| Mahvish SAMAR,Aamir FAROOQ,穆春来,Iram MUSHTAQ.Indefinite Least Squares Problem with Quadratic Constraint and Its Condition Numbers[J].数学研究及应用,2020,40(1):57~72 |
| Indefinite Least Squares Problem with Quadratic Constraint and Its Condition Numbers |
| Indefinite Least Squares Problem with Quadratic Constraint and Its Condition Numbers |
| 投稿时间：2018-08-21 修订日期：2019-03-03 |
| DOI：10.3770/j.issn:2095-2651.2020.01.006 |
| 中文关键词: indefinite least squares problem quadratic constraint normwise condition number mixed condition number componentwise condition number |
| 英文关键词:indefinite least squares problem quadratic constraint normwise condition number mixed condition number componentwise condition number |
| 基金项目:国家自然科学基金(Grant No.11671060)，中央高校基本科研专项基金(Grant No.106112015CDJXY100003). |
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| 中文摘要: |
| In this paper, we consider the indefinite least squares problem with quadratic constraint and its condition numbers. The conditions under which the problem has the unique solution are first presented. Then, the normwise, mixed, and componentwise condition numbers for solution and residual of this problem are derived. Numerical example is also provided to illustrate these results. |
| 英文摘要: |
| In this paper, we consider the indefinite least squares problem with quadratic constraint and its condition numbers. The conditions under which the problem has the unique solution are first presented. Then, the normwise, mixed, and componentwise condition numbers for solution and residual of this problem are derived. Numerical example is also provided to illustrate these results. |
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