Solving ill-conditioned linear algebraic systems by the dynamical systems method

DOI10.1080/17415970701743335zbMath1258.65036arXiv0705.4074OpenAlexW2139260934MaRDI QIDQ4908336

Nguyen Si Hoang, Alexander G. Ramm

Publication date: 5 March 2013

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.4074

zbMATH Keywords

ill-posed problemsdynamical systems method (DSM)ill-conditioned linear algebraic systems

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10)

Related Items (10)

Dynamical systems method of gradient type for solving nonlinear equations with monotone operators ⋮ A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems ⋮ A novel fractional Tikhonov regularization coupled with an improved super-memory gradient method and application to dynamic force identification problems ⋮ An efficient dynamical systems method for solving singularly perturbed integral equations with noise ⋮ DSM for general nonlinear equations ⋮ Dynamical systems gradient method for solving ill-conditioned linear algebraic systems ⋮ A globally optimal tri-vector method to solve an ill-posed linear system ⋮ An iterative scheme for solving nonlinear equations with monotone operators ⋮ Dynamical systems gradient method for solving nonlinear equations with monotone operators ⋮ An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems

Uses Software

• Unnamed Item

Cites Work

• Ill-posed problems with unbounded operators
• Iterative solution of linear equations with unbounded operators
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Tricks or Treats with the Hilbert Matrix

This page was built for publication: Solving ill-conditioned linear algebraic systems by the dynamical systems method