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Selective computation. II. The positive definite square root of a positive definite matrix

โœ Scribed by Richard Bellman


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
90 KB
Volume
66
Category
Article
ISSN
0022-247X

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On positive definite solution of a nonli
โœ Zhen-yun Peng; Salah M. El-Sayed ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 148 KB

## Abstract In this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equation __X__ + __A__^\*^__X__^โˆ’ฮฑ^__A__ = __Q__ with ฮฑ โˆˆ (0, โˆž) are given. Iterative methods to obtain the positive definite solutions are established and the rat