{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,27]],"date-time":"2026-04-27T11:59:42Z","timestamp":1777291182406,"version":"3.51.4"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2014,12,3]],"date-time":"2014-12-03T00:00:00Z","timestamp":1417564800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2015,8]]},"DOI":"10.1007\/s11590-014-0834-7","type":"journal-article","created":{"date-parts":[[2014,12,2]],"date-time":"2014-12-02T08:18:14Z","timestamp":1417508294000},"page":"1231-1245","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A half thresholding projection algorithm for sparse solutions of LCPs"],"prefix":"10.1007","volume":"9","author":[{"given":"Meijuan","family":"Shang","sequence":"first","affiliation":[]},{"given":"Chao","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Dingtao","family":"Peng","sequence":"additional","affiliation":[]},{"given":"Shenglong","family":"Zhou","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,12,3]]},"reference":[{"key":"834_CR1","doi-asserted-by":"crossref","first-page":"2829","DOI":"10.1109\/TIT.2008.924688","volume":"54","author":"EJ Cand\u00e8s","year":"2006","unstructured":"Cand\u00e8s, E.J., Randall, P.A.: Highly robust error correction by convex programming. IEEE Trans. Inf. Theory 54, 2829\u20132840 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"834_CR2","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1007\/s10208-009-9045-5","volume":"9","author":"EJ Cand\u00e8s","year":"2008","unstructured":"Cand\u00e8s, E.J., Recht, B.: Exact matrix completion via convex optimization. Found. of Comput. Math. 9, 717\u2013772 (2008)","journal-title":"Found. of Comput. Math."},{"key":"834_CR3","doi-asserted-by":"crossref","first-page":"1207","DOI":"10.1002\/cpa.20124","volume":"59","author":"EJ Cand\u00e8s","year":"2006","unstructured":"Cand\u00e8s, E.J., Romberg, J., Tao, T.: Stable signal recovery from incomplete and inaccurate measurements. Commun. Pure Appl. Math. 59, 1207\u20131223 (2006)","journal-title":"Commun. Pure Appl. Math."},{"key":"834_CR4","volume-title":"The Linear Complementarity Problem","author":"RW Cottle","year":"1992","unstructured":"Cottle, R.W., Pang, J.S., Stone, R.E.: The Linear Complementarity Problem. Academic Press, Boston (1992)"},{"key":"834_CR5","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","volume":"52","author":"DL Donoho","year":"2006","unstructured":"Donoho, D.L.: Compressed sensing. IEEE Trans. Inf. Theory 52, 1289\u20131306 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"834_CR6","volume-title":"Springer Series in Operations Research, vols. I and II","author":"F Facchinei","year":"2003","unstructured":"Facchinei, F., Pang, J.S.: Finite-dimensional variational inequalities and complementarity problems. Springer Series in Operations Research, vols. I and II. Springer, New York (2003)"},{"key":"834_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3279-5","volume-title":"Complementarity: Applications, Algorithms and Extensions","author":"MC Ferris","year":"2001","unstructured":"Ferris, M.C., Mangasarian, O.L., Pang, J.S.: Complementarity: Applications, Algorithms and Extensions. Kluwer Academic Publishers, Dordrecht (2001)"},{"key":"834_CR8","doi-asserted-by":"crossref","first-page":"673","DOI":"10.1137\/S105262349731577X","volume":"8","author":"M Fukushima","year":"1998","unstructured":"Fukushima, M., Pang, J.S.: Some feasibility issues in mathematical programs with equilibrium constraints. SIAM J. Optim. 8, 673\u2013681 (1998)","journal-title":"SIAM J. Optim."},{"key":"834_CR9","doi-asserted-by":"crossref","first-page":"724","DOI":"10.1137\/S1052623499363232","volume":"12","author":"M Fukushima","year":"2002","unstructured":"Fukushima, M., Tseng, P.: An implementable active-set algorithm for computing a B-stationary point of a mathematical program with linear complementarity constraints. SIAM J. Optim. 12, 724\u2013739 (2002)","journal-title":"SIAM J. Optim."},{"key":"834_CR10","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1287\/opre.2013.1170","volume":"61","author":"J Gao","year":"2013","unstructured":"Gao, J., Li, D.: Optimal cardinality constrained portfolio selection. Oper. Res. 61, 745\u2013761 (2013)","journal-title":"Oper. Res."},{"key":"834_CR11","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1080\/10556780600627610","volume":"21","author":"G Lin","year":"2006","unstructured":"Lin, G., Fukushima, M.: New reformulations for stochastic nonlinear complementarity problems. Optim. Methods Softw. 21, 551\u2013564 (2006)","journal-title":"Optim. Methods Softw."},{"key":"834_CR12","doi-asserted-by":"crossref","unstructured":"Luo, Z. Q., Pang, J. S., Ralph, D.: Mathematical programs with equilibrium constraints. Cambridge University Press, New York (1996)","DOI":"10.1017\/CBO9780511983658"},{"key":"834_CR13","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1038\/381607a0","volume":"381","author":"BA Olshausen","year":"1996","unstructured":"Olshausen, B.A., Field, D.J.: Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 381, 607\u2013609 (1996)","journal-title":"Nature"},{"key":"834_CR14","unstructured":"Peng, D., Xiu, N., Yu, J.: $$S_{1\/2}$$ S 1 \/ 2 Regularization methods and fixed point algorithms for affine rank minimization problems. http:\/\/www.optimization-online.org\/DB_FILE\/2013\/01\/3727"},{"key":"834_CR15","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1007\/s10957-014-0549-z","volume":"163","author":"M Shang","year":"2014","unstructured":"Shang, M., Zhang, C., Xiu, N.: Minimal zero norm solutions of linear complementarity problems. J. Optim. Theory Appl. 163, 795\u2013814 (2014)","journal-title":"J. Optim. Theory Appl."},{"key":"834_CR16","first-page":"431","volume":"46","author":"R Tibshirani","year":"1996","unstructured":"Tibshirani, R.: Regression shrinkage and selection via the lasso. J. R. Stat. Soc. 46, 431\u2013439 (1996)","journal-title":"J. R. Stat. Soc."},{"key":"834_CR17","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1093\/imanum\/8.2.231","volume":"8","author":"PHL Toint","year":"1988","unstructured":"Toint, P.H.L.: Global convergence of a class of trust region methods for nonconvex minimization in Hilbert space. IMA J Numer. Anal. 8, 231\u2013252 (1988)","journal-title":"IMA J Numer. Anal."},{"key":"834_CR18","first-page":"87","volume":"4","author":"J Xie","year":"2008","unstructured":"Xie, J., He, S., Zhang, S.: Randomized portfolio selection with constraints. Pac. J. Optim. 4, 87\u2013112 (2008)","journal-title":"Pac. J. Optim."},{"key":"834_CR19","doi-asserted-by":"crossref","first-page":"1013","DOI":"10.1109\/TNNLS.2012.2197412","volume":"23","author":"Z Xu","year":"2012","unstructured":"Xu, Z., Chang, X., Xu, F., Zhang, H.: $$L_{1\/2}$$ L 1 \/ 2 regularization: a thresholding representation theory and a fast solver. IEEE Trans. Neural Netw. Learn. Syst. 23, 1013\u20131027 (2012)","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"834_CR20","unstructured":"Zheng, X., Sun, X., Li, D.: Improving the performance of MIQP solvers for quadratic programs with cardinality and minimum threshold constraints: a semidefinite program approach. http:\/\/www.optimization-online.org\/DB_FILE\/2010\/11\/2797"}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-014-0834-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-014-0834-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-014-0834-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T13:11:41Z","timestamp":1559394701000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-014-0834-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12,3]]},"references-count":20,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2015,8]]}},"alternative-id":["834"],"URL":"https:\/\/doi.org\/10.1007\/s11590-014-0834-7","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,12,3]]}}}