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29 March 2024
 
  » arxiv » 1103.0729

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On Hessian limit directions along non-oscillating gradient trajectories
Vincent Grandjean ;
Date 3 Mar 2011
AbstractGiven 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
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