The dimension of orbits and bundles of Hermitian pencils under $*$-congruence\

Electronic Journal of Linear Algebra 2026 Open access

Read full text
Authors: Fernando De Terán, Di Zhang
DOI: 10.13001/ela.2026.10019
Cited by: 0

Abstract

We provide an explicit formula for the dimension of the $*$-congruence orbits and bundles of Hermitian matrix pencils over the field of complex numbers. The formula is given in terms of the sizes of the canonical blocks in the Hermitian Kronecker canonical form of the pencils. This extends the formulas provided only for the generic orbits and bundles in a previous work.

Fields of Study & Subjects

Matrix Theory and Algorithms Rings Modules and Algebras Holomorphic and Operator Theory

Publication details

Journal / source
Electronic Journal of Linear Algebra
Volume
42
Pages
84–104
Publication date
27 February 2026
Language
EN