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计算数学（英文版）
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2026年6期
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RIEMANNIAN TRUST-REGION METHOD FOR THE LOG-DETERMINANT MODEL OF HERMITIAN MATRIX EIGENPROBLEMS
RIEMANNIAN TRUST-REGION METHOD FOR THE LOG-DETERMINANT MODEL OF HERMITIAN MATRIX EIGENPROBLEMS
摘要
The logarithm of the determinant of Hermitian positive semi-definite matrices arises in numerous contexts in statistic,machine learning,and information and communication engineering.In this paper,based on the logarithm of determinant,we propose the log-determinant optimization model from the Riemannian optimization viewpoint to compute the dominant eigenvalues and associated eigenvectors of a Hermitian positive semi-definite matrix.The Riemannian trust-region method is employed to solve this optimization prob-lem.Experimental results are reported to show the efficiency of the proposed method.
年，卷(期)：
2026, 44(6)
分类号：
65F15
65F99
机标分类号：
TP273+.4
TN911.3
O175.13
在线出版日期：
2026年9月15日
