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.

Opis bibliograficzny
Główni autorzy: Cartis, C, Gould, NIM, Lange, M
Format: Journal article
Język:English
Wydane: Springer Nature 2019
Opis
Streszczenie:We show that the minimizers of regularized quadratic functions restricted to their natural Krylov spaces increase in Euclidean norm as the spaces expand.