Positive definite solutions of the nonlinear matrix equation
โ Scribed by Zhou, Bin; Cai, Guang-Bin; Lam, James
- Book ID
- 122858881
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 505 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
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๐ SIMILAR VOLUMES
In this paper we consider the positive definite solutions of nonlinear matrix equation X + A เซฝ X -ฮด A = Q, where ฮด โ (0, 1], which appears for the first time in [S.M. El-Sayed, A.C.M. Ran, On an iteration methods for solving a class of nonlinear matrix equations, SIAM J. Matrix Anal. Appl. 23 (2001)
## Abstract In this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equation __X__ + __A__^\*^__X__^โฮฑ^__A__ = __Q__ with ฮฑ โ (0, โ) are given. Iterative methods to obtain the positive definite solutions are established and the rat