Condition numbers for indefinite least squares problem with multiple right-hand sides
Received:November 15, 2016  Revised:December 15, 2016
Key Word: indefinite least squares problem   multiple right-hand sides   normwise condition number   mixed condition number   componentwise condition number   structured condition number  
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Author NameAffiliationE-mail
Lingling Yang Chongqing University cquyang00@163.com 
Hanyu Li Chongqing University lihy.hy@gmail.com; hyli@cqu.edu.cn 
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Abstract:
      In this paper, we investigate the condition numbers for indefinite least squares problem with multiple right-hand sides. The normwise, mixed and componentwise condition numbers and the corresponding structured condition numbers are presented. The structured matrices under consideration include the linear structured matrices, such as the Toeplitz, Hankel, symmetric, and tridiagonal matrices, and the nonlinear structured matrices, such as the Vandermonde and Cauchy matrices. Numerical examples show that the structured condition numbers are tighter than the unstructured ones.
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