The Characteristic Polynomial of Projections

2023/06/22 by Kate Howell, Rongwei Yang, Howell, Kate +1 · 1 citation
Computer Science · Mathematics · #20E08 and 20Cxx (Secondary) #47A13 (Primary) #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2306.12613

openalex publication_date 2023/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper proves that the characteristic polynomial is a complete unitary invariant for pairs of projection matrices. Some special cases involving three or more projections are also considered.

Cited by

• Spectral test of reducibility for Matrix tuples

Related

• The characteristic polynomial and determinant are not ad hoc constructions
• A Direct Polynomial Approach to Spectral Decomposition
• A characteristic polynomial of the Seidel matrix over \mathbbF₃
• Determining Projection Constants of Univariate Polynomial Spaces
• Proper asymptotic unitary equivalence in \KK-theory and projection lifting from the corona algebra