Name
Title | ||
|---|---|---|
Finite iterative algorithm for the symmetric periodic least squares solutions of a class of periodic Sylvester matrix equations |
Abstract | ||
|---|---|---|
The present work proposes a finite iterative algorithm to find the least squares solutions of periodic matrix equations over symmetric ξ-periodic matrices. By this algorithm, for any initial symmetric ξ-periodic matrices, the solution group can be obtained in finite iterative steps in the absence of round-off errors, and the solution group with least Frobenius norm can be obtained by choosing a special kind of initial matrices. Furthermore, in the solution set of the above problem, the unique optimal approximation solution group to a given matrix group in the Frobenius norm can be derived by finding the least Frobenius norm symmetric ξ-periodic solution of a new corresponding minimum Frobenius norm problem. Finally, numerical examples are provided to illustrate the efficiency of the proposed algorithm and testify the conclusions suggested in this paper. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s11075-018-0553-8 | Numerical Algorithms |
Keywords | Field | DocType |
Periodic matrix equations, Iterative algorithm, Symmetric ξ-periodic solution, Least Frobenius norm, Finite number of iterations, Optimal approximation solution | Least squares,Applied mathematics,Matrix (mathematics),Mathematical analysis,Iterative method,Matrix norm,Solution set,Sylvester matrix,Periodic graph (geometry),Mathematics,Matrix group | Journal |
Volume | Issue | ISSN |
81.0 | 1 | 1572-9265 |
Citations | PageRank | References |
0 | 0.34 | 17 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bao-Hua Huang | 1 | 12 | 5.68 |
| Changfeng Ma | 2 | 100 | 16.25 |