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.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Cartis, C, Gould, NIM, Lange, M
Μορφή: Journal article
Γλώσσα:English
Έκδοση: Springer Nature 2019
Περιγραφή
Περίληψη:We show that the minimizers of regularized quadratic functions restricted to their natural Krylov spaces increase in Euclidean norm as the spaces expand.