On almost hypoelliptic polynomials increasing at infinity
β Scribed by H. G. Ghazaryan
- Book ID
- 115065283
- Publisher
- Allerton Press, Inc.
- Year
- 2011
- Tongue
- English
- Weight
- 542 KB
- Volume
- 46
- Category
- Article
- ISSN
- 1068-3623
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
We correct a previously published theorem by proving a criterion to decide whether the ΓΏbration given by a real polynomial function f : R 2 β R is locally trivial at inΓΏnity. The algorithmical nature of this criterion provides a test that can be applied to any real polynomial f.