Title of article
On the stability of gradient polynomial systems at infinity Original Research Article
Author/Authors
Ha Huy Vui، نويسنده , , Nguyen Hong Duc، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
6
From page
257
To page
262
Abstract
We first define the notion of the infimum at infinity of a polynomial function and the notion of stability at infinity near the fiber of the gradient descent system. Then we prove that the gradient descent system is stable at infinity near the fiber of the infimum value at infinity.
Keywords
Stability at infinity near the fiber , The infimum value at infinity , Asymptotic critical values at infinity , ?ojasiewicz inequality , Gradient trajectories
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862849
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