Name
Abstract | ||
|---|---|---|
Let S and Ŝ be two sets of solutions to matrix least squares problem (LSP) AXB=C and the perturbed matrix LSP ÂX̂B̂=Ĉ, respectively, where Â=A+ΔA, B̂=B+ΔB, Ĉ=C+ΔC, and ΔA, ΔB, ΔC are all small perturbation matrices. For any given X∈S, we deduce general formulas of the least squares solutions X̂∈Ŝ that are closest to X under appropriated norms, meanwhile, we present the corresponding distances between them. With the obtained results, we derive perturbation bounds for the nearest least squares solutions. At last, a numerical example is provided to verify our analysis. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.cam.2014.06.007 | Journal of Computational and Applied Mathematics |
Keywords | DocType | Volume |
65F20,65F35,15A09 | Journal | 273 |
Issue | ISSN | Citations |
C | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 6 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sitao Ling | 1 | 39 | 6.01 |
| Musheng Wei | 2 | 129 | 24.67 |
| Zhigang Jia | 3 | 43 | 9.02 |