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.

Dettagli Bibliografici
Autori principali:	Cartis, C, Gould, NIM, Lange, M
Natura:	Journal article
Lingua:	English
Pubblicazione:	Springer Nature 2019

Documenti analoghi

Monotonicities of Quasi-Normed Orlicz Spaces
di: Dong Ji, et al.
Pubblicazione: (2024-10-01)

Krylov subspace estimation
di: Schneider, Michael K. (Michael Klaus)
Pubblicazione: (2005)

Shortcuts to Adiabaticity in Krylov Space
di: Kazutaka Takahashi, et al.
Pubblicazione: (2024-02-01)

On the stability of the quadratic mapping in normed spaces
di: Gwang Hui Kim
Pubblicazione: (2001-01-01)

Compact-calibres of regular and monotonically normal spaces
di: David W. Mcintyre
Pubblicazione: (2002-01-01)

Nearly Radical Quadratic Functional Equations in p-2-Normed Spaces
di: M. Eshaghi Gordji, et al.
Pubblicazione: (2012-01-01)

Fuzzy normed spaces and stability of a generalized quadratic functional equation
di: Choonkil Park, et al.
Pubblicazione: (2020-09-01)

KPZ scaling from the Krylov space
di: Alexander Gorsky, et al.
Pubblicazione: (2024-09-01)

The Krylov–Bogoliubov–Mitropolsky method for modeling a forced damped quadratic pendulum oscillator
di: Weaam Alhejaili, et al.
Pubblicazione: (2023-08-01)

Stability of Pexiderized Quadratic Functional Equation in Random 2-Normed Spaces
di: Mohammed A. Alghamdi
Pubblicazione: (2015-01-01)

Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm
di: Xinran Bai, et al.
Pubblicazione: (2020-01-01)

On the Stability of Cubic and Quadratic Mapping in Random Normed Spaces under Arbitrary T-Norms
di: J. Vahidi, et al.
Pubblicazione: (2014-01-01)

Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces
di: Ick-Soon Chang, et al.
Pubblicazione: (2014-01-01)

An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity
di: Cartis, C, et al.
Pubblicazione: (2012)

Random Krylov spaces over finite fields
di: Brent, R, et al.
Pubblicazione: (2003)

Universal chaotic dynamics from Krylov space
di: Johanna Erdmenger, et al.
Pubblicazione: (2023-08-01)

On the Evaluation Complexity of Composite Function Minimization with Applications to Nonconvex Nonlinear Programming.
di: Cartis, C, et al.
Pubblicazione: (2011)

Stability results of the functional equation deriving from quadratic function in random normed spaces
di: Nazek Alessa, et al.
Pubblicazione: (2021-01-01)

The Order Continuity of the Regular Norm on Regular Operator Spaces
di: Zi Li Chen, et al.
Pubblicazione: (2013-01-01)

On the accuracy of regularized solutions to quadratic minimization problems on a half space, in case of a normally solvable operator
di: Krnić I., et al.
Pubblicazione: (2004-01-01)

A note about the complexity of minimizing Nesterov's smooth Chebyshev-Rosenbrock function.
di: Cartis, C, et al.
Pubblicazione: (2013)

Operator Monotone Functions and Convexity of Its Derivatives Norms
di: Zahra Rahimi Chegeni, et al.
Pubblicazione: (2021-05-01)

On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
di: Cho YJ, et al.
Pubblicazione: (2008-01-01)

Smoothing Approximations for Least Squares Minimization with L1-Norm Regularization Functional
di: Henrietta Nkansah, et al.
Pubblicazione: (2021-02-01)

Complexity growth and the Krylov-Wigner function
di: Ritam Basu, et al.
Pubblicazione: (2024-05-01)

Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
di: Yanli Liu, et al.
Pubblicazione: (2024-04-01)

Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
di: Yanli Liu, et al.
Pubblicazione: (2023-05-01)

Universal regularization methods: varying the power, the smoothness and the accuracy
di: Cartis, C, et al.
Pubblicazione: (2019)

On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
Pubblicazione: (2009-02-01)

Hyers-Ulam stability of quadratic forms in 2-normed spaces
di: Park Won-Gil, et al.
Pubblicazione: (2019-12-01)

Entropy Monotonicity and Superstable Cycles for the Quadratic Family Revisited
di: José M. Amigó, et al.
Pubblicazione: (2020-10-01)

Remarks on the Conditional Quadratic and the Conditional D’Alembert Functional Equations on Particular Normed Spaces
di: Margherita Fochi, et al.
Pubblicazione: (2013-01-01)

Worst-case evaluation complexity and optimality of second-order methods for nonconvex smooth optimization
di: Cartis, C, et al.
Pubblicazione: (2018)

Operator complexity: a journey to the edge of Krylov space
di: E. Rabinovici, et al.
Pubblicazione: (2021-06-01)

Krylov complexity of many-body localization: Operator localization in Krylov basis
di: Fabian Ballar Trigueros, Cheng-Ju Lin
Pubblicazione: (2022-08-01)

Geometry of Krylov complexity
di: Pawel Caputa, et al.
Pubblicazione: (2022-01-01)

Convexity and quadratic monotone approximation in delay differential equations
di: Radu Precup
Pubblicazione: (2001-02-01)

Existence of monotonic $L_\varphi$-solutions for quadratic Volterra functional-integral equations
di: Mieczyslaw Cichon, et al.
Pubblicazione: (2015-03-01)

Regularization Inertial Proximal Point Algorithm for Monotone Hemicontinuous Mapping and Inverse Strongly Monotone Mappings in Hilbert Spaces
di: Buong Nguyen, et al.
Pubblicazione: (2010-01-01)