On the existence for cubic programming problems
Số 4 (83) 2023
Nguyễn Viết Tuân, Chu Thi Hien, Dang Dinh Ngoc, Vu Thi Ngoc, Nguyen Phuong Thao, Nguyen Thi Thanh Thuy
Tạp chí NCKH - Đại học Sao Đỏ
2023/12/30

In this note, we propose a Frank-Wolfe type Theorem for the existence of cubic programming problems. Our main tools are structure of 3-dimension tensors, S-lemma, recession cone, and properties of cubic functions. The obtained result is a partial answer to the open question for the existence in cubic program.

Frank-Wolfe Theorem; Cubic optimization; Solution existence; S-lemma; Recession cone.
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