Contributions to Books:

W. Auzinger, W. Herfort:
"An Application of Gröbner Bases to perturbed Polynomial Equations";
in: "ASC Report 01/2015", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2015, ISBN: 978-3-902627-08-7, 1 - 11.

English abstract:
The interplay of symbolic and numerical calculations in polynomial algebra is featured in the seminal monograph (4) by H.J. Stetter. We present a contribution to this field in form of an ideal-theoretic approach for determining solutions of an a perturbed polynomial system which are close to the zeros of the system subject to perturbation. Algorithmically, identifying these zeros is of special interest if the unperturbed system has a nontrivial solution manifold while the perturbed system admits only isolated zeros.

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.