Choice of regularization parameter based on the regularized solution reconstruction in adaptive signal correction problem

DOI10.1134/S0965542521010061zbMath1467.45005OpenAlexW3134728064MaRDI QIDQ2656392

M. L. Maslakov

Publication date: 11 March 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521010061

zbMATH Keywords

regularizationill-posed problemregularization parameterintegral equation of convolution type

Mathematics Subject Classification ID

Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Uses Software

• cosereg

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularization theory for ill-posed problems. Selected topics
• Comparing parameter choice methods for regularization of ill-posed problems
• Application of two-parameter stabilizing functions in solving a convolution-type integral equation by regularization method
• Choice of regularization parameter in adaptive filtering problems
• A family of rules for parameter choice in Tikhonov regularization of ill-posed problems with inexact noise level
• Regularization parameter determination for discrete ill-posed problems
• Rank-Deficient and Discrete Ill-Posed Problems
• A generalized discrepancy principle