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- Illinois Institute of TechnologyUS3 papers
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4 papers · 1 filter
Multiple zeros of nonlinear systems
Barry H. Dayton, Tien-Yien Li, Zhonggang Zeng
As an attempt to bridge between numerical analysis and algebraic geometry, this paper formulates the multiplicity for the general nonlinear system at an isolated zero, presents an…
The numerical factorization of polynomials
Wenyuan Wu, Zhonggang Zeng
Polynomial factorization in conventional sense is an ill-posed problem due to its discontinuity with respect to coefficient perturbations, making it a challenge for numerical compu…
The numerical greatest common divisor of univariate polynomials
Zhonggang Zeng
This paper presents a regularization theory for numerical computation of polynomial greatest common divisors and a convergence analysis, along with a detailed description of a blac…
Geometric modeling and regularization of algebraic problems
Zhonggang Zeng
Discontinuity with respect to data perturbations is common in algebraic computation where solutions are often highly sensitive. Such problems can be modeled as solving systems of e…