This letter deals with generalized Rayleigh quotient (RQ) minimization with possibly singular matrices in the quadratic forms. An extended theorem providing closed-form analytical solutions for different cases is derived. It is shown that the theorem is an extension of the typical RQ minimization. Next, its applications in array transmit beamforming under the criterion of minimum integrated sidelobe level are illustrated. Finally, theoretical analyses and numerical comparisons are provided to validate both the theorem and the beamformers.

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possibly singular matrices quadratic analytical generalized rayleigh quotient rq minimization theorem array transmit beamforming beamformers minimum integrated sidelobe level

Jian Wang, Changshui Zhang, Jian Yuan, Chunxiao Jiang,Haisheng Xu,.Generalized RQ Minimization With Applications in Array Transmit Beamforming. 16 (0),177-180.

Jian Wang, et al."Generalized RQ Minimization With Applications in Array Transmit Beamforming" 16

Jian Wang, Changshui Zhang, Jian Yuan, Chunxiao Jiang,Haisheng Xu,"Generalized RQ Minimization With Applications in Array Transmit Beamforming"