Name
Abstract | ||
|---|---|---|
Given a real matrix, we analyze an open interval, called a row exclusion interval, such that the real eigenvalues do not belong to it. We characterize when the row exclusion interval is nonempty. In addition to the exclusion interval, inclusion intervals for the real eigenvalues, alternative to those provided by the Gerschgorin disks, are also considered for matrices whose off-diagonal entries present a restricted dispersion. The results are applied to obtain a sharp upper bound for the real eigenvalues different from 1 of a positive stochastic matrix and a sufficient condition for the stability of a negative matrix, among other applications. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1137/04061074X | SIAM J. Matrix Analysis Applications |
Keywords | Field | DocType |
real eigenvalues,exclusion interval,negative matrix,gerschgorin disk,inclusion intervals,open interval,real matrix,positive matrices,positive stochastic matrix,row exclusion interval,off-diagonal entry,inclusion interval,stochastic matrix | Dispersion (optics),Combinatorics,Stochastic matrix,Matrix (mathematics),Upper and lower bounds,Mathematical analysis,Pure mathematics,Spectrum of a matrix,Eigenvalues and eigenvectors,Mathematics,Numerical stability | Journal |
Volume | Issue | ISSN |
26 | 4 | 0895-4798 |
Citations | PageRank | References |
2 | 0.63 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. M. Peña | 1 | 681 | 72.88 |