Level set of the asymptotic rate of convergence for the method of steepest descent

DOI10.1007/s11253-022-02058-6OpenAlexW4302763992MaRDI QIDQ2084237

P. F. Zhuk

Publication date: 18 October 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02058-6

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

Cites Work

• Gradient algorithms for quadratic optimization with fast convergence rates
• The chaotic nature of faster gradient descent methods
• On a successive transformation of probability distribution and its application to the analysis of the optimum gradient method
• The asymptotic behaviour of the \(s\)-step method of steepest descent for minimizing a quadratic functional in Hilbert space
• Asymptotic rate of convergence of a two-layer iterative method of the variational type
• On the asymptotic directions of the s-dimensional optimum gradient method
• On spectral properties of steepest descent methods
• A Dynamical-System Analysis of the Optimum s-Gradient Algorithm
• On the asymptotic properties of the method of steepest descent in eigenvalue problems
• Asymptotic rate of convergence of the method of steepest descent in eigenvalue problems
• Two-Point Step Size Gradient Methods
• Some problems connected with the method of minimal residuals
• Asymptotic properties of the s-step optimal gradient method
• ASYMPTOTIC BEHAVIOR OF THE $ s$-STEP METHOD OF STEEPEST DESCENT FOR EIGENVALUE PROBLEMS IN HILBERT SPACE
• Gradient methods exploiting spectral properties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Level set of the asymptotic rate of convergence for the method of steepest descent