pith. machine review for the scientific record. sign in

arxiv: 1305.2135 · v2 · submitted 2013-05-07 · 💻 cs.NA

Recognition: unknown

Almost-commuting matrices are almost jointly diagonalizable

Klaus Glashoff , Michael M. Bronstein
Authors on Pith no claims yet
classification 💻 cs.NA
keywords almostmatricesdiagonalizablejointlyself-adjointalmost-commutingapproximatecommutator
0
0 comments X
read the original abstract

We study the relation between approximate joint diagonalization of self-adjoint matrices and the norm of their commutator, and show that almost commuting self-adjoint matrices are almost jointly diagonalizable by a unitary matrix.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. RAwR: Role-Aware Rewiring via Approximate Equitable Partition

    cs.LG 2026-05 unverdicted novelty 7.0

    RAwR augments graphs with role-aware quotient graphs from approximate equitable partitions to accelerate long-range communication in GNNs, achieving SOTA results on homophilic, heterophilic, and long-range benchmarks ...