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- Publisher Website: 10.1016/j.laa.2004.06.016
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Article: Localization of Perron roots
| Title | Localization of Perron roots |
|---|---|
| Authors | |
| Keywords | Perron complement and Perron root Nonnegative irreducible matrix Spectral radius |
| Issue Date | 2004 |
| Citation | Linear Algebra and Its Applications, 2004, v. 392, n. 1-3, p. 103-117 How to Cite? |
| Abstract | This paper is concerned with the localization of the Perron root of a nonnegative irreducible matrix A. A new localization method that utilizes the relationship between the Perron root of a nonnegative matrix and the estimates of the row sums of its generalized Perron complement is presented. The method is efficient because it gives the bounds on ρ(A) only by computing the estimates of the row sums of the generalized Perron complement rather than the generalized Perron complement itself. Several numerical examples are given to illustrate the effectiveness of our method. © 2004 Elsevier Inc. All rights reserved. |
| Persistent Identifier | http://hdl.handle.net/10722/276661 |
| ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.837 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Lu, Linzhang | - |
| dc.contributor.author | Ng, Michael K. | - |
| dc.date.accessioned | 2019-09-18T08:34:17Z | - |
| dc.date.available | 2019-09-18T08:34:17Z | - |
| dc.date.issued | 2004 | - |
| dc.identifier.citation | Linear Algebra and Its Applications, 2004, v. 392, n. 1-3, p. 103-117 | - |
| dc.identifier.issn | 0024-3795 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/276661 | - |
| dc.description.abstract | This paper is concerned with the localization of the Perron root of a nonnegative irreducible matrix A. A new localization method that utilizes the relationship between the Perron root of a nonnegative matrix and the estimates of the row sums of its generalized Perron complement is presented. The method is efficient because it gives the bounds on ρ(A) only by computing the estimates of the row sums of the generalized Perron complement rather than the generalized Perron complement itself. Several numerical examples are given to illustrate the effectiveness of our method. © 2004 Elsevier Inc. All rights reserved. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Linear Algebra and Its Applications | - |
| dc.subject | Perron complement and Perron root | - |
| dc.subject | Nonnegative irreducible matrix | - |
| dc.subject | Spectral radius | - |
| dc.title | Localization of Perron roots | - |
| dc.type | Article | - |
| dc.description.nature | link_to_OA_fulltext | - |
| dc.identifier.doi | 10.1016/j.laa.2004.06.016 | - |
| dc.identifier.scopus | eid_2-s2.0-5444247873 | - |
| dc.identifier.volume | 392 | - |
| dc.identifier.issue | 1-3 | - |
| dc.identifier.spage | 103 | - |
| dc.identifier.epage | 117 | - |
| dc.identifier.isi | WOS:000224780900009 | - |
| dc.identifier.issnl | 0024-3795 | - |