论文信息 - On eigenvalues of a Rayleigh quotient matrix

On eigenvalues of a Rayleigh quotient matrix

This note deals with the following problem: Let A be an n × nHermitian matrix, and Q and Q be two n × m (n>m⩾1) matricesboth with orthonormal column vectors. How do the eigenvalues of the m × m Hermitian matrix QHAQ differ from those of the m × m Hermitian matrix QHAQ? We give a positive answer to one of the unsolved problems raised recently by Sun.

Ren-Cang Li

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