| Indefinite Least Squares Problem with Quadratic Constraint and Its Condition Numbers |
| Received:August 21, 2018 Revised:March 03, 2019 |
| Key Words:
indefinite least squares problem quadratic constraint normwise condition number mixed condition number componentwise condition number
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11671060) and the Fundamental Research Funds for the Central Universities (Grant No.106112015CDJXY100003). |
| Author Name | Affiliation | | Mahvish SAMAR | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China | | Aamir FAROOQ | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China | | Chunlai MU | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China | | Iram MUSHTAQ | Institute of Statistics, Nankai University, Tianjin 300071, P. R. China |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2020.01.006 |
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