Least-squares symmetric solution to the matrix equation AXB = C with the norm inequality constraint

Abstract

In this paper, an iterative method to compute symmetric least-squares solution of the matrix equation AXB = C with the norm inequality constraint is proposed. For this method, without the error of calculation, a desired solution can be obtained with finitely iterate steps. Numerical experiments are performed to illustrate the efficiency and application of the algorithm.

Keywords:

• matrix equation
• iterative method
• norm-constrained problem
• symmetric least-squares problem

2010 AMS Subject Classifications:

• 65F10
• 68U10

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Research supported by the National Natural Science Foundation of China [11371075,61473325,11261014].