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On the existence of a positive definite solution of the matrix equation X+ATX−1A= I

✍ Scribed by Jacob C. Engwerda


Book ID
107826579
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
852 KB
Volume
194
Category
Article
ISSN
0024-3795

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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__^−α^__A__ = __Q__ with α ∈ (0, ∞) are given. Iterative methods to obtain the positive definite solutions are established and the rat