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).
作者单位
Mahvish SAMAR 重庆大学数学与统计学院, 重庆 401331 
Aamir FAROOQ 重庆大学数学与统计学院, 重庆 401331 
穆春来 重庆大学数学与统计学院, 重庆 401331 
Iram MUSHTAQ 重庆大学数学与统计学院, 重庆 401331 
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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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