Verified computation for the matrix Lambert W function

Shinya Miyajima

Applied Mathematics and Computation, 2019, vol. 362, issue C, -

Abstract: Two iterative algorithms are proposed for numerically computing interval matrices containing primary matrix Lambert W functions. The first algorithm is based on a numerical spectral decomposition and involves only cubic complexity per iteration. The second algorithm is based on a numerical Jordan decomposition and applicable even for defective matrices. Numerical results show the effectiveness and robustness of the algorithms.

Keywords: Lambert W function; Primary matrix function; Verified numerical computation (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319305387
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:362:y:2019:i:c:9

DOI: 10.1016/j.amc.2019.06.069

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().