𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Towards positive definite solutions of a class of nonlinear matrix equations

✍ Scribed by Li, Zhao-Yan; Zhou, Bin; Lam, James

Book ID
121743144
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
512 KB
Volume
237
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On positive definite solution of a nonli
On positive definite solution of a nonlinear matrix equation
✍ Zhen-yun Peng; Salah M. El-Sayed πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 148 KB

## Abstract In this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equation __X__ + __A__^\*^__X__^βˆ’Ξ±^__A__ = __Q__ with Ξ± ∈ (0, ∞) are given. Iterative methods to obtain the positive definite solutions are established and the rat

Positive definite solutions of the matri
Positive definite solutions of the matrix equations
✍ Xiaoyan Yin; Sanyang Liu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 393 KB

In this paper we investigate nonlinear matrix equations X Β± A \* X -q A = Q where q β‰₯ 1. We derive necessary conditions and sufficient conditions for the existence of positive definite solutions for these equations. We provide a sufficient condition for the equation X + A \* X -q A = Q to have two

Positive definite solutions of some matr
Positive definite solutions of some matrix equations
✍ Aleksandar S. CvetkoviΔ‡; Gradimir V. MilovanoviΔ‡ πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 162 KB

In this paper we investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. We present sufficient and necessary conditions for certain equations and only sufficient for others.