Abstract
We introduce strong B-matrices and strong B-Nekrasov matrices, for which some error bounds for linear complementarity problems are analyzed. In particular, it is proved that the bounds of García-Esnaola and Peña (Appl. Math. Lett. 22, 1071–1075, 2009) and of (Numer. Algor. 72, 435–445, 2016) are asymptotically optimal for strong B-matrices and strong B-Nekrasov matrices, respectively. Other comparisons with a bound of Li and Li (Appl. Math. Lett. 57, 108–113, 2016) are performed.
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Acknowledgements
The authors wish to thank the anonymous referees for their valuable suggestions to improve the paper. This work was partially supported by the Spanish Research Grant MTM2015-65433-P (MINECO/FEDER), Gobierno de Aragón and Fondo Social Europeo.
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This work was partially supported by the Spanish Research Grant MTM2015-65433-P (MINECO/FEDER), Gobierno de Aragón and Fondo Social Europeo.
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Research partially supported by the Spanish Research Grant MTM2015-65433-P (MINECO/FEDER) and by Gobierno de Aragón and Fondo Social Europeo.
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García-Esnaola, M., Peña, J.M. On the asymptotic optimality of error bounds for some linear complementarity problems. Numer Algor 80, 521–532 (2019). https://doi.org/10.1007/s11075-018-0495-1
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DOI: https://doi.org/10.1007/s11075-018-0495-1