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• W2053643774 abstract "This paper reports on some recent developments in the area of solving of nonsmooth equations by generalized Newton methods. The emphasis is on three topics: motivation, characterization of superlinear convergence, and a new Gauss–Newton method for solving a certain class of nonsmooth equations. The characterization of superlinear convergence extends the classical result of Dennis and Moré for smooth equations and that of Ip and Kyparisis for B-differentiable equations. The Gauss–Newton method is different from that proposed recently by Han, Pang, and Rangaraj; it uses convex quadratic programs to generate descent directions for the least-squares merit function." @default.
• W2053643774 created "2016-06-24" @default.
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• W2053643774 date "1993-08-01" @default.
• W2053643774 modified "2023-09-30" @default.
• W2053643774 title "Nonsmooth Equations: Motivation and Algorithms" @default.
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• W2053643774 doi "https://doi.org/10.1137/0803021" @default.
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