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

Hanzhi Chen; Zhenhong Huang; Mengmeng Song; Yong Xia

doi:10.1016/j.laa.2025.01.031

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

Hanzhi Chen
, Zhenhong Huang
, Mengmeng Song
, Yong Xia^*

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

The study confirms the convexity of the joint numerical range of any k real-valued linear functions on the n×p complex Stiefel manifold under the condition k≤2n−2p+1. Revealing the hidden convexity of fractional linear programming on the complex Stiefel manifold, a first-time study, serves as an impactful application.

源语言	英语
页（从-至）	95-110
页数	16
期刊	Linear Algebra and Its Applications
卷	710
DOI	https://doi.org/10.1016/j.laa.2025.01.031
出版状态	已出版 - 1 4月 2025

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abstract = "The study confirms the convexity of the joint numerical range of any k real-valued linear functions on the n×p complex Stiefel manifold under the condition k≤2n−2p+1. Revealing the hidden convexity of fractional linear programming on the complex Stiefel manifold, a first-time study, serves as an impactful application.",

keywords = "Complex Stiefel manifold, Convexity, Fractional linear programming, Numerical range",

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AU - Chen, Hanzhi

AU - Huang, Zhenhong

AU - Song, Mengmeng

AU - Xia, Yong

PY - 2025/4/1

Y1 - 2025/4/1

N2 - The study confirms the convexity of the joint numerical range of any k real-valued linear functions on the n×p complex Stiefel manifold under the condition k≤2n−2p+1. Revealing the hidden convexity of fractional linear programming on the complex Stiefel manifold, a first-time study, serves as an impactful application.

AB - The study confirms the convexity of the joint numerical range of any k real-valued linear functions on the n×p complex Stiefel manifold under the condition k≤2n−2p+1. Revealing the hidden convexity of fractional linear programming on the complex Stiefel manifold, a first-time study, serves as an impactful application.

KW - Complex Stiefel manifold

KW - Convexity

KW - Fractional linear programming

KW - Numerical range

UR - https://www.scopus.com/pages/publications/85216474151

U2 - 10.1016/j.laa.2025.01.031

DO - 10.1016/j.laa.2025.01.031

M3 - 文章

AN - SCOPUS:85216474151

SN - 0024-3795

VL - 710

SP - 95

EP - 110

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

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

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