Item Infomation
Title: |
An effective version of Schmüdgen’s Positivstellensatz for the hypercube |
Authors: |
Monique, Laurent Lucas, Slot |
Issue Date: |
2022 |
Publisher: |
Springer |
Abstract: |
Let S⊆Rn be a compact semialgebraic set and let f be a polynomial nonnegative on S. Schmüdgen’s Positivstellensatz then states that for any η>0, the nonnegativity of f+η on S can be certified by expressing f+η as a conic combination of products of the polynomials that occur in the inequalities defining S, where the coefficients are (globally nonnegative) sum-of-squares polynomials. It does not, however, provide explicit bounds on the degree of the polynomials required for such an expression. |
Description: |
CC BY |
URI: |
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7420 |
Appears in Collections |
OER - Công nghệ thông tin |
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