HERMITIAN MATRICES DEPENDING ON THREE PARAMETERS: COALESCING EIGENVALUES

@inproceedings{Dieci2012HERMITIANMD,
  title={HERMITIAN MATRICES DEPENDING ON THREE PARAMETERS: COALESCING EIGENVALUES},
  author={Luca Dieci and Alessandro Pugliese},
  year={2012}
}
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 [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. 

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