Local results for the Gauss-Newton method on constrained rank-deficient nonlinear least squares

DOI10.1090/S0025-5718-03-01611-9zbMath1050.65059OpenAlexW1972721213MaRDI QIDQ4813613

Jerry Eriksson, Mårten Gulliksson

Publication date: 13 August 2004

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01611-9

zbMATH Keywords

numerical examplesGauss-Newton methodnonlinear least squaresTikhnov regularization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Quadratic programming (90C20)

Related Items (7)

Sensor network localization, Euclidean distance matrix completions, and graph realization ⋮ Solving rank-deficient separable nonlinear equations ⋮ Inverse functions of polynomials and its applications to initialize the search of solutions of polynomials and polynomial systems ⋮ Regularization methods for uniformly rank-deficient nonlinear least-squares problems ⋮ KKT conditions for rank-deficient nonlinear least-square problems with rank-deficient nonlinear constraints ⋮ A new algorithm for solving all the real roots of a nonlinear system of equations in a given feasible region ⋮ An algorithm to initialize the search of solutions of polynomial systems

Uses Software

• UTV
• ELSUNC_f90
• VanHuffel

Cites Work

• KKT conditions for rank-deficient nonlinear least-square problems with rank-deficient nonlinear constraints
• A weighted pseudoinverse, generalized singular values, and constrained least squares problems
• Algorithms for Constrained and Weighted Nonlinear Least Squares
• A new linesearch algorithm for nonlinear least squares problems
• Algorithms for the regularization of ill-conditioned least squares problems
• Regularization tools for training large feed-forward neural networks using automatic differentiation^∗
• Rank-Deficient and Discrete Ill-Posed Problems
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
• Perturbation theory for pseudo-inverses
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