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Merris, Russell; Dias da Silva, J. A.

Generalized Schur functions. (English) Zbl 0309.15006

J. Algebra 35, 442-448 (1975).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 22 Documents

MSC:

15A15 Determinants, permanents, traces, other special matrix functions
15B51 Stochastic matrices
15B57 Hermitian, skew-Hermitian, and related matrices
15A69 Multilinear algebra, tensor calculus
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References:

[1] Freese, Ralph, Inequalities for generalized matrix functions based on arbitrary characters, Linear Algebra Appl., 7, 337-345 (1973) · Zbl 0283.15004
[2] Marcus, Marvin, Finite Dimensional Multilinear Algebra (1973), Marcel Dekker: Marcel Dekker New York, Part I · Zbl 0284.15024
[3] Marcus, Marvin; Minc, Henryk, Generalized matrix functions, Trans. Amer. Math. Soc., 116, 316-329 (1965) · Zbl 0178.35902
[4] Marcus, Marvin; Newman, Morris, Inequalities for the permanent function, Ann. of Math., 75, 47-62 (1962) · Zbl 0103.00703
[5] Marcus, Marvin; Nikolai, Paul J., Inequalities for some monotone matrix functions, Canad. J. Math., 21, 485-494 (1969) · Zbl 0196.05703
[6] Marcus, Marvin; Pierce, Stephen, Extensions of the Minkowski inequality, Linear Algebra Appl., 1, 13-27 (1968) · Zbl 0164.03201
[7] Russell MerrisCanad. J. Math.; Russell MerrisCanad. J. Math. · Zbl 0323.15007
[8] Merris, Russell; Newman, Morris, An explicit isomorphism with applications to inequalities for matrix functions, J. Algebra, 25, 468-474 (1973) · Zbl 0274.15009
[9] Newman, Morris, Matrix Representations of Groups, (Nat. Bur. Standards Appl. Math. Ser. 60 (1968), U.S. Government Printing Office: U.S. Government Printing Office Washington D.C.) · Zbl 0372.20036
[10] Schur, I., Über endliche Gruppen und Hermitesche Formen, Math. Z., 1, 184-207 (1918) · JFM 46.0174.03
[11] van der Waerden, B. L., Aufgabe 45, Jber. Deutsch. Math. Verein, 35, 117 (1926)
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