Computing local minimizers of a multivariate polynomial under genericity conditions
Người báo cáo: Vũ Trung Hiếu (Norwegian University of Science and Technology)

Thời gian: 09h00, thứ 4 ngày 03.04.2024

Địa điểm: Phòng 302 nhà A5 Viện Toán học.

Tóm tắt: In this talk, we are interested in computing the local minimizers of a multivariate polynomial under genericity conditions. By using a technique in computer algebra, we provide a univariate representation for the set of local minimizers. In particular, the coordinates of all local minimizers can be represented by several univariate polynomial equalities and one univariate polynomial matrix inequality. Based on the technique, we design an algorithm to enumerate the local minimizers and provide some experimental examples.

The talk is based on joint work with Akiko Takeda (University of Tokyo).

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