Condition numbers for indefinite least squares problem with multiple right-hand sides
Condition numbers for indefinite least squares problem with multiple right-hand sides
投稿时间:2016-11-15  最后修改时间:2016-12-15
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中文关键词:  
英文关键词:indefinite least squares problem  multiple right-hand sides  normwise condition number  mixed condition number  componentwise condition number  structured condition number
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作者单位E-mail
杨玲玲 重庆大学数学与统计学院 cquyang00@163.com 
李寒宇 重庆大学数学与统计学院 lihy.hy@gmail.com; hyli@cqu.edu.cn 
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英文摘要:
      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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