Triangular decomposition of polynomial systems:solvers and applications

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:brian125
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
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
会议
  Photoacoustic Imaging is a promising imaging method that visualizes biological material parameters.In a typical PAT session,the object is exposed to a short
会议
  We present a new upper bound for the effective differential Nullstellensatz for differential fields of characteristic zero with several commuting derivation
会议
  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
会议
  We present a generic position method for isolating the real roots of a zero-dimensional polynomial system.The method mainly involves resultant computation a
会议
  Nonsmoothness is a typical characteristic of numerous target functions.We present an optimization method based on algorithmic differentiation for Lipschitzi
会议
  Piecewise linear systems of equations arise as approximations of nonsmooth functions and are derived by a minor modification of techniques from Algorithmic
会议
  This presentation combines recent theoretical developments in nonsmooth dynamic sensitivity analysis with new integration methods involving piecewise linear
会议
  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
会议
  We consider estimating pure characteristics demand models.The main difficulty in solving this problem is that market share equations are nonsmooth.To overco
会议