{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,18]],"date-time":"2026-10-18T11:53:02Z","timestamp":1792324382998,"version":"4.4.0"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2016,8]]},"abstract":"<jats:p> This paper is devoted to the study of solving method for a type of inverse linear semidefinite programming problem in which both the objective parameter and the right-hand side parameter of the linear semidefinite programs are required to adjust. Since such kind of inverse problem is equivalent to a mathematical program with semidefinite cone complementarity constraints which is a rather difficult problem, we reformulate it as a nonconvex semi-definte programming problem by introducing a nonsmooth partial penalty function to penalize the complementarity constraint. The penalized problem is actually a nonsmooth DC programming problem which can be solved by a sequential convex program approach. Convergence analysis of the penalty models and the sequential convex program approach are shown. Numerical results are reported to demonstrate the efficiency of our approach. <\/jats:p>","DOI":"10.1142\/s0217595916500251","type":"journal-article","created":{"date-parts":[[2016,7,18]],"date-time":"2016-07-18T09:37:43Z","timestamp":1468834663000},"page":"1650025","source":"Crossref","is-referenced-by-count":7,"title":["A Sequential Convex Program Approach to an Inverse Linear Semidefinite Programming Problem"],"prefix":"10.1142","volume":"33","author":[{"given":"Jia","family":"Wu","sequence":"first","affiliation":[{"name":"Institute of Operations Research and Control Theory, School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yi","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Science, East China University of Science and Technology, Shanghai 200237, P. R. 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