Highly Influenced

# An iterative algorithm for the least squares bisymmetric solutions of the matrix equations A1XB1=C1, A2XB2=C2

@article{Cai2009AnIA, title={An iterative algorithm for the least squares bisymmetric solutions of the matrix equations A1XB1=C1, A2XB2=C2}, author={Jing Cai and Guoliang Chen}, journal={Mathematical and Computer Modelling}, year={2009}, volume={50}, pages={1237-1244} }

- Published 2009 in Mathematical and Computer Modelling
DOI:10.1016/j.mcm.2009.07.004

In this paper, an iterative algorithm is constructed to solve the minimum Frobenius norm residual problem: min ∥∥∥(A1XB1 A2XB2)− (C1 C2)∥∥∥ over bisymmetric matrices. By this algorithm, for any initial bisymmetric matrix X0, a solution X can be obtained in finite iteration steps in the absence of roundoff errors, and the solution with least norm can be obtained by choosing a special kind of initial matrix. Furthermore, in the solution set of the above problem, the unique optimal approximation… CONTINUE READING

#### From This Paper

##### Topics from this paper.

14 Citations

19 References

Similar Papers