Inexact trust region method for large sparse nonlinear least squares

Ladislav Lukšan

Kybernetika (1993)

  • Volume: 29, Issue: 4, page 305-324
  • ISSN: 0023-5954

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Lukšan, Ladislav. "Inexact trust region method for large sparse nonlinear least squares." Kybernetika 29.4 (1993): 305-324. <http://eudml.org/doc/28784>.

@article{Lukšan1993,
author = {Lukšan, Ladislav},
journal = {Kybernetika},
keywords = {inexact trust region method; large sparse nonlinear least squares; bidiagonalized linear least squares algorithm; direction determination},
language = {eng},
number = {4},
pages = {305-324},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Inexact trust region method for large sparse nonlinear least squares},
url = {http://eudml.org/doc/28784},
volume = {29},
year = {1993},
}

TY - JOUR
AU - Lukšan, Ladislav
TI - Inexact trust region method for large sparse nonlinear least squares
JO - Kybernetika
PY - 1993
PB - Institute of Information Theory and Automation AS CR
VL - 29
IS - 4
SP - 305
EP - 324
LA - eng
KW - inexact trust region method; large sparse nonlinear least squares; bidiagonalized linear least squares algorithm; direction determination
UR - http://eudml.org/doc/28784
ER -

References

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  1. G. Golub, W. Kahan, Calculating the singular values and pseudo-inverse of a matrix, SIAM J. Numer. Anal. 2 (1965), 205-224. (1965) Zbl0194.18201MR0183105
  2. J. J. More B. S. Garbow, K. E. Hillstrom, Testing unconstrained optimization software, ACM Trans. Math. Software 7 (1981), 17-41. (1981) MR0607350
  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. (1975) 
  4. C. C. Paige, Bidiagonalization of matrices and solution of linear equations, SIAM J. Numer. Anal. 11 (1974), 197-209. (1974) Zbl0244.65023MR0341842
  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. (1982) Zbl0478.65016MR0661121
  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. (1975) MR0386270
  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. (1985) MR0772882
  8. T. Steihaug, The conjugate gradient method and trust regions in large-scale optimization, SIAM J. Numer. Anal. 20 (1983), 626-637. (1983) Zbl0518.65042MR0701102

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