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EnglishWe consider Hermitian matrix valued functions depending on three parameters that vary in a bounded surface of $\R^3$ . We study how to detect when such functions have coalescing eigenvalues inside this surface. Our criterion to locate these singularities is based on a construction suggested by Stone in [20]. For generic coalescings, any such singularity is related to a particular accumulation of a certain phase, or lack thereof, as we cover the surface.
Hermitian matrices depending on three parameters: Coalescing eigenvalues. / Dieci L; Pugliese A. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - 436(2012), pp. 4120-4142.
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| Titolo: | Hermitian matrices depending on three parameters: Coalescing eigenvalues. |
| Autori: | |
| Data di pubblicazione: | 2012 |
| Rivista: | |
| Citazione: | Hermitian matrices depending on three parameters: Coalescing eigenvalues. / Dieci L; Pugliese A. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - 436(2012), pp. 4120-4142. |
| Abstract: | We consider Hermitian matrix valued functions depending on three parameters that vary in a bounded surface of $\R^3$ . We study how to detect when such functions have coalescing eigenvalues inside this surface. Our criterion to locate these singularities is based on a construction suggested by Stone in [20]. For generic coalescings, any such singularity is related to a particular accumulation of a certain phase, or lack thereof, as we cover the surface. |
| Handle: | http://hdl.handle.net/11586/21419 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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