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On the Kantorovich inequality

โœ Scribed by Andreas H. Schopf

Publisher
Springer-Verlag
Year
1960
Tongue
English
Weight
101 KB
Volume
2
Category
Article
ISSN
0029-599X

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๐Ÿ“œ SIMILAR VOLUMES

The geometrical meaning of the Kantorovi
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โœ Karl Gustafson ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

The KantorovichยฑWielandt angle he and the author's operator angle /e are related by cos /e 2 sin he. Here A is an arbitrary symmetric positive deยฎnite (SPD) matrix. The relationship of these two dierent geometrical perspectives is discussed. An extension to arbitrary nonsingular matrices A is given.

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โœ Jun Ichi Fujii; Yuki Seo; Masaru Tominaga ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 243 KB

As a converse of the arithmetic and geometric mean inequality, Specht gave the ratio of the arithmetic one by the geometric one in 1960. We can reap the rich harvest of the Specht ratio in operator theory. In this paper, we shall present other characterizations of the chaotic order and the usual one