Accelerated Gauss-Newton algorithms for nonlinear least squares problems

DOI10.1007/BF01930989zbMath0435.65062MaRDI QIDQ3875243

Axel Ruhe

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

rate of convergencesteepest descentGauss-Newton algorithmnumerical test examplesconjugate gradient accelerationnonlinear least squares parameter estimation problems

Mathematics Subject Classification ID

Point estimation (62F10) Numerical mathematical programming methods (65K05)

Related Items

Nonlinear residual minimization by iteratively reweighted least squares, Methods and algorithms of solving spectral problems for polynomial and rational matrices, An efficient implementation of the Gauss-Newton method via generalized Krylov subspaces, The minimal-norm Gauss-Newton method and some of its regularized variants, Accelerated Gauss-Newton algorithms for nonlinear least squares problems, Convergence analysis of the general Gauss-Newton algorithm, Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian

Cites Work

• On the relation between quadratic termination and convergence properties of minimization algorithms. Part II. Applications
• On the asymptotic directions of the s-dimensional optimum gradient method
• Accelerated Gauss-Newton algorithms for nonlinear least squares problems
• A comparison of some algorithms for the nonlinear least squares problem
• Perturbation theory for pseudo-inverses
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