Found an issue? Give us feedback

https://doi.org/10.1...arrow_drop_down

https://doi.org/10.1007/978-1-...

Part of book or chapter of book . 2010 . Peer-reviewed

Data sources: Crossref

https://rd.springer.com/chapte...

Other literature type

Data sources: Microsoft Academic Graph

Select content type to embed

All Research products

arrow_drop_down

<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Eigenvalues and Eigenvectors

Name: Eigenvalues and Eigenvectors
Creator: Peter Butkovič

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2010Publisher:Springer London

Authors: Peter Butkovič;

doi: 10.1007/978-1-84996-299-5_4

Eigenvalues and Eigenvectors

- Summary
- Metrics

Abstract

A detailed account of the max-algebraic eigenvalue-eigenvector theory for square matrices over reals extended by minus infinity is provided. This theory is similar (but not identical) with the Perron-Frobenius theory for non-negative matrices in linear algebra. The algorithms presented and proved here enable us to find all eigenvalues and bases of all eigenspaces in almost linear time. These results are of fundamental importance for solving the reachability problems in Chap. 8 and elsewhere.

Related Organizations

University of Birmingham
United Kingdom

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Upload OA version

Are you the author? Do you have the OA version of this publication?

uploadUpload now!