English

Spectral data and solvent theory for regular matrix polynomials

Spectral Theory 2013-12-24 v1

Abstract

This paper contains a re-evaluation of the spectral approach and factorizability for regular matrix polynomials. In addition, solvent theory is extended from the monic and comonic cases to the regular case. The classification of extended solvents (bisolvents) is shown to be equivalent to the classification of all the regular first order right factors for a general matrix polynomial.

Keywords

Cite

@article{arxiv.1312.6420,
  title  = {Spectral data and solvent theory for regular matrix polynomials},
  author = {Nir Cohen and Edgar Pereira},
  journal= {arXiv preprint arXiv:1312.6420},
  year   = {2013}
}
R2 v1 2026-06-22T02:33:42.871Z