caa a22 4500 463168798 CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10957-007-9177-1 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9177-1 Sufficient Conditions for Global Optimality ofBivalentNonconvex Quadratic Programs withInequalityConstraints [Elektronische Daten] [Z. Wu, V. Jeyakumar, A. Rubinov] We present sufficient conditions for the global optimality of bivalent nonconvex quadratic programs involving quadratic inequality constraints as well as equality constraints. By employing the Lagrangian function, we extend the global subdifferential approach, developed recently in Jeyakumar et al. (J. Glob. Optim., 2007, to appear; Math. Program. Ser. A, 2007, to appear) for studying bivalent quadratic programs without quadratic constraints, and derive global optimality conditions. Springer Science+Business Media, LLC, 2007 Quadratic optimization nationallicence Quadratic inequality constraints nationallicence Binary constraints nationallicence Global optimality nationallicence Sufficient conditions nationallicence Wu Z. Department of Mathematics, Chongqing Normal University, Chongqing, People' Republic of China aut Jeyakumar V. Department of Applied Mathematics, University of New South Wales, Sydney, Australia aut Rubinov A. School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, Victoria, Australia aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/1(2007-04-01), 123-130 0022-3239 133:1<123 2007 133 10957 https://doi.org/10.1007/s10957-007-9177-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9177-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wu Z. Department of Mathematics, Chongqing Normal University, Chongqing, People' Republic of China aut NATIONALLICENCE 700 1- Jeyakumar V. Department of Applied Mathematics, University of New South Wales, Sydney, Australia aut NATIONALLICENCE 700 1- Rubinov A. School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, Victoria, Australia aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/1(2007-04-01), 123-130 0022-3239 133:1<123 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer