English

Cayley transform and the Kronecker product of Hermitian matrices

Functional Analysis 2018-12-10 v2

Abstract

We consider the conditions under which the Cayley transform of the Kronecker product of two Hermitian matrices can be again presented as a Kronecker product of two matrices and, if so, if it is a product of the Cayley transforms of the two Hermitian matrices. We also study the related question: given two matrices, which matrix under the Cayley transform yields the Kronecker product of their Cayley transforms.

Keywords

Cite

@article{arxiv.1305.1015,
  title  = {Cayley transform and the Kronecker product of Hermitian matrices},
  author = {Yorick Hardy and Ajda Fošner and Willi-Hans Steeb},
  journal= {arXiv preprint arXiv:1305.1015},
  year   = {2018}
}