An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor

Liu, Y.; Zhou, Guanglu; Ibrahim, Nur Fadhilah

doi:10.1016/j.cam.2010.06.002

Access Status

Open access via publisher

Authors

Liu, Y.

Zhou, Guanglu

Ibrahim, Nur Fadhilah

Date

2010

Type

Journal Article

Metadata

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Citation

Liu, Y. and Zhou, G. and Ibrahim, N.F. 2010. An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor. Journal of Computational and Applied Mathematics. 235 (1): pp. 286-292.

Source Title

Journal of Computational and Applied Mathematics

DOI

10.1016/j.cam.2010.06.002

ISSN

0377-0427

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/29734

Collection

Curtin Research Publications

Abstract

In this paper we propose an iterative method to calculate the largest eigenvalue of a nonnegative tensor. We prove this method converges for any irreducible nonnegative tensor. We also apply this method to study the positive definiteness of a multivariate form.