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On the existence of a positive definite solution of the matrix equation

✍ Scribed by El-Sayed, Salah M.; Ramadan, Mohamed A.

Book ID
115446960
Publisher
Taylor and Francis Group
Year
2001
Tongue
English
Weight
234 KB
Volume
76
Category
Article
ISSN
0020-7160

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πŸ“œ SIMILAR VOLUMES

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A conjecture that the nonlinear matrix equation always has a unique Hermitian positive definite solution is proved. Some bounds of the unique Hermitian positive definite solution are given.

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