Comparative studies on the criteria for regularization parameter selection based on moving force identification

DOI10.1080/17415977.2020.1781848zbMath1470.65115OpenAlexW3036682574MaRDI QIDQ5153249

Zhihao Wang, Zhen Chen, Tommy H. T. Chan, Zhen Wang

Publication date: 29 September 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://eprints.qut.edu.au/203137/1/65171758.pdf

zbMATH Keywords

generalized cross-validationtruncated generalized singular value decompositionmoving force identificationrelative percentage error criteriontruncating point

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical optimization and variational techniques (65K10) Numerical solution to inverse problems in abstract spaces (65J22)

Cites Work

• A truncated projected SVD method for linear discrete ill-posed problems
• Regularization, GSVD and truncated GSVD
• A modified Tikhonov regularization method for a backward heat equation
• A new improved regularization method for dynamic load identification
• Pitfalls in the Numerical Solution of Linear Ill-Posed Problems
• The quasi-optimality criterion for classical inverse problems
• Morozov's discrepancy principle and Tikhonov-type functionals
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• Distributed dynamic load identification based on shape function method and polynomial selection technique
• Non-convergence of the L-curve regularization parameter selection method
• A Novel Method for Load Bounds Identification for Uncertain Structures in Frequency Domain

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