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.
On the Hermitian positive definite solution of the nonlinear matrix equation
โ Scribed by You-mei He; Jian-hui Long
- Book ID
- 108051807
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 178 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0096-3003
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๐ SIMILAR VOLUMES
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In this paper, the Hermitian positive definite solutions of the matrix equation X s + A \* X -t A = Q are considered, where Q is an Hermitian positive definite matrix, s and t are positive integers. Necessary and sufficient conditions for the existence of an Hermitian positive definite solution are
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