Total least-squares regularization of Tykhonov type and an ancient racetrack in Corinth

DOI10.1016/j.laa.2009.09.014zbMath1187.65038OpenAlexW2046962258MaRDI QIDQ848588

Burkhard Schaffrin, Kyle Snow

Publication date: 4 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.09.014

zbMATH Keywords

performancealgorithmnumerical exampleregularizationTikhonov regularizationill-posed problemsiterative methods for linear systemspseudoinversesoverdetermined systemscircle fittingGauss-Helmert modelerrors-in-variables (EIV) modelmethods of successive approximations based on necessary conditionsmultivariate analysis-estimationroot mean squared errorstotal least-squares

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10) Complexity and performance of numerical algorithms (65Y20)

Related Items (2)

Weighted total least-squares joint adjustment with weight correction factors ⋮ Monte Carlo maximum likelihood circle fitting using circular density functions

Uses Software

• VanHuffel

Cites Work

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• An Analysis of the Total Least Squares Problem
• On a quadratic eigenproblem occurring in regularized total least squares
• Circle fitting by linear and nonlinear least squares
• Consistent least squares fitting of ellipsoids
• On the multivariate total least-squares approach to empirical coordinate transformations. Three algorithms
• Regularized total least squares based on quadratic eigenvalue problem solvers
• Choosing Regularization Parameters in Iterative Methods for Ill-Posed Problems
• Finding a Global Optimal Solution for a Quadratically Constrained Fractional Quadratic Problem with Applications to the Regularized Total Least Squares
• Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
• Classroom Note:Finding the Center of a Circular Starting Line in an Ancient Greek Stadium
• Blind Deconvolution Using a Regularized Structured Total Least Norm Algorithm
• Efficient Algorithms for Solution of Regularized Total Least Squares
• Tikhonov Regularization and Total Least Squares
• An optimal joint estimator for regression parameters and the dispersion parameter in errors-in-variables nonlinear models
• A Projection‐Based Approach to General‐Form Tikhonov Regularization
• On the Solution of the Tikhonov Regularization of the Total Least Squares Problem
• Least-squares fitting of circles and ellipses

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