Why Study Spherical Convexity of Non-Homogeneous Quadratics and what Makes it Surprising?
Author
Abstract
Suggested Citation
DOI: 10.1007/s10957-025-02620-9
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- George Isac & Sándor Zoltán Németh, 2008. "Asymptotic Derivatives and Asymptotic Scalar Derivatives," Springer Optimization and Its Applications, in: Scalar and Asymptotic Scalar Derivatives, chapter 0, pages 31-77, Springer.
- Orizon P. Ferreira & Sándor Z. Németh & Jinzhen Zhu, 2023. "Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space," Journal of Optimization Theory and Applications, Springer, vol. 199(3), pages 1085-1105, December.
- O. P. Ferreira & S. Z. Németh, 2019. "On the spherical convexity of quadratic functions," Journal of Global Optimization, Springer, vol. 73(3), pages 537-545, March.
- Sándor Zoltán Németh & George Isac, 2008. "Scalar and Asymptotic Scalar Derivatives," Springer Optimization and Its Applications, Springer, number 978-0-387-73988-5, April.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Orizon P. Ferreira & Sándor Z. Németh & Jinzhen Zhu, 2023. "Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space," Journal of Optimization Theory and Applications, Springer, vol. 199(3), pages 1085-1105, December.
- Orizon Pereira Ferreira & Yingchao Gao & Sándor Zoltán Németh & Petra Renáta Rigó, 2024. "Gradient projection method on the sphere, complementarity problems and copositivity," Journal of Global Optimization, Springer, vol. 90(1), pages 1-25, September.
- O. P. Ferreira & S. Z. Németh, 2019. "On the spherical convexity of quadratic functions," Journal of Global Optimization, Springer, vol. 73(3), pages 537-545, March.
- Orizon P. Ferreira & Sándor Z. Németh & Jinzhen Zhu, 2024. "Convexity of Sets and Quadratic Functions on the Hyperbolic Space," Journal of Optimization Theory and Applications, Springer, vol. 202(1), pages 421-455, July.
- Orizon Pereira Ferreira & Sándor Zoltán Németh & Lianghai Xiao, 2020. "On the Spherical Quasi-convexity of Quadratic Functions on Spherically Subdual Convex Sets," Journal of Optimization Theory and Applications, Springer, vol. 187(1), pages 1-21, October.
- Dezhou Kong & Lishan Liu & Yonghong Wu, 2020. "Isotonicity of Proximity Operators in General Quasi-Lattices and Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 187(1), pages 88-104, October.
- Van-Bong Nguyen & Thi Ngan Nguyen & Ruey-Lin Sheu, 2020. "Strong duality in minimizing a quadratic form subject to two homogeneous quadratic inequalities over the unit sphere," Journal of Global Optimization, Springer, vol. 76(1), pages 121-135, January.
More about this item
Keywords
Sphere; Geodesic convexity; Quadratic functions; Optimization;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:205:y:2025:i:1:d:10.1007_s10957-025-02620-9. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.