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On Hessian limit directions along non-oscillating gradient trajectories | Vincent Grandjean
; | Date: |
3 Mar 2011 | Abstract: | Given a non-oscillating gradient trajectory G of a real analytic function f,
we show that the limit v of the secants at the limit point O of G along the
trajectory G is an eigen-vector of the limit of the direction of the Hessian
matrix Hess (f) at O along G. The same holds true at infinity if the function
is globally subanalytic. We also deduce some interesting estimates along the
trajectory. | Source: | arXiv, 1103.0729 | Services: | Forum | Review | PDF | Favorites |
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