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Original Articles

Quasi-newton methods for monlinear equations and unconstrained optimization problems

Pages 71-89 | Received 12 Jun 1990, Published online: 19 Mar 2007

References

  • Bertsekas , D. P. 1981 . Constrained Optimization and Lagrange Multiplier Methods , London : Academic Press .
  • Broyden , C. G. , Dennis , J. E. and Moré , J. J. 1973 . On the local and superlinear convergence of quasi-Newton methods . J. Inst. Math. Appl. , 12 : 223 – 246 .
  • Corradi , G. 1986 . A second order method for unconstrained optimization . Intern. J. Computer Math. , 20 : 253 – 260 .
  • Dennis , J. E. and Walker , H. F. 1981 . Convergence theorems for least-chance secant update methods . Siam J. Numer. Anal. , 18 : 949 – 987 . 19 443
  • Dennis , J. E. and Schnabel , R. B. 1983 . Numerical Methods for Unconstrained Optimization and Nonlinear Equations , Englewood Cliffs, New Jersey : Prentice-Hall .
  • Ortega , J. M. and Rheinboldt , W. C. 1970 . Iterative solution of nonlinear equations in several variables , New York : Academic Press .
  • Polak , E. 1971 . Computational Methods in Optimization: A Unified Approach , New York : Academic Press .

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