On nonnegative definite solutions to matrix quadratic equations
✍ Scribed by Vladimir Kuc̆era
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 631 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0005-1098
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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
It is pointed out that the main results in a recent paper by Kano (1987) have previously been published in the literature. IN KANO (1987), necessary and sufficient conditions are given for the existence and uniqueness of positive definite solutions to the algebraic Riccati equation and asymptotic s
Algebraic matrix Riccati equations are considered which arise in the optimal filtering as well as in control problems of continuous time-invariant systems. A necessary and sufficient condition is established for the existence of unique positivedefinite solutions and the asymptotically stable closed-
In this paper we prove that the mth root of a nonnegative definite matrix-valued function with continuous entries is continuous. In particular, if all the entries are , which generalizes the result on the square Ž .