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The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions

โœ Scribed by J. M. Borwein and P. B. Borwein


Book ID
124939964
Publisher
Society for Industrial and Applied Mathematics
Year
1984
Tongue
English
Weight
1008 KB
Volume
26
Category
Article
ISSN
0036-1445

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The matrix geometric mean of parameteriz
โœ Sejong Kim; Jimmie Lawson; Yongdo Lim ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 265 KB

We define a new family of matrix means {L ฮผ (ฯ‰; A)} ฮผโˆˆR where ฯ‰ and A vary over all positive probability vectors in R m and m-tuples of positive definite matrices resp. Each of these means interpolates between the weighted harmonic mean (ฮผ = -โˆž) and the arithmetic mean of the same weight (ฮผ = โˆž) wit