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 consider a minimization scheme based on the Householder transport operatorfor the Grassman manifold, where a point on the manifold is represented by a mx n matrix with orthonormal columns. In particular, we consider the case wherem >> n and present a method with asymptotic complexity mn^2. To avoid explicitparametrization of the manifold we use Householder transforms to move on themanifold, and present a formulation for simultaneous Householder reflectionsfor S-orthonormal columns. We compare a quasi-Newton and nonlinear conjugategradient implementation adapted to the manifold with a projected nonlinearconjugate gradient method, and demonstrate that the convergence rate issignificantly improved if the manifold is taken into account when designing theoptimization procedure.

Direct minimization of electronic structure calculations with Householder reflections