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Kantorovich type inequality via Karcher mean

International Journal of Mathematical Analysis, 2015
Changsen Yang, Chaojun Yang
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Parameterized Kantorovich inequality for positive operators

, 1995
FUJII, MASATOSHI, KAMEI, EIZABURO, MATSUMOTO, AKEMI   +2 more
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Kantorovich theorem for variational inequalities

Applied Mathematics and Mechanics, 2004
The authors consider the known Newton method for variational inequalities and establish its local convergence properties. They specialize some estimates which determine the convergence neighborhood and can be computed explicitly.
Wang, Zhengyu, Shen, Zuhe
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Kantorovich-Type Inequalities

The American Mathematical Monthly, 1982
(1982). Kantorovich-Type Inequalities. The American Mathematical Monthly: Vol. 89, No. 5, pp. 314-330.
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The Kantorovich Inequality

The American Mathematical Monthly, 1995
(1995). The Kantorovich Inequality. The American Mathematical Monthly: Vol. 102, No. 9, pp. 820-821.
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Strong converse inequality for Kantorovich polynomials

Constructive Approximation, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, W., Ditzian, Z.
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Some Generalizations of Kantorovich Inequality

1981
Kantorovich gave an upper bound for the product (x'Vx)(x'V -1 x) where x is an n-vector of unit length and V is an nXn positive definite matrix. Bloomfield, Watson and Knott found the bound to |X'VXX'V -1 X|, and we found bounds for the trace and determinant of X'VYY'V -1 -1X where X and Y are nXk matrices such that X'X=Y'Y=I.
C. R. Rao, C. G. Khatri
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New Kantorovich type inequalities for negative parameters

Analysis Mathematica, 2020
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Furuichi, S., Moradi, H. R.
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Equivalence of the wielandt inequality and the kantorovich inequality

Linear and Multilinear Algebra, 2001
This note shows the equivalence of two well-known inequalities: the Wielandt inequality and the Kantorovich inequality.
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A Linear Programming Proof of Kantorovich's Inequality

The American Statistician, 1986
Abstract A simple linear programming proof of Kantorovich's inequality is given in this article. This inequality is usually used to compare the variances of the best linear estimates and least squares estimates in regression models.
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