{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T18:34:03Z","timestamp":1781202843920,"version":"3.54.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1983,10,1]],"date-time":"1983-10-01T00:00:00Z","timestamp":433814400000},"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":[[1983,10]]},"DOI":"10.1007\/bf02591907","type":"journal-article","created":{"date-parts":[[2007,3,29]],"date-time":"2007-03-29T15:37:51Z","timestamp":1175182671000},"page":"320-341","source":"Crossref","is-referenced-by-count":133,"title":["An aggregate subgradient method for nonsmooth convex minimization"],"prefix":"10.1007","volume":"27","author":[{"given":"Krzysztof Czes\u0142aw","family":"Kiwiel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"BF02591907_CR1","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1137\/1019005","volume":"19","author":"J.E. Dennis Jr.","year":"1977","unstructured":"J.E. Dennis, Jr. and J.J. Mor\u00e9, \u201cQuasi-Newton methods, motivation and theory\u201d,SIAM Review 19 (1977) 46\u201389.","journal-title":"SIAM Review"},{"key":"BF02591907_CR2","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1137\/0108053","volume":"8","author":"J.E. Kelley","year":"1960","unstructured":"J.E. Kelley, \u201cThe cutting-plane method for solving convex programs\u201d,Journal of the Society for Industrial and Applied Mathematics 8 (1960) 703\u2013712.","journal-title":"Journal of the Society for Industrial and Applied Mathematics"},{"key":"BF02591907_CR3","series-title":"CP-81-23","volume-title":"A variable metric method of centres for nonsmooth minimization","author":"K.C. Kiwiel","year":"1981","unstructured":"K.C. Kiwiel, \u201cA variable metric method of centres for nonsmooth minimization\u201d, CP-81-23, International Institute for Applied Systems Analysis (Laxenburg, Austria, June, 1981)."},{"key":"BF02591907_CR4","volume-title":"Efficient algorithms for nonsmooth optimization and their applications","author":"K.C. Kiwiel","year":"1982","unstructured":"K.C. Kiwiel, \u201cEfficient algorithms for nonsmooth optimization and their applications\u201d, Ph.D. thesis, Dept. of Electronics, Technical University of Warsaw (Warsaw, Poland, 1982)."},{"key":"BF02591907_CR5","volume-title":"Optimization theory for large systems","author":"L.S. Lasdon","year":"1970","unstructured":"L.S. Lasdon, \u201cOptimization theory for large systems\u201d (Macmillan, New York, 1970)."},{"key":"BF02591907_CR6","unstructured":"C. Lemarechal, \u201cAn extension of Davidon methods to nondifferentiable problems,\u201d in: M.L. Balinski and P. Wolfe, eds., \u201cNondifferentiable optimization\u201d,Mathematical Programming Study 3 (1975) 95\u2013109."},{"key":"BF02591907_CR7","series-title":"RR-78-4","volume-title":"Nonsmooth optimization and descent methods","author":"C. Lemarechal","year":"1978","unstructured":"C. Lemarechal, \u201cNonsmooth optimization and descent methods\u201d, RR-78-4, International Institute for Applied Systems Analysis (Laxenburg, Austria, March, 1978)."},{"key":"BF02591907_CR8","volume-title":"Nonsmooth optimization","author":"C. Lemarechal","year":"1978","unstructured":"C. Lemarechal and R. Mifflin, eds., \u201cNonsmooth optimization\u201d (Pergamon Press, Oxford, 1978)."},{"key":"BF02591907_CR9","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1287\/opre.23.3.389","volume":"23","author":"R.E. Marsten","year":"1975","unstructured":"R.E. Marsten, W.W. Hogan and J.W. Blankenship, \u201cThe boxstep method for large scale optimization\u201d,Operations Research 23 (1975) 389\u2013405.","journal-title":"Operations Research"},{"key":"BF02591907_CR10","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1287\/moor.2.2.191","volume":"2","author":"R. Mifflin","year":"1977","unstructured":"R. Mifflin, \u201cAn algorithm for constrained optimization with semismooth functions\u201dMathematics of Operations Research 2 (1977) 191\u2013207.","journal-title":"Mathematics of Operations Research"},{"key":"BF02591907_CR11","doi-asserted-by":"crossref","unstructured":"R. Mifflin, \u201cA modification and an extension of Lemarechal's algorithm for nonsmooth minimization,\u201d in: D.C. Sorensen and R.J.-B. Wets, eds., \u201cNondifferential and variational techniques in optimization\u201d,Mathematical Programming Study 17 (1982) 77\u201390.","DOI":"10.1007\/BFb0120960"},{"key":"BF02591907_CR12","volume-title":"Convex analysis and extremal problems","author":"B.N. Pshenichnyi","year":"1980","unstructured":"B.N. Pshenichnyi, \u201cConvex analysis and extremal problems\u201d (in Russian) (Nauka, Moscow, 1980)."},{"key":"BF02591907_CR13","volume-title":"Nonsmooth optimization","author":"B.N. Pshenichnyi","year":"1978","unstructured":"B.N. Pshenichnyi, \u201cNonsmooth optimization and nonlinear programming\u201d in: C. Lemarechal and R. Mifflin, eds., \u201cNonsmooth optimization\u201d (Pergamon Press, Oxford, 1978)."},{"key":"BF02591907_CR14","series-title":"WP-78-63","volume-title":"Lagrangian functions and nondifferentiable optimization","author":"A.P. Wierzbicki","year":"1978","unstructured":"A.P. Wierzbicki, \u201cLagrangian functions and nondifferentiable optimization\u201d, WP-78-63, International Institute for Applied Systems Analysis (Laxenburg, Austria, December, 1978)."},{"key":"BF02591907_CR15","doi-asserted-by":"crossref","unstructured":"P. Wolfe, \u201cA method of conjugate subgradients for minimizing nondifferentiable functions\u201d, in: M. Balinski and P. Wolfe, eds., \u201cNondifferentiable optimization\u201d,Mathematical Programming Study 3 (1975) 145\u2013173.","DOI":"10.1007\/BFb0120703"},{"key":"BF02591907_CR16","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1007\/BF01580381","volume":"11","author":"P. Wolfe","year":"1976","unstructured":"P. Wolfe, \u201cFinding a nearest point in a polytope\u201d,Mathematical Programming 11 (1976) 128\u2013149.","journal-title":"Mathematical Programming"},{"key":"BF02591907_CR17","volume-title":"Nonsmooth optimization","author":"P. Wolfe","year":"1978","unstructured":"P. Wolfe, \u201cSufficient minimization of piecewise-linear univariate functions\u201d, in: C. Lemarechal and R. Mifflin, eds., \u201cNonsmooth optimization\u201d (Pergamon Press, Oxford, 1978)."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02591907.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02591907\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02591907","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T23:37:50Z","timestamp":1558395470000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02591907"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1983,10]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1983,10]]}},"alternative-id":["BF02591907"],"URL":"https:\/\/doi.org\/10.1007\/bf02591907","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1983,10]]}}}