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On natural derivatives and the curvature formula in fibre bundles
fibre bundles natural derivatives connections integrability covariant derivatives
2011/8/31
Abstract: In a fibre bundle, natural derivatives of a section are defined as tangent vector fields on the image of a section of the fibre bundle. A local extension to vector fields in the tangent bund...
Generalized Newton's Method based on Graphical Derivatives
nonsmooth equations optimization and variational analysis Newton’s method
2010/11/29
This paper concerns developing a numerical method of the Newton type to solve systems of nonlinear equations described by nonsmooth continuous functions. We propose and justify
a new generalized Newt...