Efficiently solving total least squares with Tikhonov identical regularization

DOI10.1007/s10589-018-0004-4zbMath1391.90498OpenAlexW2796404152WikidataQ130044366 ScholiaQ130044366MaRDI QIDQ1639723

Jiulin Wang, Jiming Peng, Yong Xia, Mei-Jia Yang

Publication date: 13 June 2018

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-018-0004-4

zbMATH Keywords

quadratic programmingNewton's methodfractional programmingTikhonov regularizationbisection methodS-lemmatrust-region subproblemtotal least square

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Quadratic programming (90C20) Fractional programming (90C32)

Related Items (5)

A fast algorithm for globally solving Tikhonov regularized total least squares problem ⋮ A survey of hidden convex optimization ⋮ Semidefinite relaxation for the total least squares problem with Tikhonov-like regularization ⋮ Efficient local search procedures for quadratic fractional programming problems ⋮ An efficient Gauss-Newton algorithm for solving regularized total least squares problems

Uses Software

• Regularization tools
• VanHuffel

Cites Work

• An Analysis of the Total Least Squares Problem
• S-lemma with equality and its applications
• Celis-Dennis-Tapia based approach to quadratic fractional programming problems with two quadratic constraints
• A convex optimization approach for minimizing the ratio of indefinite quadratic functions over an ellipsoid
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Large-scale Tikhonov regularization of total least squares
• Regularized total least squares based on quadratic eigenvalue problem solvers
• Tikhonov regularization for infeasible absolute value equations
• Finding a Global Optimal Solution for a Quadratically Constrained Fractional Quadratic Problem with Applications to the Regularized Total Least Squares
• Fractional Programming. II, On Dinkelbach's Algorithm
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• Efficient Algorithms for Solution of Regularized Total Least Squares
• Programming with linear fractional functionals
• On the Solution of the Tikhonov Regularization of the Total Least Squares Problem
• On Some Properties of Programming Problems in Parametric form Pertaining to Fractional Programming
• On Nonlinear Fractional Programming
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