Two algorithms for refinement of approximate solutions in the regularization method

DOI10.1134/s1995080223010353zbMath1515.15006OpenAlexW4377003488MaRDI QIDQ6040376

Sergey I. Kabanikhin, Viktoriya Petrakova, Vladimir Viktorovich Shaydurov

Publication date: 25 May 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223010353

zbMATH Keywords

regularization methodlinear algebraic equationsdegenerate systemsill-conditioned systemsnormal pseudo-solutionlinear combinations of regularized solutions

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Cites Work

• Solving Systems of Linear Equations With a Positive Definite, Symmetric, but Possibly Ill-Conditioned Matrix
• Definitions and examples of inverse and ill-posed problems
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• Regularization of singular systems of linear algebraic equations by shifts
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item