Perturbation analysis of the Hermitian positive definite solution of the matrix equation X − A*X−2A = I
✍ Scribed by Mingsong Cheng; Shufang Xu
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 235 KB
- Volume
- 394
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we consider the positive definite solutions of nonlinear matrix equation X + A ૽ X -δ A = Q, where δ ∈ (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)
We consider the inequality u t ≥ u -1 2 x • ∇u + λu + h x t u p , for p > 1 λ ∈ , posed in N × + N ≥ 1. We show that, in certain growth conditions, there is an absence of global weak solutions.
The equation x t y c t x t y is considered in the critical case. For it, the ȧsymptotic behavior of dominant and subdominant solutions is studied. A generalization is made and connections with known results are discussed.