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

A new iterative method for solving large scale symmetric nonlinear eigenvalueproblems is presented. We firstly derive an infinite dimensional symmetriclinearization of the nonlinear eigenvalue problem, then we apply the indefiniteLanczos method to this specific linearization, resulting in a short-termrecurrence. We show how, under specific assumption on the starting vector, thismethod can be carried out in finite arithmetic and how the exploitation of theproblem structure leads to improvements in terms of computation time. Theeigenpair approximations are extracted with the nonlinear Rayleigh-Ritzprocedure combined with a specific choice of the projection space. Weillustrate how this extraction technique resolves the instability issues thatmay occur due to the loss of orthogonality in many standard Lanczos-typemethods.

The infinite Lanczos method for symmetric nonlinear eigenvalue problems