The Hadamard theorem for permanents
HTML articles powered by AMS MathViewer
- by Marvin Marcus
- Proc. Amer. Math. Soc. 15 (1964), 967-973
- DOI: https://doi.org/10.1090/S0002-9939-1964-0168585-9
- PDF | Request permission
References
- E. Fischer, Über den Hadamardschen Determinantensatz, Arch. Math. Phys. (3) 13 (1908) 32-40.
- Nathan Jacobson, Lectures in abstract algebra. Vol. II. Linear algebra, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0053905
- Marvin Marcus and Henryk Minc, The Pythagorean theorem in certain symmetry classes of tensors, Trans. Amer. Math. Soc. 104 (1962), 510–515. MR 139626, DOI 10.1090/S0002-9947-1962-0139626-2
- Marvin Marcus and Morris Newman, Inequalities for the permanent function, Ann. of Math. (2) 75 (1962), 47–62. MR 136628, DOI 10.2307/1970418
- L. Mirsky, Results and problems in the theory of doubly-stochastic matrices, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 1 (1962/63), 319–334. MR 153038, DOI 10.1007/BF00533407
- I. Schur, Über endliche Gruppen und Hermitesche Formen, Math. Z. 1 (1918), no. 2-3, 184–207 (German). MR 1544291, DOI 10.1007/BF01203611
Bibliographic Information
- © Copyright 1964 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 15 (1964), 967-973
- MSC: Primary 15.20
- DOI: https://doi.org/10.1090/S0002-9939-1964-0168585-9
- MathSciNet review: 0168585