Some methods of speeding up the convergence of iteration methods

Keywords

Mathematics, Convergence (economics), Banach space, Ordinary differential equation, Simple (philosophy)

References

• On the Golf Method修二 猪股 — 1961
• Convergence rates of iterative treatments of partial differential equationsStanley P. Frankel — 1950
• Stability theory of differential equationsJ. J. L. Hinrichsen, Richard Bellman — 1953
• Об одном нестационарном итерационном методе приближенного решения линейных операторных уравненийА. Ю. Лучка, Н. С. Курнель — 1964
• Convergence Rates of Iterative Treatments of Partial Differential EquationsStanley P. Frankel — 1950

Cited by

• Fast, distributed optimization strategies for resource allocation in networksMichael Zargham — 2014
• On the importance of initialization and momentum in deep learningIlya Sutskever, James Martens, George E. Dahl — 2013
• Inertial primal-dual algorithms for structured convex optimizationRaymond H. Chan, Shiqian Ma, Junfeng Yang — 2014
• Solving the Infinite-Horizon Constrained LQR Problem Using Accelerated Dual Proximal MethodsGiorgos Stathopoulos, Milan Korda, Colin N. Jones — 2015
• Accelerating Convergence of Large-scale Optimization AlgorithmsEuhanna Ghadimi — 2015
• Differentiable Optimization and Equation Solving: A Treatise on Algorithmic Science and the Karmarkar RevolutionJ. L. Nazareth — 2011
• Classification algorithms on the cell processorMateusz Wyganowski — 2008
• Signal-Recovery Methods for Compressive Sensing Using Nonconvex Sparsity-Promoting FunctionsCésar Teixeira — 2014
• Accelerated optimization algorithms for statistical 3D x-ray computed tomography image reconstructionDonghwan Kim — 2014
• An Inertial Forward-Backward Algorithm for Monotone InclusionsDirk A. Lorenz, Thomas Pock — 2014
• Applying Neural Networks in Case-Based Reasoning Adaptation for Cost Assessment of Steel BuildingsE.A. Lotfy, A. Seif EI-Yazal Mohamed — 2002
• Stochastic approximation, Momentum, and Nash playHelge Berglann, Sjur Didrik Flåm — 2002
• Optimized first-order methods for smooth convex minimizationDonghwan Kim, Jeffrey A. Fessler — 2014
• Hands Deep in Deep Learning for Hand Pose EstimationMarkus Oberweger, Paul Wohlhart, Vincent Lepetit — 2015
• A General Inertial Proximal Point Algorithm for Mixed Variational Inequality ProblemCaihua Chen, Shiqian Ma, Junfeng Yang — 2015
• Text Understanding from ScratchXiang Zhang, Yann LeCun — 2015
• Parallel training of Deep Neural Networks with Natural Gradient and Parameter AveragingDaniel Povey, Xiaohui Zhang, Sanjeev Khudanpur — 2014
• Microscopic Advances with Large-Scale Learning: Stochastic Optimization for Cryo-EMAli Punjani, Marcus A. Brubaker — 2015
• A Primer on Neural Network Models for Natural Language ProcessingYoav Goldberg — 2015
• Building proteins in a day: Efficient 3D molecular reconstructionMarcus A. Brubaker, Ali Punjani, David J. Fleet — 2015

Related papers

• New iteration scheme for numerical reckoning fixed points of nonexpansive mappingsDipti Thakur, Balwant Singh Thakur, Mihai Postolache — 2014
• Viscosity approximation for fixed points of nonexpansive nonself-mappings in Banach spacesZeng Lu-chuan — 2008
• Generalized iteration methods for bounds of the solution of fixed point operator-equationsE. Kaucher, Siegfried M. Rump — 1980
• Simpler is also better in approximating fixed pointsMujahid Abbas, Safeer Hussain Khan, Β. E. Rhoades — 2008
• On the Computation of Nonhyperbolic Fixed PointsMário M. Graça — 2002
• Iterative Approximations of Fixed Points for Non-Lipschitzian Asymptotically Pseudocontractive MappingsMing Xiong — 2012
• Strongly Convergence of Two Iterations For a Common Fixed Point with an ApplicationZahra Mahmood Mohamed Hasan, Salwa Salman Abed — 2019
• REPULSIVE FIXED-POINTS OF THE LAGUERRE-LIKE ITERATION FUNCTIONSYoonMee Ham, Sang‐Gu Lee — 2008