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Volume 22, Issue 4
Structured Backward Errors for Structured KKT Systems

Xinxiu Li & Xinguo Liu

J. Comp. Math., 22 (2004), pp. 605-610.

Published online: 2004-08

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  • Abstract

In this paper we study structured backward errors for some structured KKT systems. Normwise structured backward errors for structured KKT systems are defined, and computable formulae of the structured backward errors are obtained. Simple numerical examples show that the structured backward errors may be much larger than the unstructured ones in some cases.

  • Keywords

Structured KKT system, Structured backward error, Normwise backward error.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-605, author = {Li , Xinxiu and Liu , Xinguo}, title = {Structured Backward Errors for Structured KKT Systems}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {4}, pages = {605--610}, abstract = {

In this paper we study structured backward errors for some structured KKT systems. Normwise structured backward errors for structured KKT systems are defined, and computable formulae of the structured backward errors are obtained. Simple numerical examples show that the structured backward errors may be much larger than the unstructured ones in some cases.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10309.html} }
TY - JOUR T1 - Structured Backward Errors for Structured KKT Systems AU - Li , Xinxiu AU - Liu , Xinguo JO - Journal of Computational Mathematics VL - 4 SP - 605 EP - 610 PY - 2004 DA - 2004/08 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10309.html KW - Structured KKT system, Structured backward error, Normwise backward error. AB -

In this paper we study structured backward errors for some structured KKT systems. Normwise structured backward errors for structured KKT systems are defined, and computable formulae of the structured backward errors are obtained. Simple numerical examples show that the structured backward errors may be much larger than the unstructured ones in some cases.

Li , Xinxiu and Liu , Xinguo. (2004). Structured Backward Errors for Structured KKT Systems. Journal of Computational Mathematics. 22 (4). 605-610. doi:
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