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Hermitian quadratic eigenvalue problems of restricted rank

โœ Scribed by Carlos Conca; Heinrich Puschmann

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
372 KB
Volume
6
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

We consider a quadratic eigenvalue problem such that the second order term is a Hermitian matrix of rank r, the linear term is the identity matrix, and the constant term is an arbitrary Hermitian matrix A E cnn. Of the n + T solutions that this problem admits, we show at least n -r to be real and located in specific intervals defined by the eigenvalues of A, whence at most 2r are nonreal occuring in possibly repeated conjugate pairs.

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