English

A note on the factorization of some structured matrix functions

Functional Analysis 2018-03-29 v1

Abstract

Let G be a block matrix function with one diagonal block A being positive definite and the off diagonal blocks complex conjugates of each other. Conditions are obtained for G to be factorable (in particular, with zero partial indices) in terms of the Schur complement of A.

Keywords

Cite

@article{arxiv.1803.10521,
  title  = {A note on the factorization of some structured matrix functions},
  author = {Ilya M. Spitkovsky and Anatoly F. Voronin},
  journal= {arXiv preprint arXiv:1803.10521},
  year   = {2018}
}

Comments

7 pages

R2 v1 2026-06-23T01:07:32.457Z