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On the {\L}ojasiewicz Exponent of the Qu...

Gao, Bin...

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On the {\L}ojasiewicz Exponent of the Quadratic Sphere Constrained Optimization Problem by Gao, Bin ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	09-08-2023
Summary	In this paper, we prove that the global version of the ${\L}$ojasiewicz gradient inequality holds for quadratic sphere constrained optimization problem with exponent $\theta=\frac{3}{4}$. An example from Ting Kei Pong shows that $\theta=\frac{3}{4}$ is tight. This is the first ${\L}$ojasiewicz gradient inequality established for the sphere constrained optimization problem with a linear term.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1611.08781

Citation

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AMA 11th EditionReferences

Gao, Bin. On the {\L}ojasiewicz Exponent of the Quadratic Sphere Constrained Optimization Problem. Australian National University. August 09, 2023. Accessed October 01, 2025. https://online.provdatabase.com/cite/14301

APA 7th EditionReferences

Gao, Bin. (2023). On the {\L}ojasiewicz Exponent of the Quadratic Sphere Constrained Optimization Problem. Australian National University. https://online.provdatabase.com/cite/14301

Chicago 17th EditionReferences

Gao, Bin. On the {\L}ojasiewicz Exponent of the Quadratic Sphere Constrained Optimization Problem. Australian National University. 2023. https://online.provdatabase.com/cite/14301

HarvardReferences

Gao, Bin. (2023). On the {\L}ojasiewicz Exponent of the Quadratic Sphere Constrained Optimization Problem. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/14301. (Accessed 01 October 2025).

Harvard AustraliaReferences

Gao, Bin, 2023, On the {\L}ojasiewicz Exponent of the Quadratic Sphere Constrained Optimization Problem, Australian National University, viewed 01 October 2025, <https://online.provdatabase.com/cite/14301>

MLA 9th EditionWorks Cited

Gao, Bin. On the {\L}ojasiewicz Exponent of the Quadratic Sphere Constrained Optimization Problem. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/14301.

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