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Newton method is one of the most powerful methods for finding solutions of nonlinear equations and for proving their existence.
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1996
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A.L. Dontchev, The Graves theorem revisited , J. of Convex Analysis. 3 (1996), pp. 45–53
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B.T. Polyak, Quadratic transformations and their use in optimization , J. of Optimization Theory and Applications, 99 (1998), pp. 553–583
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A.D. Ioffe: Variational Analysis of Regular Mappings , Springer, 2017
2017
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B. Polyak, A. Tremba, Sparse solutions of optimal control via Newton method for under-determined systems . Journal of Global Optimization, 2019, (Accepted) 10.1007/s10898-019-00784-z
2019
Closest in time.