A theory for optimal regularization in the finite dimensional case

DOI10.1016/0024-3795(82)90121-5zbMath0496.65021OpenAlexW2050113612MaRDI QIDQ1170010

John W. Hilgers

Publication date: 1982

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90121-5

zbMATH Keywords

ill-posed problemMoore-Penrose generalized inverseleast squares solution of minimal normoptimal regularizationminimum square errorrandom noise vector

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)

Related Items (1)

Finite-dimensional regularization with nonidentity smoothing matrices

Cites Work

• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
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