Three-parameter regularization algorithm for pseudo-solution of non-compatible systems

DOI10.1134/S1995080224010487MaRDI QIDQ6544418

Viktoriya Petrakova, Vladimir Viktorovich Shaydurov

Publication date: 27 May 2024

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

zbMATH Keywords

regularization methodlinear algebraic equationsnormal pseudo-solutionill-conditioned and degenerate systemslinear combinations of regularized solutions

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical analysis in abstract spaces (65Jxx)

Cites Work

• Regularization when there is considerable interference
• The deferred approach to the limit. I. Single lattice.
• Solving Systems of Linear Equations With a Positive Definite, Symmetric, but Possibly Ill-Conditioned Matrix
• Definitions and examples of inverse and ill-posed problems
• Two algorithms for refinement of approximate solutions in the regularization method
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