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Remark on “Algorithm 500: Minimization of Unconstrained Multivariate Functions [E4]”

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Published:01 December 1980Publication History
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References

  1. 1 BRODLIE, K.W. An assessment of two approaches to variable metric methods. Math. Program. 12 (1977), 334-355.Google ScholarGoogle Scholar
  2. 2 FLETCHER, R., AND POWELL, M.J.D. A rapidly convergent descent method for minimization. Comput. J. 6 (1963), 163-168.Google ScholarGoogle Scholar
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  6. 6 POWELL, M.J.D. Some global convergence properties of a variable metric algorithm for minimization without exact line searches, in Nonhnear Programming, R.W. Cottle and C.E. Lemke, Eds., American Mathematical Soc, Providence, R.I., 1976Google ScholarGoogle Scholar
  7. 7 SHAI~NO, D.F. Conjugate gradient methods with inexact searches. Math. Oper. Res. 3 (1978), 244-256.Google ScholarGoogle Scholar
  8. 8 SHANNO, D.F. On the convergence of a new conjugate gradient method. SIAM. J Numer Anal 15 (1978), 1247-1257.Google ScholarGoogle Scholar
  9. 9 SHANNO, D.F. Quadratm termination of coniugate gradient methods. In Extrenal Methods and Systems Analys~s, A.V. Fiacco and K.O. Kortanek, Eds, Sprmger-Verlag, New York, 1980, pp. 4 33-441.Google ScholarGoogle Scholar
  10. 10 SHANSO, D.F., ASD PHUA, K.H. Matrix conditiomng and nonlinear optimization. Math. Program 14 (1978), 149-160.Google ScholarGoogle Scholar
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  12. 12 TOlNT, Pa.L. Some numerical results using a sparse matrix updating formula in unconstrained optimization. Math. Comput. 32 (1978), 839-852.Google ScholarGoogle Scholar

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  1. Remark on “Algorithm 500: Minimization of Unconstrained Multivariate Functions [E4]”

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          cover image ACM Transactions on Mathematical Software
          ACM Transactions on Mathematical Software  Volume 6, Issue 4
          Dec. 1980
          162 pages
          ISSN:0098-3500
          EISSN:1557-7295
          DOI:10.1145/355921
          Issue’s Table of Contents

          Copyright © 1980 ACM

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 1 December 1980
          Published in toms Volume 6, Issue 4

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