Generalized matrix functions

Generalized matrix functions
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Trans. Amer. Math. Soc. 116 (1965), 316-329

DOI: https://doi.org/10.1090/S0002-9947-1965-0194445-9

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References

Marvin Marcus, The permanent analogue of the Hadamard determinant theorem, Bull. Amer. Math. Soc. 69 (1963), 494–496. MR 153688, DOI 10.1090/S0002-9904-1963-10975-1
Marvin Marcus, The use of multilinear algebra for proving matrix inequalities, Recent Advances in Matrix Theory (Proc. Advanced Seminar, Math. Res. Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1963) Univ. Wisconsin Press, Madison, Wis., 1964, pp. 61–80. MR 0177994
M. Marcus and J. L. McGregor, Extremal properties of Hermitian matrices, Canadian J. Math. 8 (1956), 524–531. MR 80624, DOI 10.4153/CJM-1956-059-0
Marvin Marcus and Henryk Minc, Inequalities for general matrix functions, Bull. Amer. Math. Soc. 70 (1964), 308–313. MR 158896, DOI 10.1090/S0002-9904-1964-11136-8
Marvin Marcus and Henryk Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Inc., Boston, Mass., 1964. MR 0162808
Marvin Marcus and Morris Newman, Inequalities for the permanent function, Ann. of Math. (2) 75 (1962), 47–62. MR 136628, DOI 10.2307/1970418
Henryk Minc, A note on an inequality of M. Marcus and M. Newman, Proc. Amer. Math. Soc. 14 (1963), 890–892. MR 155844, DOI 10.1090/S0002-9939-1963-0155844-8
I. Schur, Über endliche Gruppen und Hermitesche Formen, Math. Z. 1 (1918), no. 2-3, 184–207 (German). MR 1544291, DOI 10.1007/BF01203611

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