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The MINPACK algorithm is described in the following article,

- J.J. Moré, The Levenberg-Marquardt Algorithm: Implementation and Theory, Lecture Notes in Mathematics, v630 (1978), ed G. Watson.

The `lmniel`

algorithm closely follows the following publications,

- 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.

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

- J. E. Dennis and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, SIAM, 1996.
- 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).