Name
Abstract | ||
|---|---|---|
In this paper, we consider the localization of generalized eigenvalues, and we discuss ways in which the Gersgorin set for generalized eigenvalues can be approximated. Earlier, Stewart proposed an approximation using a chordal metric. We will obtain here an improved approximation, and using the concept of generalized diagonal dominance, we prove that the new approximation has some of the basic properties of the original Gersgorin set, which makes it a handy tool for generalized eigenvalue localization. In addition, an isolation property is proved for both the generalized Gersgorin set and its approximation. Copyright (c) 2011 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1002/nla.801 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
Keywords | Field | DocType |
GerUgorin sets,generalized eigenvalues,H-matrices | Mathematical optimization,Algebra,Chordal graph,Diagonally dominant matrix,Eigenvalues and eigenvectors,Mathematics,Cartesian coordinate system | Journal |
Volume | Issue | ISSN |
19 | 4 | 1070-5325 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vladimir Kostic | 1 | 13 | 2.66 |
| Richard S. Varga | 2 | 3 | 4.84 |
| Ljiljana Cvetković | 3 | 94 | 22.02 |