomial Algebras
Mathieu subspaces the (Strong) Image Conjecture the (Strong) Integral Conjecture
2011/1/20
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals.We then deduce that for some classes of classical univariate
orthogonal...
Root Isolation of Zero-dimensional Polynomial Systems with Linear Univariate Representation
Zero-dimensional polynomial system linear univariate representation local generic position root isolation
2013/9/9
In this paper, a linear univariate representation for the roots of a zero-dimensional polynomial equation system is presented, where the roots of the equation system are represented as linear combinat...
UNIVARIATE ORE POLYNOMIAL RINGS IN COMPUTER ALGEBRA
UNIVARIATE POLYNOMIAL RINGS COMPUTER ALGEBRA
2013/9/3
We present some algorithms related to rings of Ore polynomials (or, briefly, Ore rings) and describe a computer algebra library for basic operations in an arbitrary Ore ring. The library can be used a...