TU Berlin

Fachgebiet Algorithmische AlgebraPublications

Page Content

to Navigation

There is no English translation for this web page.

Search for Publication

Search for publications

All Publications

A stable, polynomial-time algorithm for the eigenpair problem
Citation key BC-A-Stable-Polynomial-Time-Algorithm-For-The-Eigenpair-Problem
Author Peter Bürgisser and Felipe Cucker
Year 2014
Month 10
Note This preprint was merged in 2015 with arXiv:1410.2179 into arXiv:1505.03290.
Abstract We describe algorithms for computing eigenpairs (eigenvalue-eigenvector) of a complex $n× n$ matrix $A$. These algorithms are numerically stable, strongly accurate, and theoretically efficient (i.e., polynomial-time). We do not believe they outperform in practice the algorithms currently used for this computational problem. The merit of our paper is to give a positive answer to a long-standing open problem in numerical linear algebra.
Link to publication Download Bibtex entry


Quick Access

Schnellnavigation zur Seite über Nummerneingabe