caa a22 4500 475769724 CHVBK 20180406123616.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1007/s101070050023 doi (NATIONALLICENCE)springer-10.1007/s101070050023 Global s -type error bound for the extended linear complementarity problem and applications [Elektronische Daten] [Jianzhong Zhang, Naihua Xiu] Abstract. : For the extended linear complementarity problem over an affine subspace, we first study some characterizations of (strong) column/row monotonicity and (strong) R 0-property. We then establish global s-type error bound for this problem with the column monotonicity or R 0-property, especially for the one with the nondegeneracy and column monotonicity, and give several equivalent formulations of such error bound without the square root term for monotone affine variational inequality. Finally, we use this error bound to derive some properties of the iterative sequence produced by smoothing methods for solving such a problem under suitable assumptions. Springer-Verlag Berlin Heidelberg, 2000 Key words: the extended linear complementarity problem - monotonicity -R0-property - global s-type error bound Mathematics Subject Classification (1991): 90C30, 90C33 nationallicence Zhang Jianzhong Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, e-mail: mazhang@cityu.edu.hk, HK aut Xiu Naihua Department of Applied Mathematics, Northern Jiaotong University, Beijing 100044, China, e-mail: nhxiu@center.njtu.edu.cn, CN aut Mathematical Programming Springer-Verlag 88/2(2000-08-01), 391-410 0025-5610 88:2<391 2000 88 10107 https://doi.org/10.1007/s101070050023 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s101070050023 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhang Jianzhong Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, e-mail: mazhang@cityu.edu.hk, HK aut NATIONALLICENCE 700 1- Xiu Naihua Department of Applied Mathematics, Northern Jiaotong University, Beijing 100044, China, e-mail: nhxiu@center.njtu.edu.cn, CN aut NATIONALLICENCE 773 0- Mathematical Programming Springer-Verlag 88/2(2000-08-01), 391-410 0025-5610 88:2<391 2000 88 10107 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer