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Can I read A note on the Levenberg–Marquardt parameter on EtoBox?
A note on the Levenberg–Marquardt parameter by Jinyan Fan; Jianyu Pan is a Mathematics article available to read on EtoBox.
What is A note on the Levenberg–Marquardt parameter about?
In [C. Ma, L. Jiang, Some research on Levenberg-Marquardt method for the nonlinear equations, Appl. Math. Comput. 184 (2007) 1032-1040], the LM parameter at the kth iteration is chosen as where F is the residual function, J is the Jacobi of F, and h 2 1⁄20; 1 is a constant. In this note, we point out that the LM parameter can be any combination of kF k k 2 and kJ T k F k k 2 provided it is positive. Furthermore, we give a more general choice of the LM parameter, and show that the LM method still preserves the quadratic convergence under the local error condition which is weaker than nonsingularity.
Who reads A note on the Levenberg–Marquardt parameter?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jinyan Fan; Jianyu Pan
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)