Literature cited
V. M. Tikhomirov, Some Questions in Approximation Theory [in Russian], Moscow State Univ. (1976).
F. R. Gantmacher and M. G. Krein, Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme, Akademie Verlag, Berlin (1960).
G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge Univ. Press, London (1959).
A. Pinkus, “Some extremal problems for strictly totally positive matrices,” Linear Algebra Appl.,64, 141–156 (1985).
J. M. Ortega and W. C. Rheinholdt, Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York (1970).
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Translated from Matematicheskic Zametki, Vol. 47, No. 1, pp. 39–46, January, 1990.
The author is grateful to V. M. Tikhomirov for his assistance.
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Buslaev, A.P. A variational description of the spectra of totally positive matrices, and extremal problems of approximation theory. Mathematical Notes of the Academy of Sciences of the USSR 47, 26–31 (1990). https://doi.org/10.1007/BF01157280
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DOI: https://doi.org/10.1007/BF01157280