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Singular values and diagonal elements of complex symmetric matrices. (English) Zbl 0408.15007


MSC:

15A18 Eigenvalues, singular values, and eigenvectors
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[1] Fan, Ky, Maximum properties and inequalities for the eigenvalues of completely continous operators, Proc. Nat. Acad. Sci. U.S.A., 37, 760-766 (1951) · Zbl 0044.11502
[2] Fan, Ky; Pall; Gordon, Canda. J. Math., 9, 298-304 (1957)
[3] Gohberg, I. C.; Krein, M. G., Introduction to the Theory of Linear Nonselfadjoint Operators, Translations of the American Mathematical Society, 18 (1969) · Zbl 0181.13504
[4] Horn, A., Doubly stochastic matrices and the diagonal of a rotation matrix, Amer. J. Math., 76, 620-630 (1954) · Zbl 0055.24601
[5] Schur, I., Ein Satz uber quadratischer Formen mit komplexen Koeffizienten, Collected Works, Vol. 3, 370-378 (1973)
[6] Thompson, R. C., Singular values, diagonal elements, and convexity, SIAM J. Appl. Math., 32, 39-63 (1977) · Zbl 0361.15009
[7] Tromberg, B.; Waldenstrom, S., Bounds on the diagonal elements of a unitary matrix, Linear Algebra and Appl., 20, 189-195 (1978) · Zbl 0383.15018
[8] Waldenstrom, S., S-matrix and unitary bounds for three channel systems, with applications to low-energy photoproduction of pions from nucleons, Nuclear Phys., B77, 479-493 (1974)
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