{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T11:22:34Z","timestamp":1649157754894},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[1988,1,1]],"date-time":"1988-01-01T00:00:00Z","timestamp":567993600000},"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":[[1988,1]]},"DOI":"10.1007\/bf01580731","type":"journal-article","created":{"date-parts":[[2005,4,28]],"date-time":"2005-04-28T05:54:00Z","timestamp":1114667640000},"page":"205-212","source":"Crossref","is-referenced-by-count":1,"title":["Convergence of relaxation algorithms by averaging"],"prefix":"10.1007","volume":"40-40","author":[{"given":"Gerard G. L.","family":"Meyer","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1007\/BF01397082","volume":"18","author":"A. Auslender","year":"1971","unstructured":"A. Auslender, \u201cMethodes numeriques pour la decomposition et la minimisation de fonctions non differentiables,\u201dNumerische Mathematik 18 (1971) 213\u2013223.","journal-title":"Numerische Mathematik"},{"key":"CR2","first-page":"1455","volume":"280","author":"J.Ch. Fiorot","year":"1975","unstructured":"J.Ch. Fiorot and P. Huard, \u201cComposition et reunion d'algorithmes generaux d'optimisation,\u201dComptes Rendus Hebdomadaires des Seances de l'Academie des Sciences (Paris) Tome 280 (1975) 1455\u20131458.","journal-title":"Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences (Paris) Tome"},{"key":"CR3","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/BFb0120844","volume":"10","author":"J.Ch. Fiorot","year":"1979","unstructured":"J.Ch. Fiorot and P. Huard, \u201cComposition and union of general algorithms of optimization,\u201dMathematical Programming Study 10 (1979) 69\u201385.","journal-title":"Mathematical Programming Study"},{"key":"CR4","volume-title":"Introduction to Linear and Nonlinear Programming","author":"D.G. Luenberger","year":"1973","unstructured":"D.G. Luenberger,Introduction to Linear and Nonlinear Programming (Addison-Wesley, Reading, 1973)."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1137\/0312047","volume":"12","author":"B. Martinet","year":"1974","unstructured":"B. Martinet and A. Auslender, \u201cMethodes de decomposition pour la minimisation d'une fonction sur un espace produit,\u201dSIAM Journal on Control 12 (1974) 635\u2013642.","journal-title":"SIAM Journal on Control"},{"key":"CR6","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1137\/0315049","volume":"15","author":"G.G.L. Meyer","year":"1977","unstructured":"G.G.L. Meyer, \u201cConvergence conditions for a type of algorithm model,SIAM Journal on Control and Optimization 15 (1977) 779\u2013784.","journal-title":"SIAM Journal on Control and Optimization"},{"key":"CR7","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/BF02591858","volume":"31","author":"G.G.L. Meyer","year":"1985","unstructured":"G.G.L. Meyer, \u201cConvergence properties of relaxation algorithms,\u201dMathematical Programming 31 (1985) 15\u201324.","journal-title":"Mathematical Programming"},{"key":"CR8","first-page":"1257","volume":"273","author":"J.C. Miellou","year":"1971","unstructured":"J.C. Miellou, \u201cMethode de Jacobi, Gauss-Seidel, sur-(sous) Relaxation par Blocs Appliquee a une Classe de Problemes Non-Lineaires,\u201dComptes Rendus Hebdomadaires des Seances de l'Academie des Sciences Series A (Paris) Tome 273 (1971) 1257\u20131260.","journal-title":"Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences Series A (Paris) Tome"},{"key":"CR9","volume-title":"Solution of Equations in Euclidean and Banach Spaces","author":"A.M. Ostrowski","year":"1973","unstructured":"A.M. Ostrowski,Solution of Equations in Euclidean and Banach Spaces (Academic Press, New York, New York, 1973)."},{"key":"CR10","series-title":"Applied Mathematics Series","volume-title":"Simultaneous Linear Equations and the Determination of Eigenvalues","author":"L.J. Paige","year":"1953","unstructured":"L.J. Paige and O. Taussky, eds.,Simultaneous Linear Equations and the Determination of Eigenvalues (National Bureau of Standards, Applied Mathematics Series, No. 29, Washington, 1953)."},{"key":"CR11","volume-title":"Computational Methods in Optimization: A Unified Approach","author":"E. Polak","year":"1971","unstructured":"E. Polak,Computational Methods in Optimization: A Unified Approach (Academic Press, New York, 1971)."},{"key":"CR12","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF01584660","volume":"4","author":"M.J.D. Powell","year":"1973","unstructured":"M.J.D. Powell, \u201cOn search directions for minimization algorithms,\u201dMathematical Programming 4 (1973) 193\u2013201.","journal-title":"Mathematical Programming"},{"key":"CR13","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1002\/cpa.3160120208","volume":"12","author":"S. Schechter","year":"1959","unstructured":"S. Schechter, \u201cRelaxation methods for linear equations,\u201dCommunications on Pure and Applied Mathematics 12 (1959) 313\u2013335.","journal-title":"Communications on Pure and Applied Mathematics"},{"key":"CR14","first-page":"177","volume-title":"Integer and Nonlinear Programming","author":"S. Schechter","year":"1970","unstructured":"S. Schechter, \u201cMinimization of a convex function by relaxation,\u201d in: J. Abadie, ed.,Integer and Nonlinear Programming, (North-Holland, Amsterdam, 1970) pp. 177\u2013189."},{"key":"CR15","volume-title":"Relaxation Methods in Engineering Science, A Treatise on Approximate Computation","author":"R.V. Southwell","year":"1943","unstructured":"R.V. Southwell,Relaxation Methods in Engineering Science, A Treatise on Approximate Computation (Oxford University Press, Amen House, London, 1943)."},{"key":"CR16","volume-title":"Relaxation Methods in Theoretical Physics, A Continuation of the Treatise Relaxation Methods in Engineering Science","author":"R.V. Southwell","year":"1946","unstructured":"R.V. Southwell,Relaxation Methods in Theoretical Physics, A Continuation of the Treatise Relaxation Methods in Engineering Science (Oxford University Press, Amen House, London, 1946)."},{"key":"CR17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1287\/mnsc.16.1.1","volume":"16","author":"W.I. Zangwill","year":"1969","unstructured":"W.I. Zangwill, \u201cConvergence conditions for nonlinear programming algorithms,\u201dManagement Science 16 (1969) 1\u201313.","journal-title":"Management Science"},{"key":"CR18","volume-title":"Nonlinear Programming: A Unified Approach","author":"W.I. Zangwill","year":"1969","unstructured":"W.I. Zangwill,Nonlinear Programming: A Unified Approach (Prentice Hall, Englewood Cliffs, NJ, 1969)."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01580731.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01580731\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01580731","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,3]],"date-time":"2019-05-03T11:12:11Z","timestamp":1556881931000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01580731"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988,1]]},"references-count":18,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1988,1]]}},"alternative-id":["BF01580731"],"URL":"https:\/\/doi.org\/10.1007\/bf01580731","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1988,1]]}}}