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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.

  • AMS Subject Headings

65F99, 65G99

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-9-270, author = {Huaian Diao and Tongyu Zhou}, 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 AU - Huaian Diao & Tongyu Zhou 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 and 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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