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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this article, we revisit some block matrix construction methods and usethem to derive various general expansion formulas for calculating the ranks ofmatrix expressions. As applications, we derive a variety of interesting rankequalities for matrix expressions composed by idempotent matrices, and presenttheir applications in the characterization of some matrix equalities forgeneralized inverses of partitioned matrices.

Twists of two or multiple idempotent matrices