English

On the correspondence between spectra of the operator pencil $A-\lambda B$ and of the operator $B^{-1}A$

Spectral Theory 2015-10-05 v2

Abstract

This paper is concerned with the reduction of the spectral problem for symmetric linear operator pencils to a spectral problem for the single operator. Also, a Rayleigh-Ritz-like bounds on eigenvalues of linear operator pencils are obtained.

Keywords

Cite

@article{arxiv.1506.05155,
  title  = {On the correspondence between spectra of the operator pencil $A-\lambda B$ and of the operator $B^{-1}A$},
  author = {Ivica Nakić},
  journal= {arXiv preprint arXiv:1506.05155},
  year   = {2015}
}

Comments

23 pages, to appear in Glasnik matemati\v{c}ki