Work performed under the auspices of the U.S. Energy Research and Development Administration
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bard, Y. [1970]. Comparison of gradient methods for the solution of nonlinear parameter estimation problem, SIAM J. Numer. Anal. 7, 157–186.
Brown, K. M. and Dennis, J. E. [1971]. New computational algorithms for minimizing a sum of squares of nonlinear functions, Department of Computer Science report 71-6, Yale University, New Haven, Connecticut.
Fletcher, R. [1971]. A modified Marquardt subroutine for nonlinear least squares, Atomic Energy Research Establishment report R6799, Harwell, England.
Fletcher, R. and Powell, M.J.D. [1963]. A rapidly convergent descent method for minimization, Comput. J. 6, 163–168.
Hebden, M. D. [1973]. An algorithm for minimization using exact second derivatives, Atomic Energy Research Establishment report TP515, Harwell, England.
Kowalik, J. and Osborne, M. R. [1968]. Methods for Unconstrained Optimization Problems, American Elsevier.
Levenberg, K. [1944]. A method for the solution of certain nonlinear problems in least squares, Quart. Appl. Math. 2, 164–168.
Marquardt, D. W. [1963]. An algorithm for least squares estimation of nonlinear parameters, SIAM J. Appl. Math. 11, 431–441.
Osborne, M. R. [1972]. Some aspects of nonlinear least squares calculations, in Numerical Methods for Nonlinear Optimization, F. A. Lootsma, ed., Academic Press.
Osborne, M. R. [1975]. Nonlinear least squares — the Levenberg algorithm revisited, to appear in Series B of the Journal of the Australian Mathematical Society.
Powell, M. J. D. [1975]. Convergence properties of a class of minimization algorithms, in Nonlinear Programming 2, O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, eds., Academic Press.
Editor information
Rights and permissions
Copyright information
© 1978 Springer-Verlag
About this paper
Cite this paper
Moré, J.J. (1978). The Levenberg-Marquardt algorithm: Implementation and theory. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067700
Download citation
DOI: https://doi.org/10.1007/BFb0067700
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08538-6
Online ISBN: 978-3-540-35972-2
eBook Packages: Springer Book Archive