Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1242.65102
Dayton, Barry H.; Li, Tien-Yien; Zeng, Zhonggang
Multiple zeros of nonlinear systems. (English)
[J] Math. Comput. 80, No. 276, 2143-2168 (2011). ISSN 0025-5718; ISSN 1088-6842/e

The authors study the multiplicity for general nonlinear systems at an isolated zero. It formulates the multiplicity, presents a method for computing the multiplicity structure, proposes an algorithm for the accurate computation of multiple zeros, and introduces a basic algebraic theory of multiplicity. The results give a consistent bridge between numerical analysis and algebraic geometry. Numerical results are shown to accurately compute the multiplicity and the multiple zeros for perturbed nonlinear systems.
[János Karátson (Budapest)]

MSC 2000:: *65H10 Systems of nonlinear equations (numerical methods)

Keywords: multiple zeros; nonlinear systems; multiplicity; algebraic geometry; multiplicity; nonlinear system; algorithm; numerical result

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]