On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces

We show that the minimizers of regularized quadratic functions restricted to their natural Krylov spaces increase in Euclidean norm as the spaces expand.

Bibliografske podrobnosti
Main Authors: Cartis, C, Gould, NIM, Lange, M
Format: Journal article
Jezik:English
Izdano: Springer Nature 2019
Opis
Izvleček:We show that the minimizers of regularized quadratic functions restricted to their natural Krylov spaces increase in Euclidean norm as the spaces expand.