{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,12,31]],"date-time":"2024-12-31T23:40:24Z","timestamp":1735688424557,"version":"3.32.0"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[1989,1,1]],"date-time":"1989-01-01T00:00:00Z","timestamp":599616000000},"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":[[1989,1]]},"DOI":"10.1007\/bf01582288","type":"journal-article","created":{"date-parts":[[2005,4,28]],"date-time":"2005-04-28T08:32:42Z","timestamp":1114677162000},"page":"175-186","source":"Crossref","is-referenced-by-count":6,"title":["Pairwise reactive sor algorithm for quadratic programming of net import spatial equilibrium models"],"prefix":"10.1007","volume":"43","author":[{"given":"F.","family":"G\u00fcder","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/BF00935545","volume":"33","author":"B.H. Ahn","year":"1981","unstructured":"B.H. Ahn, \u201cSolution of non-symmetric linear complementarity problems by iterative methods,\u201dJournal of Optimization Theory and Applications 33 (1981) 175\u2013185.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"CR2","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1287\/moor.4.3.209","volume":"4","author":"R. Asmuth","year":"1979","unstructured":"R. Asmuth, B.C. Eaves and E.L. Peterson, \u201cComputing economic equilibria on affine networks with Lemke's algorithm,\u201dMathematics of Operations Research 4 (1979) 209\u2013214.","journal-title":"Mathematics of Operations Research"},{"key":"CR3","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1137\/0309028","volume":"9","author":"C.W. Cryer","year":"1971","unstructured":"C.W. Cryer, \u201cThe solution of quadratic programming problem using systematic overrelaxation,\u201dSIAM Journal of Control 9 (1971) 385\u2013392.","journal-title":"SIAM Journal of Control"},{"key":"CR4","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0167-6377(84)90055-5","volume":"3","author":"S. Dafermos","year":"1984","unstructured":"S. Dafermos and A. Nagurney, \u201cA network formulation of market equilibrium problems and variational inequalities,\u201dOperations Research Letters 3 (1984) 247\u2013250.","journal-title":"Operations Research Letters"},{"key":"CR5","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1057\/jors.1980.203","volume":"31","author":"R.F. Deckro","year":"1980","unstructured":"R.F. Deckro and J.G. Morris, \u201cAn effective decomposition procedure for computing equilibrium single-commodity trade flows,\u201dJournal of Operational Research Society 31 (1980) 1085\u20131093.","journal-title":"Journal of Operational Research Society"},{"key":"CR6","unstructured":"U. Eckhart, \u201cQuadratic programming by successive overrelaxation,\u201d Kernforschungganlage Julich, Technical Report No. Jul-1064-MA (April 1974)."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"40","DOI":"10.2307\/1907907","volume":"10","author":"S. Enke","year":"1951","unstructured":"S. Enke, \u201cEquilibrium among spatially separated markets: Solution by electric analogue,\u201dEconometrica 10 (1951) 40\u201347.","journal-title":"Econometrica"},{"key":"CR8","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1016\/0166-0462(82)90008-4","volume":"12","author":"M. Florian","year":"1982","unstructured":"M. Florian and M. Los, \u201cA new look at static spatial price equilibrium models,\u201dRegional Science and Urban Economics 12 (1982) 579\u2013597.","journal-title":"Regional Science and Urban Economics"},{"key":"CR9","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1111\/j.1467-9787.1984.tb01043.x","volume":"24","author":"T.L. Friesz","year":"1984","unstructured":"T.L. Friesz, P.T. Harker and R.L. Tobin, \u201cAlternative algorithms for the general network spatial equilibrium problem,\u201dJournal of Regional Science 24 (1984) 475\u2013508.","journal-title":"Journal of Regional Science"},{"key":"CR10","doi-asserted-by":"crossref","unstructured":"J.K. Gilless and J. Buongiorno, \u201cPapyrus: A model of North American pulp and paper industry,\u201dForest Science Monograph 28 (1987), 37 pages.","DOI":"10.1093\/forestscience\/33.s1.a0001"},{"key":"CR11","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1007\/BF01588953","volume":"14","author":"C.R. Glassey","year":"1978","unstructured":"C.R. Glassey, \u201cA quadratic network optimization model for equilibrium single commodity trade flows,\u201dMathematical Programming 14 (1978) 98\u2013107.","journal-title":"Mathematical Programming"},{"key":"CR12","volume-title":"Solution of multi-commodity intertemporal spatial equilibrium problems","author":"F. G\u00fcder","year":"1983","unstructured":"F. G\u00fcder, \u201cSolution of multi-commodity intertemporal spatial equilibrium problems,\u201d Ph.D. Dissertation, University of Wisconsin-Madison, Madison, Wisconsin (1983)."},{"key":"CR13","unstructured":"F. G\u00fcder, \u201cA price formulation for single commodity spatial equilibrium model,\u201d American Institute Decision Sciences Proceeding, 16th Midwest Annual Midwest Conference, May (1985) 86\u201388."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1287\/inte.14.5.85","volume":"14","author":"F. G\u00fcder","year":"1984","unstructured":"F. G\u00fcder and J. Buongiorno, \u201cAn interregional analysis of the North American newsprint industry,\u201dInterfaces 14 (1984) 85\u201395.","journal-title":"Interfaces"},{"key":"CR15","series-title":"Working Paper","volume-title":"A two-line algorithm for computing equilibrium single commodity trade flows","author":"F. G\u00fcder","year":"1984","unstructured":"F. G\u00fcder and J.G. Morris, \u201cA two-line algorithm for computing equilibrium single commodity trade flows,\u201d Working Paper, 4-84-8, Graduate School of Business, University of Wisconsin-Madison (Madison, April 1984)."},{"key":"CR16","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1137\/1017035","volume":"17","author":"H.H. Hall","year":"1975","unstructured":"H.H. Hall, E.O. Heady, A. Stoecker and V.A. Sposito, \u201cSpatial equilibrium in U.S. agriculture: A quadratic programming analysis,\u201dSIAM Review 17 (1975) 323\u2013338.","journal-title":"SIAM Review"},{"key":"CR17","doi-asserted-by":"crossref","first-page":"410","DOI":"10.1287\/opre.34.3.410","volume":"34","author":"P. Harker","year":"1986","unstructured":"P. Harker, \u201cAlternativive models of spatial competition\u201c,Operations Research 34 (1986) 410\u2013425.","journal-title":"Operations Research"},{"key":"CR18","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1002\/nav.3800040113","volume":"4","author":"C. Hildreth","year":"1957","unstructured":"C. Hildreth, \u201cA quadratic programming procedure,\u201dNaval Research Logistics Quarterly 4 (1957) 79\u201385.","journal-title":"Naval Research Logistics Quarterly"},{"key":"CR19","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/0166-218X(86)90078-8","volume":"13","author":"P.C. Jones","year":"1986","unstructured":"P.C. Jones, R. Saigal and M.M. Schneider, \u201cA variable dimension homotopy on networks for computing linear spatial equilibria,\u201dDiscrete Applied Mathematics 13 (1986) 131\u2013156.","journal-title":"Discrete Applied Mathematics"},{"key":"CR20","volume-title":"Studies in Economic Planning Over Space and Time","author":"G.G. Judge","year":"1973","unstructured":"G.G. Judge and T. Takayama,Studies in Economic Planning Over Space and Time (North-Holland, London, 1973)."},{"key":"CR21","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1137\/0325023","volume":"25","author":"Y.Y. Lin","year":"1987","unstructured":"Y.Y. Lin and J.S. Pang, \u201cIterative methods for large convex quadratic programs: A survey,\u201dSIAM Journal on Control and Optimization 25 (1987) 383\u2013411.","journal-title":"SIAM Journal on Control and Optimization"},{"key":"CR22","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1007\/BF01268170","volume":"22","author":"O.L. Mangasarian","year":"1977","unstructured":"O.L. Mangasarian, \u201cSolution to symmetric linear complementarity problems by iterative methods,\u201dJournal of Optimization Theory and Applications 22 (1977) 465\u2013485.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"CR23","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/0305-0548(69)90004-5","volume":"11","author":"O.L. Mangasarian","year":"1984","unstructured":"O.L. Mangasarian, \u201cSparsity-preserving SOR algorithms for separable quadratic programming,\u201dComputers and Operations Research 11 (1984) 105\u2013112.","journal-title":"Computers and Operations Research"},{"key":"CR24","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1111\/j.1467-9787.1987.tb01144.x","volume":"27","author":"A. Nagurney","year":"1987","unstructured":"A. Nagurney, \u201cComputational comparisons of spatial Equilibrium Methods,\u201d Journal of Regional Science 27 (1987) 55\u201376.","journal-title":"Journal of Regional Science"},{"key":"CR25","first-page":"98","volume":"20","author":"J.S. Pang","year":"1981","unstructured":"J.S. Pang and P.L. Lee, \u201cA parametric linear complementarity technique for the computation of equilibrium prices in single-commodity trade flows,\u201dMathematical Programming 20 (1981) 98\u2013107.","journal-title":"Mathematical Programming"},{"key":"CR26","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1287\/mnsc.26.6.593","volume":"26","author":"J. Polito","year":"1980","unstructured":"J. Polito, B.A. McCarl and R.L. Morin, \u201cSolution of spatial equilibrium problems with Benders decomposition,\u201dManagement Science 26 (1980) 593\u2013605.","journal-title":"Management Science"},{"key":"CR27","first-page":"283","volume":"42","author":"P.A. Samuelson","year":"1952","unstructured":"P.A. Samuelson, \u201cSpatial price equilibrium and linear programming,\u201dAmerican Economic Review 42 (1952) 283\u2013303.","journal-title":"American Economic Review"},{"key":"CR28","volume-title":"Spatial and Temporal Price and Allocation Models","author":"T. Takayama","year":"1971","unstructured":"T. Takayama and G.G. Judge,Spatial and Temporal Price and Allocation Models (North-Holland, Amsterdam, 1971)."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01582288.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01582288\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01582288","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,31]],"date-time":"2024-12-31T23:20:56Z","timestamp":1735687256000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01582288"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,1]]},"references-count":28,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1989,1]]}},"alternative-id":["BF01582288"],"URL":"https:\/\/doi.org\/10.1007\/bf01582288","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"type":"print","value":"0025-5610"},{"type":"electronic","value":"1436-4646"}],"subject":[],"published":{"date-parts":[[1989,1]]}}}