Involutions and angles between subspaces
Jean-Christophe Bourin, Eun-Young Lee
TL;DR
This paper presents a comprehensive structure theorem for involutory matrices, offering a novel approach to understanding principal angles between subspaces and deriving useful formulas for these angles.
Contribution
It introduces a complete structure theorem for involutory matrices and develops new formulas for principal angles between subspaces.
Findings
Complete structure theorem for involutory matrices
New formulas for principal angles between subspaces
Enhanced understanding of angles in subspace analysis
Abstract
We provide a complete structure theorem for involutory matrices. This yields a new approach to principal angles between subspaces and provide a series of nice formulae for these angles.
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Taxonomy
TopicsHolomorphic and Operator Theory · Matrix Theory and Algorithms · Advanced Topics in Algebra