求解广义瑞利商的和的最大值问题

时间:2023-05-16 11:04:32
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文件名称:求解广义瑞利商的和的最大值问题

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更新时间:2023-05-16 11:04:32

广义瑞利商的和的优化问题

The Rayleigh quotient plays a significant role in finding eigenvalues of symmetric matrices. Moreover, maximizing the sum of the Rayleigh quotient and the generalized Rayleigh quotient over the unit sphere has several applications in the real world. It can arise in the downlink of a multi-user multi-input and multi-output (MIMO) system and in the sparse Fisher discriminant analysis in pattern recognition [10]. The computation of the eigenvalues of matrices appears in a wide variety of problems in engineering and physical sciences. Indeed, eigenspace computation is used in several areas, such as control theory, signal processing, structural dynamics, and data mining.


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