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On the Courant–Fischer theory for Krein spaces

✍ Scribed by N. Bebiano; H. Nakazato; J. da Providência

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
158 KB
Volume
430
Category
Article
ISSN
0024-3795

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✦ Synopsis

Let J = I r ⊕ -I n-r , 0 < r < n. An n × n complex matrix A is said to be J-Hermitian if JA = A * J. An extension of the classical theory of Courant and Fischer on the Rayleigh ratio of Hermitian matrices is stated for J-Hermitian matrices. Applications to the theory of small oscilations of a mechanical system are presented.

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