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| Content Provider | Springer Nature Link |
|---|---|
| Author | Eidelman, Y. Gohberg, I. |
| Copyright Year | 1997 |
| Abstract | Here are considered matrices represented as a sum of diagonal and semiseparable ones. These matrices belong to the class of structured matrices which arises in numerous applications. FastO(N) algorithms for their inversion were developed before under additional restrictions which are a source of instability. Our aim is to eliminate these restrictions and to develop reliable and stable numerical algorithms. In this paper we obtain such algorithms with the only requirement that the considered matrix is invertible and its determinant is not close to zero. The case of semiseparable matrices of order one was considered in detail in an earlier paper of the authors. |
| Ending Page | 183 |
| Page Count | 19 |
| Starting Page | 165 |
| File Format | |
| ISSN | 0378620X |
| e-ISSN | 14208989 |
| Journal | Integral Equations and Operator Theory |
| Issue Number | 2 |
| Volume Number | 27 |
| Language | English |
| Publisher | Birkhäuser-Verlag |
| Publisher Date | 1997-01-01 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Analysis Direct methods for linear systems and matrix inversion Linear equations Matrix inversion, generalized inverses |
| Content Type | Text |
| Resource Type | Article |
| Subject | Algebra and Number Theory Analysis |
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