GNU Scientific Library – Reference Manual: Nonlinear Least-Squares References and Further Reading

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### 39.13 References and Further Reading

The following publications are relevant to the algorithms described in this section,

- J.J. Moré, The Levenberg-Marquardt Algorithm: Implementation and Theory, Lecture Notes in Mathematics, v630 (1978), ed G. Watson.
- H. B. Nielsen, “Damping Parameter in Marquardt’s Method”, IMM Department of Mathematical Modeling, DTU, Tech. Report IMM-REP-1999-05 (1999).
- K. Madsen and H. B. Nielsen, “Introduction to Optimization and Data Fitting”, IMM Department of Mathematical Modeling, DTU, 2010.
- J. E. Dennis and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, SIAM, 1996.
- M. K. Transtrum, B. B. Machta, and J. P. Sethna, Geometry of nonlinear least squares with applications to sloppy models and optimization, Phys. Rev. E 83, 036701, 2011.
- M. K. Transtrum and J. P. Sethna, Improvements to the Levenberg-Marquardt algorithm for nonlinear least-squares minimization, arXiv:1201.5885, 2012.
- J.J. Moré, B.S. Garbow, K.E. Hillstrom, “Testing Unconstrained Optimization Software”, ACM Transactions on Mathematical Software, Vol 7, No 1 (1981), p 17–41.
- H. B. Nielsen, “UCTP Test Problems for Unconstrained Optimization”, IMM Department of Mathematical Modeling, DTU, Tech. Report IMM-REP-2000-17 (2000).