Indefinite Least Squares Problem with Quadratic Constraint and Its Condition Numbers
Received:August 21, 2018  Revised:March 03, 2019
Key Word: indefinite least squares problem   quadratic constraint   normwise condition number   mixed condition number   componentwise condition number  
Fund ProjectL: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 NameAffiliation
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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