English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

When a projection of a symmetric or Hermitian matrix to the positivesemidefinite cone is computed approximately (or to working precision on acomputer), a natural question is to quantify its accuracy. A straightforwardbound invoking standard eigenvalue perturbation theory (e.g. Davis-Kahan andWeyl bounds) suggests that the accuracy would be inversely proportional to thespectral gap, implying it can be poor in the presence of small eigenvalues.This work shows that a small gap is not a concern for projection onto thesemidefinite cone, by deriving error bounds that are gap-independent.

Accuracy of approximate projection to the semidefinite cone