A Fast Projected Gradient Algorithm for Quaternion Hermitian Eigenvalue Problems

In this paper, based on the novel generalized Hamilton-real (GHR) calculus, we propose for the first time a quaternion Nesterov accelerated projected gradient algorithm for computing the dominant eigenvalue and eigenvector of quaternion Hermitian matrices. By introducing momentum terms and look-ahea...

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Bibliographic Details
Main Authors: Shan-Qi Duan, Qing-Wen Wang
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/6/994
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