𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hermite Positive Definite Solution of a Class of Matrix Equation

✍ Scribed by Panpan Liu; Shugong Zhang; Qingchun Li

Book ID
119353922
Publisher
Elsevier
Year
2011
Tongue
English
Weight
301 KB
Volume
15
Category
Article
ISSN
1877-7058

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

On Hermitian positive definite solution
On Hermitian positive definite solution of the matrix equation
✍ Xuefeng Duan; Anping Liao πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 506 KB

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.

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.