Algorithm 611: Subroutines for Unconstrained Minimization Using a Model/Trust-Region Approach

Published:01 December 1983Publication History
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  1. 1 BELSLEY, D.A. On the efficient computation of the nonlinear full-information maximum-likelihood estimator. J. Econometrics 14 (1980), 203-225.Google ScholarGoogle Scholar
  2. 2 DENNIS, J.E., GAY, D.M., AND WELSCH, R.E. An adaptive nonlinear least-squares algorithm. ACM Trans. Math. Softw. 7, 3 (Sept. 1981), 348-368. Google ScholarGoogle Scholar
  3. 3 DSNNIS, J.E., AND MEI, H.H.W. Two new unconstrained optimization algorithms which use function and gradient values. J. Optim. Theory Appl. 28 (1979), 453-482.Google ScholarGoogle Scholar
  4. 4 DENNIS, J.E., AND MOR~, J.J. A characterization of superlinear convergence and its application to quasi-Newton methods. Math. Comput. 28 (1974), 549-560.Google ScholarGoogle Scholar
  5. 5 DENNIS, J.E., AND MOR~, J.J. Quasi-Newton methods, motivation and theory. SIAM Rev. 19 (1977), 46-89.Google ScholarGoogle Scholar
  6. 6 GAY, D.M. Some tips for writing portable software. Tech. Rep. TR-14, Center for Computer Research in Economics and Management Science, Mass. Inst. Technol., Cambridge, 1980.Google ScholarGoogle Scholar
  7. 7 GAY, D.M. Computing optimal locally constrained steps. SIAM J. Sci. Statist. Comput. 2 (1981), 186-197.Google ScholarGoogle Scholar
  8. 8 GAY, D.M. On convergence testing in model/trust-region algorithms for unconstrained optimization. Computing Science Tech. Rep. 104, Bell Laboratories, Murray Hill, N.J., 1982.Google ScholarGoogle Scholar
  9. 9 GILL, P.E., MURRAY, W., PICKEN, S.M., AND WRIGHT, M.H. The design and structure of a Fortran program library for optimization. ACM Trans. Math. Softw. 5, 3 (Sept. 1979), 259-283. Google ScholarGoogle Scholar
  10. 10 GOLDFARB, D. Factorized variable metric methods for unconstrained optimization. Math. Cornput. 30 (1976), 796-811.Google ScholarGoogle Scholar
  11. 11 GOLUB, G.H., AND PEREYRA, V. The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. SIAM J. Numer. Anal. 10 (1973), 413-432.Google ScholarGoogle Scholar
  12. 12 KROGH, F.T. VODQ/SVDQ/DVDQ--Variable order integrators for the numerical solution of ordinary differential equations. Subroutine Write-Up, Sec. 314, Jet Propulsion Lab., Pasadena, Calif., 1969.Google ScholarGoogle Scholar
  13. 13 MoR~, J.J., GARBOW, B.S., AND HILLSTROM, K.E. Testing unconstrained optimization software. ACM Trans. Math. Softw. 7, 1 (March 1981), 17-41. Google ScholarGoogle Scholar
  14. 14 MoR~, J.J., AND SORENSEN, D.C. Computing a trust region step. Tech. Rep. ANL-81-83, Applied Mathematics Division, Argonne National Lab, Argonne, Ill., 1981.Google ScholarGoogle Scholar
  15. 15 POWELL, M.J.D. A new algorithm for unconstrained optimization. In Nonlinear Programming, J.B. Rosen, O.L. Mangasarian, and K. Ritter (Eds.), Academic Press, New York, 1970.Google ScholarGoogle Scholar
  16. 16 POWELL, M.J.D. A FORTRAN subroutine for unconstrained minimization, requiring first derivatives of the objective function. Rep. AERE-R.6469, A.E.R.E. Harwell, Oxon., England, 1970.Google ScholarGoogle Scholar
  17. 17 SHANNO, D.F., AND PHUA, K.H. Remark on algorithm 500. Minimization of unconstrained multivariate functions. ACM Trans. Math. Softw. 6, 4 (Dec. 1980), 618-622. Google ScholarGoogle Scholar
  18. 18 STEWART, G.W. A modification of Davidon's minimization method to accept difference approximations of derivatives. J. Assoc. Comput. Mach. 14 (1967), 72-83. Google ScholarGoogle Scholar

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      cover image ACM Transactions on Mathematical Software
      ACM Transactions on Mathematical Software  Volume 9, Issue 4
      Dec. 1983
      135 pages
      ISSN:0098-3500
      EISSN:1557-7295
      DOI:10.1145/356056
      Issue’s Table of Contents

      Copyright © 1983 ACM

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 1 December 1983
      Published in toms Volume 9, Issue 4

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