{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T19:59:41Z","timestamp":1772827181045,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1986,10,1]],"date-time":"1986-10-01T00:00:00Z","timestamp":528508800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Programming"],"published-print":{"date-parts":[[1986,10]]},"DOI":"10.1007\/bf02591989","type":"journal-article","created":{"date-parts":[[2007,3,29]],"date-time":"2007-03-29T15:35:01Z","timestamp":1175182501000},"page":"54-71","source":"Crossref","is-referenced-by-count":183,"title":["Inexact Newton methods for the nonlinear complementarity problem"],"prefix":"10.1007","volume":"36","author":[{"given":"Jong-Shi","family":"Pang","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02591989_CR1","unstructured":"H.Z. Aashtiani, \u201cThe multi-modal traffic assignment problem,\u201d Ph.D. dissertation, Alfred P. Sloan School of Management, Massachusetts Institute of Technology (1979)."},{"key":"BF02591989_CR2","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1002\/nav.3800330106","volume":"33","author":"R.W. Cottle","year":"1986","unstructured":"R.W. Cottle, S.G. Duval and K. Zikan, \u201cA Lagrangean relaxation algorithm for the constrained matrix problem,\u201dNaval Research Logistics Quarterly 33 (1986) 55\u201376","journal-title":"Naval Research Logistics Quarterly"},{"key":"BF02591989_CR3","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1137\/0719025","volume":"19","author":"R.S. Dembo","year":"1982","unstructured":"R.S. Dembo, S.G. Eisenstat and T. Steihaug, \u201cInexact Newton methods,\u201dSIAM Journal on Numerical Analysis 19 (1982) 400\u2013408.","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"BF02591989_CR4","first-page":"83","volume-title":"Numericla Optimization 1984","author":"R.S. Dembo","year":"1985","unstructured":"R.S. Dembo and U. Tulowitzki, \u201cSequential truncated quadratic programming methods,\u201d in Paul T. Boggs, R.H. Byrd and R.B. Schnabel, eds.,Numericla Optimization 1984 (SIAM, Philadelphia, 1985) pp. 83\u2013101."},{"key":"BF02591989_CR5","unstructured":"R.S. Dembo and U. Tulowitzki \u201cLocal convergence analysis for successive inexact quadratic programming methods,\u201d SOM Working Paper, Series B #78, School of Organization and Management, Yale University (Revised October 1984)."},{"key":"BF02591989_CR6","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1137\/1019005","volume":"19","author":"J.E. Dennis","year":"1977","unstructured":"J.E. Dennis and J. Mor\u00e9, \u201cQuasi-Newton methods: Motivation and theory,\u201dSIAM Review 19 (1977) 46\u201389.","journal-title":"SIAM Review"},{"key":"BF02591989_CR7","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/978-1-4613-3572-6_5","volume-title":"Homotopy Methods and Global Convergence","author":"B.C. Eaves","year":"1983","unstructured":"B.C. Eaves, \u201cWhere solving for stationary points by LCPs is mixing Newton iterates,\u201d in B.C. Eaves, F.J. Gould, H.O. Peitgen and M.J. Todd, eds.Homotopy Methods and Global Convergence (Plenum Press, New York, 1983) pp. 63\u201378."},{"key":"BF02591989_CR8","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/BF02591861","volume":"31","author":"P.C. Jones","year":"1985","unstructured":"P.C. Jones, R. Saigal and M. Schneider, \u201cComputing nonlinear network equilibria,\u201dMathematical Programming 31 (1985) 57\u201366.","journal-title":"Mathematical Programming"},{"key":"BF02591989_CR9","series-title":"Technical Summary Report","volume-title":"Newton\u2019s method for generalized equations","author":"N.H. Josephy","year":"1979","unstructured":"N.H. Josephy, \u201cNewton\u2019s method for generalized equations,\u201d Technical Summary Report No. 1965, Mathematics Research Center, University of Wisconsin (Madison, Wisconsin, 1979)."},{"key":"BF02591989_CR10","series-title":"Technical Summary Report","volume-title":"Quasi-Newton methods for generalized equations","author":"N.H. Josephy","year":"1979","unstructured":"N.H. Josephy, \u201cQuasi-Newton methods for generalized equations,\u201d Technical Summary Report No. 1966, Mathematics Research Center, University of Wisconsin (Madison, Wisconsin, 1979)."},{"key":"BF02591989_CR11","series-title":"Technical Summary Report","volume-title":"A Newton method for the PIES energy model","author":"N.H. Josephy","year":"1979","unstructured":"N.H. Josephy, \u201cA Newton method for the PIES energy model,\u201d Technical Summary Report No. 1977, Mathematics Research Center, University of Wisconsin (Madison, Wisconsin, 1979)."},{"key":"BF02591989_CR12","doi-asserted-by":"crossref","first-page":"1225","DOI":"10.1287\/opre.33.6.1225","volume":"33","author":"L. Mathiesen","year":"1985","unstructured":"L. Mathiesen, \u201cComputational experience in solving equilibrium models by a sequence of linear complementarity problems,\u201dOperations Research 33 (1985) 1225\u20131250.","journal-title":"Operations Research"},{"key":"BF02591989_CR13","volume-title":"Iterative Solution of Nonlinear Equations in Several Variables","author":"J. Ortega","year":"1970","unstructured":"J. Ortega and W.C. Rheinboldt,Iterative Solution of Nonlinear Equations in Several Variables (Academic Press, New York, 1970)."},{"key":"BF02591989_CR14","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1111\/j.1467-9787.1984.tb00811.x","volume":"24","author":"J.S. Pang","year":"1984","unstructured":"J.S. Pang, \u201cSolution of the general multicommodity spatial equilibrium problems by variational and complementarity methods,\u201dJournal of Regional Science 24 (1984) 403\u2013414.","journal-title":"Journal of Regional Science"},{"key":"BF02591989_CR15","unstructured":"J.S. Pang, \u201cMore results on the convergence of iterative methods for the symmetric linear complementarity problem,\u201d to appear inJournal of Optimization Theory and Applications."},{"key":"BF02591989_CR16","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1007\/BF01585112","volume":"24","author":"J.S. Pang","year":"1982","unstructured":"J.S. Pang and D. Chan, \u201cIterative methods for variational and complementarity problems,\u201dMathematical Programming 24 (1982) 284\u2013313.","journal-title":"Mathematical Programming"},{"key":"BF02591989_CR17","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1002\/net.3230140306","volume":"14","author":"J.S. Pang","year":"1984","unstructured":"J.S. Pang and C.S. Yu, \u201cLinearized simplicial decomposition methods for computing traffic equilibria on networks,\u201dNetworks 14 (1984) 427\u2013438.","journal-title":"Networks"},{"key":"BF02591989_CR18","volume-title":"Alternative algorithms for computing economic equilibria","author":"P.V. Preckel","year":"1984","unstructured":"P.V. Preckel, \u201cAlternative algorithms for computing economic equilibria,\u201d manuscript, Department of Agricultural Economics, Purdue University (West Lafayette, Indiana, 1984)."},{"key":"BF02591989_CR19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01585500","volume":"7","author":"S.M. Robinson","year":"1974","unstructured":"S.M. Robinson, \u201cPerturbed Kuhn-Tucker points and rates of convergence for a class of nonlinear programming algorithms,\u201dMathematical Programming 7 (1974) 1\u201316.","journal-title":"Mathematical Programming"},{"key":"BF02591989_CR20","series-title":"Technical Summary Report","volume-title":"An implicit-function theorem for generalized variational inequalities","author":"S.M. Robinson","year":"1976","unstructured":"S.M. Robinson, \u201cAn implicit-function theorem for generalized variational inequalities,\u201d Technical Summary Report No. 1672, Mathematics Research Center, University of Wisconsin (Madison, Wisconsin, 1976)."},{"key":"BF02591989_CR21","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1287\/moor.5.1.43","volume":"5","author":"S.M. Robinson","year":"1980","unstructured":"S.M. Robinson, \u201cStrongly regular generalized equations,\u201dMathematics of Operations Research 5 (1980) 43\u201362.","journal-title":"Mathematics of Operations Research"},{"key":"BF02591989_CR22","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1007\/978-3-642-68874-4_14","volume-title":"Mathematical Programming: The State of the Art","author":"S.M. Robinson","year":"1983","unstructured":"S.M. Robinson, \u201cGeneralized equations,\u201d in A. Bachem, M. Grotschel and B. Korte, eds.,Mathematical Programming: The State of the Art (Springer-Verlag, Berlin, 1983) pp. 346\u2013367."},{"key":"BF02591989_CR23","doi-asserted-by":"crossref","first-page":"877","DOI":"10.1137\/0314056","volume":"14","author":"R.T. Rockafellar","year":"1976","unstructured":"R.T. Rockafellar, \u201cMonotone operators and the proximal point algorithm,\u201dSIAM Journal on Control and Optimization 14 (1976) 877\u2013898.","journal-title":"SIAM Journal on Control and Optimization"},{"key":"BF02591989_CR24","series-title":"SOM Working Paper","volume-title":"Inexact successive linearization methods for variational inequality problems","author":"U. Tulowitzki","year":"1984","unstructured":"U. Tulowitzki, \u201cInexact successive linearization methods for variational inequality problems,\u201d SOM Working Paper, School of Organization and Management, Yale University (New Haven, Connecticut, October 1984)."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02591989.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02591989\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02591989","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T23:37:51Z","timestamp":1558395471000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02591989"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1986,10]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1986,10]]}},"alternative-id":["BF02591989"],"URL":"https:\/\/doi.org\/10.1007\/bf02591989","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1986,10]]}}}