| Title:
|
Inexact trust region method for large sparse nonlinear least squares (English) |
| Author:
|
Lukšan, Ladislav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
29 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
305-324 |
| . |
| Category:
|
math |
| . |
| MSC:
|
65K05 |
| MSC:
|
90C20 |
| MSC:
|
90C25 |
| idZBL:
|
Zbl 0806.65060 |
| idMR:
|
MR1247880 |
| . |
| Date available:
|
2009-09-24T18:41:01Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125630 |
| . |
| Reference:
|
[1] G. Golub, W. Kahan: Calculating the singular values and pseudo-inverse of a matrix.SIAM J. Numer. Anal. 2 (1965), 205-224. Zbl 0194.18201, MR 0183105 |
| Reference:
|
[2] J. J. More B. S. Garbow, K. E. Hillstrom: Testing unconstrained optimization software.ACM Trans. Math. Software 7 (1981), 17-41. MR 0607350 |
| Reference:
|
[3] J. E. Dennis, H. H. W. Mei: An Unconstrained Optimization Algorithm which Uses Function and Gradient Vlues.Report No. TR-75-246. Dept. of Computer Sci., Cornell University 1975. |
| Reference:
|
[4] C. C. Paige: Bidiagonalization of matrices and solution of linear equations.SIAM J. Numer. Anal. 11 (1974), 197-209. Zbl 0244.65023, MR 0341842 |
| Reference:
|
[5] C. C. Paige, M. A. Saunders: LSQR: An algorithm for sparse linear equations and sparse least squares.ACM Trans. Math. Software 8 (1982), 43-71. Zbl 0478.65016, MR 0661121 |
| Reference:
|
[6] M. J. D. Powell: Convergence properties of a class of minimization algoritms.In: Non-linear Programming 2 (O. L. Mangasarian, R. R. Meyer and S. M. Robinson, eds.), Academic Press, London 1975. MR 0386270 |
| Reference:
|
[7] G. A. Shultz R. B. Schnabel, R. H. Byrd: A family of trust-region-based algorithms for unconstrained minimization with strong global convergence properties.SIAM J. Numer. Anal. 22 (1985), 47-67. MR 0772882 |
| Reference:
|
[8] T. Steihaug: The conjugate gradient method and trust regions in large-scale optimization.SIAM J. Numer. Anal. 20 (1983), 626-637. Zbl 0518.65042, MR 0701102 |
| . |
