Extension of Newton's method to nonlinear functions with values in a cone

Author:

Robinson Stephen M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference14 articles.

1. Ben-Israel, A.: A Newton-Raphson method for the solution of systems of equations. J. Math. Anal. Appl.15, 243?252 (1966).

2. Ben-Israel, A.: Linear equations and inequalities on finite-dimensional, real or complex, vector spaces: A unified theory. J. Math. Anal. Appl.27, 367?389 (1969).

3. Levitin, E. S., Polyak, B. T.: Constrained minimization methods. ?. Vy?isl. Mat. i Mat. Fiz.6, 5, 787?823 (1966) [Russian]; English translation: U.S.S.R. Comput. Math. and Math. Phys.6, 5, 1?50 (1966).

4. Mangasarian, O. L.: Private communication to the author.

5. Ortega, J. M.: The Newton-Kantorovich theorem. Amer. Math. Monthly75, 658?660 (1968).

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