References
A. M. Ostrowski andOlga Taussky, On the Variation of the Determinant of a Positive Definite Matrix. Nederl. Akad. Wet. Proc. Ser. A,54, 383 (1951).
G. H.Hardy, J. E.Littlewood, G.Pólya, Inequalities. Cambridge 1934.
A. M. Ostrowski, Sur quelques applications des fonctions convexes et concaves au sens de I. Schur. J. Math. pur. appl., IX. Sér.31, 253 (1952).
M.Bocher, Introduction to Higher Algebra. New York 1907.
R. Bellman, Notes on Matrix Theory H. Amer. Math. Monthly,60, 174 (1953).
Ky Fan, Problem 4429. Amer. Math. Monthly,60, 48 (1953).
Ky Fan, On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations, I. Proc. nat. Acad. Sci. USA,35, 652 (1949).
I.Schur, Über eine Klasse von Mittelbildungen mit Anwendungen auf die Deteminanten-theorie. S. Ber. Deutsch. Akad. Wiss. Berlin, math.-naturw. Kl. 1923, p. 9.
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To A. M.Ostrowski on his 60th birthday.
The work of this author was sponsored (in part) by the Office of Scientific Research, U. S. Air Force.
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Bellman, R., Hoffman, A. On a theorem ofOstrowski andTaussky . Arch. Math 5, 123–127 (1954). https://doi.org/10.1007/BF01899327
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DOI: https://doi.org/10.1007/BF01899327