复Stiefel流形上实值线性映射的数值范围：凸性及其应用

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-01-28 DOI:10.1016/j.laa.2025.01.031

Hanzhi Chen, Zhenhong Huang, Mengmeng Song, Yong Xia

引用次数: 0

摘要

研究证实了n×p复Stiefel流形上任意k个实值线性函数在k≤2n−2p+1条件下的联合数值范围的凸性。揭示复杂Stiefel流形上分数阶线性规划的隐凸性，是一项首次研究，具有重要的应用价值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical range of real-valued linear mapping on the complex Stiefel manifold: Convexity and application

The study confirms the convexity of the joint numerical range of any k real-valued linear functions on the

n \times p

complex Stiefel manifold under the condition

k \leq 2 n - 2 p + 1

. Revealing the hidden convexity of fractional linear programming on the complex Stiefel manifold, a first-time study, serves as an impactful application.

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.