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Extremization of functions with equality constraints. (English) Zbl 0346.90044
##### MSC:
 90C30 Nonlinear programming 41A25 Rate of convergence, degree of approximation
##### References:
 [1] M.J.D. Powell, ”A method for non-linear constraints in minimization problems,” in:Optimization, Symposium of the Institute of Mathematics and its Applications, Keele, Ed. R. Fletcher (Academic Press, New York, 1969). [2] D.A. Pierre,Optimization theory with applications (Wiley, New York, 1969). [3] A.V. Fiacco and G.P. McCormick,Nonlinear programming: sequential unconstrained minimization techniques (Wiley, New York, 1968). [4] E.M. Rosen, ”A review of quasi-Newton methods in nonlinear equation solving and unconstrained optimization,” in:Proceedings of the 21st National Conference of the Association for Computing Machinery (Academic Press, New York, 1966) pp. 37–42. [5] J.G.P. Barnes, ”An algorithm for solving non-linear equations based on the secant method,”Computer Journal 8 (1965) 66–72. · doi:10.1093/comjnl/8.2.113 [6] B.A. Murtagh and R.W.H. Sargent, ”A constrained minimization method with quadratic convergence,” in:Optimization, Symposium of the Institute of Mathematics and its Application, Keele, Ed. R. Fletcher (Academic Press, New York, 1969). [7] B. Noble,Applied linear algebra (Prentice-Hall, Englewoods-Cliffs, N.J., 1969). [8] M.R. Chidambara, ”On the inverse of certain matrices,”IEEE Transactions on Automatic Control, Vol. AC-12 (1967) 214–215. · doi:10.1109/TAC.1967.1098550