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M. A. Krasnosel'skii Theorem and Iterative Methods for Solving Ill-Posed Linear Problems with a Self-Adjoint Operator
-
Oleg Matysik
and
Petr Zabreiko
Published/Copyright:
June 6, 2015
Abstract
The paper deals with iterative methods for solving linear operator equations
Keywords: Ill-Posed Linear Problems; Method of Successive Approximations; Spectrum of Operator; Errors; Residuals and Corrections; Weakened Norms; Orthogonal Projection; Convergence and Convergence Rate of Approximations
Received: 2015-2-2
Revised: 2015-4-21
Accepted: 2015-5-20
Published Online: 2015-6-6
Published in Print: 2015-7-1
© 2015 by De Gruyter
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- Numerical Simulation of Surface Acoustic Wave Actuated Separation of Rigid Enantiomers by the Fictitious Domain Lagrange Multiplier Method
- An Optimal Adaptive Finite Element Method for an Obstacle Problem
- On ℓ1-Regularization in Light of Nashed's Ill-Posedness Concept
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- Some Recent Progress on Numerical Methods for Controlled Regime-Switching Models with Applications to Insurance and Risk Management
- Functional A Posteriori Error Estimates for Parabolic Time-Periodic Boundary Value Problems
- M. A. Krasnosel'skii Theorem and Iterative Methods for Solving Ill-Posed Linear Problems with a Self-Adjoint Operator
- Dual Weighted Residual Error Control for Frictional Contact Problems
Articles in the same Issue
- Frontmatter
- Numerical Simulation of Surface Acoustic Wave Actuated Separation of Rigid Enantiomers by the Fictitious Domain Lagrange Multiplier Method
- An Optimal Adaptive Finite Element Method for an Obstacle Problem
- On ℓ1-Regularization in Light of Nashed's Ill-Posedness Concept
- Shape Optimization by Pursuing Diffeomorphisms
- Analysis of a Stabilized CNLF Method with Fast Slow Wave Splittings for Flow Problems
- Some Recent Progress on Numerical Methods for Controlled Regime-Switching Models with Applications to Insurance and Risk Management
- Functional A Posteriori Error Estimates for Parabolic Time-Periodic Boundary Value Problems
- M. A. Krasnosel'skii Theorem and Iterative Methods for Solving Ill-Posed Linear Problems with a Self-Adjoint Operator
- Dual Weighted Residual Error Control for Frictional Contact Problems
