Generalized functions of symmetric matrices
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- by Marvin Marcus and Morris Newman PDF
- Proc. Amer. Math. Soc. 16 (1965), 826-830 Request permission
References
- Garrett Birkhoff, Three observations on linear algebra, Univ. Nac. Tucumán. Revista A. 5 (1946), 147–151 (Spanish). MR 0020547
- Marvin Marcus, On two classical results of I. Schur, Bull. Amer. Math. Soc. 70 (1964), 685–688. MR 164977, DOI 10.1090/S0002-9904-1964-11162-9
- Marvin Marcus and Morris Newman, Inequalities for the permanent function, Ann. of Math. (2) 75 (1962), 47–62. MR 136628, DOI 10.2307/1970418 —, The permanent of a symmetric matrix, Abstract 587-85, Notices Amer. Math. Soc. 8 (1961), 595.
- Marvin Marcus and Henryk Minc, Some results on doubly stochastic matrices, Proc. Amer. Math. Soc. 13 (1962), 571–579. MR 139625, DOI 10.1090/S0002-9939-1962-0139625-6 John Maxfield and Henryk Minc, A doubly stochastic matrix equivalent to a given matrix, Notices Amer. Math. Soc. 9 (1962), 309.
- I. Schur, Über endliche Gruppen und Hermitesche Formen, Math. Z. 1 (1918), no. 2-3, 184–207 (German). MR 1544291, DOI 10.1007/BF01203611 Richard Sinkhorn, On best doubly stochastic estimates, Notices Amer. Math. Soc. 9 (1962), 294.
- Richard Sinkhorn, A relationship between arbitrary positive matrices and doubly stochastic matrices, Ann. Math. Statist. 35 (1964), 876–879. MR 161868, DOI 10.1214/aoms/1177703591
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 826-830
- MSC: Primary 15.20
- DOI: https://doi.org/10.1090/S0002-9939-1965-0179182-4
- MathSciNet review: 0179182