Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2003
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0309100 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918162898878464 |
|---|---|
| author | Lewis, Adrian S. |
| author_facet | Lewis, Adrian S. |
| contents | An important measure of conditioning of a conic linear system is the size of the smallest structured perturbation making the system ill-posed. We show that this measure is unchanged if we restrict to perturbations of low rank. We thereby derive a broad generalization of the classical Eckart-Young result characterizing the distance to ill-posedness for a linear map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0309100 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | The structured distance to ill-posedness for conic systems Lewis, Adrian S. Optimization and Control Numerical Analysis 15A12, 90C31, 65F35, 93B35 An important measure of conditioning of a conic linear system is the size of the smallest structured perturbation making the system ill-posed. We show that this measure is unchanged if we restrict to perturbations of low rank. We thereby derive a broad generalization of the classical Eckart-Young result characterizing the distance to ill-posedness for a linear map. |
| title | The structured distance to ill-posedness for conic systems |
| topic | Optimization and Control Numerical Analysis 15A12, 90C31, 65F35, 93B35 |
| url | https://arxiv.org/abs/math/0309100 |