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

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.

Bibliografische gegevens
Hoofdauteurs:	Cartis, C, Gould, NIM, Lange, M
Formaat:	Journal article
Taal:	English
Gepubliceerd in:	Springer Nature 2019

Gelijkaardige items

Monotonicities of Quasi-Normed Orlicz Spaces
door: Dong Ji, et al.
Gepubliceerd in: (2024-10-01)

Krylov subspace estimation
door: Schneider, Michael K. (Michael Klaus)
Gepubliceerd in: (2005)

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

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

Compact-calibres of regular and monotonically normal spaces
door: David W. Mcintyre
Gepubliceerd in: (2002-01-01)

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

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

KPZ scaling from the Krylov space
door: Alexander Gorsky, et al.
Gepubliceerd in: (2024-09-01)

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

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

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

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

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

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

Random Krylov spaces over finite fields
door: Brent, R, et al.
Gepubliceerd in: (2003)

Universal chaotic dynamics from Krylov space
door: Johanna Erdmenger, et al.
Gepubliceerd in: (2023-08-01)

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

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

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

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

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

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

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

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

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

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

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

Universal regularization methods: varying the power, the smoothness and the accuracy
door: Cartis, C, et al.
Gepubliceerd in: (2019)

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

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

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

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

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

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

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

Geometry of Krylov complexity
door: Pawel Caputa, et al.
Gepubliceerd in: (2022-01-01)

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

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

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

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