Abstract (EN):
The interlacing theorem of Cauchy-Poincare states that the eigenvalues of a principal submatrix A(0) of a Hermitian matrix A interlace the eigenvalues of A. Fan and Pall obtained an analog of this theorem for normal matrices. In this note we investigate analogs of Cauchy-Poincare and Fan-Pall interlacing theorems for J-Hermitian and J-normal matrices. The corresponding inverse spectral problems are also considered.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
11