Factorized quasi-Newton methods for nonlinear least squares problems

DOI10.1007/BF01586927zbMath0737.90064OpenAlexW2072949851MaRDI QIDQ1176806

Toshihiko Takahashi, Hiroshi Yabe

Publication date: 25 June 1992

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01586927

zbMATH Keywords

nonlinear least squares problems\(q\)- superlinear convergencestructured quasi-Newton methods

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Least squares and related methods for stochastic control systems (93E24) Computational methods for problems pertaining to operations research and mathematical programming (90-08)

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Cites Work

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• Solving the nonlinear least square problem: Application of a general method
• Some Recent Approaches to Solving Large Residual Nonlinear Least Squares Problems
• An Adaptive Nonlinear Least-Squares Algorithm
• Newton-type methods for unconstrained and linearly constrained optimization
• Specialised versus general-purpose algorithms for minimising functions that are sums of squared terms
• The estimation of the hessian matrix in nonlinear least squares problems with non-zero residuals
• On the Local and Superlinear Convergence of Quasi-Newton Methods
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods

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