论文信息 - Rearrangement and Extremal Results for Hermitian Matrices. - 字舞流文

Rearrangement and Extremal Results for Hermitian Matrices.

Abstract This paper contains extreme value results for concave and convex symmetric functions of the eigenvalues of B + P ∗ AP as functions of the partial isometry P . The matrices A and B are Hermitian.

[1] M. Marcus,et al. Extremal properties of Hermitian matrices. II , 1956 .

[2] J. N. Whiteley. Some inequalities concerning symmetric forms , 1958 .

[3] M. Fiedler. Bounds for the determinant of the sum of hermitian matrices , 1971 .

[4] S. Berkowitz. Extrema of elementary symmetric polynomials of the eigenvalues of the matrix P∗KP+L , 1974 .

[5] H. Wielandt. An extremum property of sums of eigenvalues , 1955 .

[6] Spectral properties of higher derivations on symmetry classes of tensors , 1969 .

[7] M. Marcus,et al. Inequalities for Symmetric Functions and Hermitian Matrices , 1957, Canadian Journal of Mathematics.