Abstract
<abstract><p>In this paper, an error bound for linear complementarity problems of strong $ SDD $$ _{1} $ matrices is given. By properties of $ SDD $$ _{1} $ matrices, a new subclass of $ P $-matrices called $ SDD_{1} $-$ B $ is presented, which contains $ B $-matrices. A new error bound of linear complementarity problems for $ SDD_{1} $-$ B $ is also provided, which improves the corresponding results. Numerical examples are given to illustrate the effectiveness of the obtained results.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference17 articles.
1. M. García-Esnaola, J. M. Peña, Error bounds for linear complementarity problems for $B$-matrices, Appl. Math. Lett., 22 (2009), 1071–1075. https://doi.org/10.1016/j.aml.2008.09.001
2. K. G. Murty, Linear complementarity, linear and nonlinear programming, Berlin: Heldermann, 1988.
3. R. W. Cottle, J. S. Pang, R. E. Stone, The linear complementarity problem, San Diego: Academic Press, 1992.
4. X. J. Chen, S. H. Xiang, Computation of error bounds for $P$-matix linear complementary problems, Math. Program., 106 (2006), 513–525. https://doi.org/10.1007/s10107-005-0645-9
5. L. Cvetković, V. Kostić, S. Rauški, A new subclass of $H$-matrices, Appl. Math. Comput., 208 (2009), 206–210. https://doi.org/10.1016/j.amc.2008.11.037
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献