Volume 9, Issue 2
Linearised Estimate of the Backward Error for Equality Constrained Indefinite Least Squares Problems

Huaian Diao & Tongyu Zhou

East Asian J. Appl. Math., 9 (2019), pp. 270-279.

Published online: 2019-03

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  • Abstract

We study normwise backward error estimates for the equality constrained indefinite least squares problem and introduce an explicit sub-optimal linearisation estimate. Numerical examples show the reliability and efficiency of the estimate presented.

  • Keywords

Indefinite least squares, equality constrained indefinite least squares problem, normwise backward error, linearisation estimate.

  • AMS Subject Headings

65F99, 65G99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-9-270, author = {}, title = {Linearised Estimate of the Backward Error for Equality Constrained Indefinite Least Squares Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {2}, pages = {270--279}, abstract = {

We study normwise backward error estimates for the equality constrained indefinite least squares problem and introduce an explicit sub-optimal linearisation estimate. Numerical examples show the reliability and efficiency of the estimate presented.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.130518.170918}, url = {http://global-sci.org/intro/article_detail/eajam/13082.html} }
TY - JOUR T1 - Linearised Estimate of the Backward Error for Equality Constrained Indefinite Least Squares Problems JO - East Asian Journal on Applied Mathematics VL - 2 SP - 270 EP - 279 PY - 2019 DA - 2019/03 SN - 9 DO - http://doi.org/10.4208/eajam.130518.170918 UR - https://global-sci.org/intro/article_detail/eajam/13082.html KW - Indefinite least squares, equality constrained indefinite least squares problem, normwise backward error, linearisation estimate. AB -

We study normwise backward error estimates for the equality constrained indefinite least squares problem and introduce an explicit sub-optimal linearisation estimate. Numerical examples show the reliability and efficiency of the estimate presented.

Huaian Diao & Tongyu Zhou. (2019). Linearised Estimate of the Backward Error for Equality Constrained Indefinite Least Squares Problems. East Asian Journal on Applied Mathematics. 9 (2). 270-279. doi:10.4208/eajam.130518.170918
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