Name
Abstract | ||
|---|---|---|
We suggest a new approach to finding the maximal and the minimal spectral radii of linear operators from a given compact family of operators, which share a common invariant cone (e.g., family of nonnegative matrices). In the case of families with the so-called product structure, this leads to efficient algorithms for optimizing the spectral radius and for finding the joint and lower spectral radii of the family. Applications to the theory of difference equations and to problems of optimizing the spectral radius of graphs are considered. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/110850967 | SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS |
Keywords | Field | DocType |
nonnegative matrix,spectral radius,optimization methods,difference equation,spectrum of a graph | Differential equation,Mathematical optimization,Spectral radius,Nonnegative matrix,Mathematical analysis,Radius,Invariant (mathematics),Operator (computer programming),Mathematics,Spectral theorem | Journal |
Volume | Issue | ISSN |
34 | 3 | 0895-4798 |
Citations | PageRank | References |
4 | 0.75 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yurii Nesterov | 1 | 1800 | 168.77 |
| Vladimir Protasov | 2 | 46 | 5.29 |