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The Kantorovich and Some Related Inequalities

✍ Scribed by A. S. Householder

Book ID: 124930329
Publisher: Society for Industrial and Applied Mathematics
Year: 1965
Tongue: English
Weight: 605 KB
Volume: 7
Category: Article
ISSN: 0036-1445
DOI: 10.2307/2027767

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The Kantorovich function (x T Ax)(x T A -1 x), where A is a positive definite matrix, is not convex in general. From a matrix or convex analysis point of view, it is interesting to address the question: when is this function convex? In this paper, we prove that the 2-dimensional Kantorovich function