Article citationsMore>>

Yuan, S.-F. and Liao, A.-P. (2014) Least Squares Hermitian Solution of the Complex Matrix Equation AXB + CXD = E with the Least Norm. Journal of the Franklin Institute, 351, 4978-4997.
https://doi.org/10.1016/j.jfranklin.2014.08.003

has been cited by the following article:

• TITLE: Least Squares Hermitian Problem of Matrix Equation (AXB, CXD) = (E, F) Associated with Indeterminate Admittance Matrices

  AUTHORS: Yanfang Liang, Shifang Yuan, Yong Tian, Mingzhao Li

  KEYWORDS: Matrix Equation, Least Squares Solution, Least Norm Solution, Hermitian Indeterminate Admittance Matrices

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.6, June 14, 2018

  ABSTRACT: For A∈CmΧn, if the sum of the elements in each row and the sum of the elements in each column are both equal to 0, then A is called an indeterminate admittance matrix. If A is an indeterminate admittance matrix and a Hermitian matrix, then A is called a Hermitian indeterminate admittance matrix. In this paper, we provide two methods to study the least squares Hermitian indeterminate admittance problem of complex matrix equation (AXB,CXD)=(E,F), and give the explicit expressions of least squares Hermitian indeterminate admittance solution with the least norm in each method. We mainly adopt the Moore-Penrose generalized inverse and Kronecker product in Method I and a matrix-vector product in Method II, respectively.