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.

Podrobná bibliografie
Hlavní autoři: Cartis, C, Gould, NIM, Lange, M
Médium: Journal article
Jazyk:English
Vydáno: Springer Nature 2019
Popis
Shrnutí:We show that the minimizers of regularized quadratic functions restricted to their natural Krylov spaces increase in Euclidean norm as the spaces expand.