Name
Abstract | ||
|---|---|---|
A perturbation theory for the Bott-Duffin inverse A(L)(+) of A with respect to a subspace L is developed. The perturbation bound for the solution of the constrained system Ax + y = b, x ∈ L, y ∈ L⊥ is established, where A ∈ Mn(C), a subspace L ⊂ Cn and b ∈ Cn. Meanwhile this paper shows the generalized Bott-Duffin condition number KgBD(A) = ∥ A ∥ . ∥ A(L)(+)∥ to be minimum in the inequality of error analysis. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1016/S0096-3003(01)00041-8 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Bott–Duffin inverse,Generalized Bott–Duffin inverse,Perturbation,Condition number | Existence theorem,Hilbert space,Condition number,Perturbation theory,Mathematical analysis,Banach space,Moore–Penrose pseudoinverse,Generalized inverse,Hermitian matrix,Mathematics | Journal |
Volume | Issue | ISSN |
129 | 1 | 0096-3003 |
Citations | PageRank | References |
3 | 1.05 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guo-Liang Chen | 1 | 106 | 17.84 |
| Guo-Ming Liu | 2 | 3 | 1.05 |
| Yifeng Xue | 3 | 7 | 2.09 |