# Journal of Advances in Applied Mathematics

### On the Hermite Positive Definite Solution of the Matrix Equation *X + A∗ (I*_{m}⊗ X-C)^{-t}A=Q

_{m}⊗ X-C)

^{-t}A=Q

Download PDF (246 KB) PP. 63 - 70 Pub. Date: January 1, 2017

### Author(s)

**Yan Feng**^{*}

School of Information Science and Technology, Qingdao University of Science and Technology, Qingdao, China**Luping Xu**

School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China**Minghui Wang**

School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China

### Abstract

*X + A∗ (I*is considered in this paper. A sufficient and necessary condition for Hermite positive definite (HPD) solutions of this equation is presented by using properties of the Kronecker product. Two iterative methods for solving the equation are constructed by making use of the principle of the bounded sequence. The feasibility and effectiveness of the iterative methods are verified by numerical example.

_{m}⊗ X-C)^{-t}A=Q### Keywords

### References

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