Name
Abstract | ||
|---|---|---|
We prove that if a finite matrix A of the form [aIB0C]is such that its numerical range W(A) is a circular disc centered at a, then a must be an eigenvalue of C. As consequences, we obtain, for any finite matrix A, that (a) if ∂W(A) contains a circular arc, then the center of this circle is an eigenvalue of A with its geometric multiplicity strictly less than its algebraic multiplicity, and (b) if A is similar to a normal matrix, then ∂W(A) contains no circular arc. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.aml.2011.06.010 | Applied Mathematics Letters |
Keywords | Field | DocType |
Numerical range,Geometric multiplicity,Algebraic multiplicity,Normal matrix | Arc (geometry),Of the form,Matrix (mathematics),Mathematical analysis,Multiplicity (mathematics),Numerical range,Eigenvalues and eigenvectors,Mathematics,Normal matrix | Journal |
Volume | Issue | ISSN |
24 | 12 | 0893-9659 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pei Yuan Wu | 1 | 16 | 3.96 |