**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**3

# Search results for: minimum norm solution

##### 3 An Iterative Method for the Symmetric Arrowhead Solution of Matrix Equation

**Authors:**
Minghui Wang,
Luping Xu,
Juntao Zhang

**Abstract:**

**Keywords:**
Iterative Method,
like-minimum norm,
minimum norm,
Symmetric arrowhead matrix,
Algorithm LSQR

##### 2 Iterative solutions to the linear matrix equation AXB + CXTD = E

**Authors:**
Yongxin Yuan,
Jiashang Jiang

**Abstract:**

**Keywords:**
Parameter Estimation,
iterative algorithm,
Matrix Equation,
minimum norm solution

##### 1 Iterative Solutions to Some Linear Matrix Equations

**Authors:**
Jiashang Jiang,
Hao Liu,
Yongxin Yuan

**Abstract:**

In this paper the gradient based iterative algorithms are presented to solve the following four types linear matrix equations: (a) AXB = F; (b) AXB = F, CXD = G; (c) AXB = F s. t. X = XT ; (d) AXB+CYD = F, where X and Y are unknown matrices, A,B,C,D, F,G are the given constant matrices. It is proved that if the equation considered has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. The numerical results show that the proposed method is reliable and attractive.

**Keywords:**
Parameter Estimation,
iterative algorithm,
Matrix Equation,
minimum norm solution