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

We address the noncommutative version of the Edmonds' problem, which asks todetermine the inner rank of a matrix in noncommuting variables. We provide analgorithm for the calculation of this inner rank by relating the problem withthe distribution of a basic object in free probability theory, namelyoperator-valued semicircular elements. We have to solve a matrix-valuedquadratic equation, for which we provide precise analytical and numericalcontrol on the fixed point algorithm for solving the equation. Numericalexamples show the efficiency of the algorithm.

Computing the noncommutative inner rank by means of operator-valued free probability theory