【摘 要】
:
The Characteristic Set Method of Wen Tsun Wu has freed Ritt's decomposition from polynomial factorization,opening the door to a variety of discoveries in po
【机 构】
:
The Univ.of Western Ontario
论文部分内容阅读
The Characteristic Set Method of Wen Tsun Wu has freed Ritt's decomposition from polynomial factorization,opening the door to a variety of discoveries in polynomial system solving.In the past three decades the work of Wu has been extended to more powerful decomposition algorithms and applied to different types of polynomial systems or decompositions: differential systems,difference systems,real parametric systems,primary decomposition,cylindrical algebraic decomposition.
其他文献
In this talk,we are concerned with the problem of determining the existence of multiple equilibria in economic models.We propose a general and complete appr
Photoacoustic Imaging is a promising imaging method that visualizes biological material parameters.In a typical PAT session,the object is exposed to a short
We present a new upper bound for the effective differential Nullstellensatz for differential fields of characteristic zero with several commuting derivation
We introduce a class of term-rewriting systems on free modules and proved some general results on confluence,termination and convergence.The results are app
We present a generic position method for isolating the real roots of a zero-dimensional polynomial system.The method mainly involves resultant computation a
Nonsmoothness is a typical characteristic of numerous target functions.We present an optimization method based on algorithmic differentiation for Lipschitzi
Piecewise linear systems of equations arise as approximations of nonsmooth functions and are derived by a minor modification of techniques from Algorithmic
This presentation combines recent theoretical developments in nonsmooth dynamic sensitivity analysis with new integration methods involving piecewise linear
Piecewise linear dynamical systems can be solved up to working accuracy as a sequence of linear systems.In each open polyhedron the solution is defined by t
We consider estimating pure characteristics demand models.The main difficulty in solving this problem is that market share equations are nonsmooth.To overco