{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,26]],"date-time":"2026-06-26T21:12:50Z","timestamp":1782508370135,"version":"3.54.5"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[1980,6,1]],"date-time":"1980-06-01T00:00:00Z","timestamp":328665600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1980,6]]},"DOI":"10.1007\/bf02281726","type":"journal-article","created":{"date-parts":[[2006,1,25]],"date-time":"2006-01-25T17:47:35Z","timestamp":1138211255000},"page":"213-225","source":"Crossref","is-referenced-by-count":7,"title":["Interval analytic treatment of convex programming problems","Intervallanalytische Behandlung konvexer Optimierungsaufgaben"],"prefix":"10.1007","volume":"24","author":[{"given":"D.","family":"Oelschl\u00e4gel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"H.","family":"S\u00fc\u00dfe","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"BF02281726_CR1","volume-title":"Einf\u00fchrung in die Intervallrechnung","author":"G. Alefeld","year":"1974","unstructured":"Alefeld, G., Herzberger, J.: Einf\u00fchrung in die Intervallrechnung. Mannheim: Bibliographisches Institut 1974."},{"key":"BF02281726_CR2","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1002\/zamm.19740540507","volume":"54","author":"G. Alefeld","year":"1974","unstructured":"Alefeld, G.: Quadratisch konvergente Einschlie\u00dfung von L\u00f6sungen nichtkonvexer Gleichungssysteme. ZAMM54, 335\u2013342 (1974).","journal-title":"ZAMM"},{"key":"BF02281726_CR3","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/BF02260368","volume":"12","author":"W. Barth","year":"1974","unstructured":"Barth, W., Nuding, E.: Optimale L\u00f6sung von Intervallgleichungssystemen. Computing12, 117\u2013125 (1974).","journal-title":"Computing"},{"key":"BF02281726_CR4","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/BF02316910","volume":"10","author":"H. Beeck","year":"1972","unstructured":"Beeck, H.: \u00dcber Struktur und Absch\u00e4tzungen der L\u00f6sungsmenge von linearen Gleichungssystemen mit Intervallkoeffizienten. Computing10, 231\u2013244 (1972).","journal-title":"Computing"},{"key":"BF02281726_CR5","unstructured":"Beeck, H.: Linear programming with inexact data. Bericht Nr. 7830 der Abteilung Mathematik, TU M\u00fcnchen, 1978."},{"key":"BF02281726_CR6","unstructured":"Beeck, H.: Schwankungsbereiche linearer Optimierungsaufgaben. (To appear in: Oper. Res. Verf.)"},{"key":"BF02281726_CR7","unstructured":"Bruns, P.: Fehlerabsch\u00e4tzungen und Stetigkeitsuntersuchungen bei konvexen Optimierungsaufgaben. Dissertation, Hamburg, 1972."},{"key":"BF02281726_CR8","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/BF01580110","volume":"5","author":"J. W. Daniel","year":"1973","unstructured":"Daniel, J. W.: Stability of the solution of definit quadratic programs. Math. programming5, 41\u201353 (1973).","journal-title":"Math. programming"},{"key":"BF02281726_CR9","doi-asserted-by":"crossref","unstructured":"Dussel, R.: Einschlie\u00dfung des Minimalpunktes einer streng konvexen Funktion auf einemn-dimensionalen Quader. Dissertation, Karlsruhe, 1972.","DOI":"10.1002\/zamm.19730531294"},{"key":"BF02281726_CR10","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1287\/opre.18.1.107","volume":"18","author":"J. P. Evans","year":"1970","unstructured":"Evans, J. P., Gould, F. J.: Stability in nonlinear programming. Operations Research18, 107\u2013118 (1970).","journal-title":"Operations Research"},{"key":"BF02281726_CR11","volume-title":"Mathematische Optimierung in allgemeinen Vektorr\u00e4umen","author":"A. G\u00f6pfert","year":"1973","unstructured":"G\u00f6pfert, A.: Mathematische Optimierung in allgemeinen Vektorr\u00e4umen. Leipzig: Teubner. 1973."},{"key":"BF02281726_CR12","first-page":"223","volume":"7","author":"J. Guddat","year":"1976","unstructured":"Guddat, J.: Stability in convex quadratic parametric programming. Math. Op. u. Stat.7, 223\u2013244 (1976).","journal-title":"Math. Op. u. Stat."},{"key":"BF02281726_CR13","first-page":"176","volume":"18","author":"P. Kosmol","year":"1974","unstructured":"Kosmol, P.: Algorithmen zur konvexen Optimierung. Oper. Res. Verf.18, 176\u2013186 (1974).","journal-title":"Oper. Res. Verf."},{"key":"BF02281726_CR14","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1002\/zamm.19720520606","volume":"52","author":"W. Krabs","year":"1972","unstructured":"Krabs, W.: Zur stetigen Abh\u00e4ngigkeit des Extremalwertes eines konvexen Optimierungsproblems von einer stetigen \u00c4nderung des Problems. ZAMM52, 359\u2013368 (1972).","journal-title":"ZAMM"},{"key":"BF02281726_CR15","volume-title":"Lecture Notes in Computer Science, Vol. 29: Interval Mathematics","author":"R. Krawczyk","year":"1975","unstructured":"Krawczyk, R.: Fehlerabsch\u00e4tzung bei linearer Optimierung. In: Lecture Notes in Computer Science, Vol. 29: Interval Mathematics. Berlin-Heidelberg-New York: Springer 1975."},{"key":"BF02281726_CR16","first-page":"367","volume":"8","author":"B. Kummer","year":"1977","unstructured":"Kummer, B.: Global stability of optimization problems, Math. Op. u. Stat., Ser. Op.8, 367\u2013383 (1977).","journal-title":"Math. Op. u. Stat., Ser. Op."},{"key":"BF02281726_CR17","doi-asserted-by":"crossref","unstructured":"K\u00fcnzi, H. P., Krelle, W.: Nichtlineare Programmierung. Berlin-Heidelberg-New York: 1962.","DOI":"10.1007\/978-3-642-96287-5"},{"key":"BF02281726_CR18","unstructured":"Machost, B.: Numerische Behandlung des Simplexverfahrens mit intervallanalytischen Methoden. Berichte der Gesellsch. f. Math. u. Datenverarb. Nr. 30, Bonn 1970."},{"key":"BF02281726_CR19","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1287\/moor.1.1.50","volume":"1","author":"L. J. Mancini","year":"1976","unstructured":"Mancini, L. J., McCormick, G. P.: Bounding global minima. Math. of Oper. Res.1, 50\u201353 (1976).","journal-title":"Math. of Oper. Res."},{"key":"BF02281726_CR20","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1137\/0714040","volume":"14","author":"R. E. Moore","year":"1977","unstructured":"Moore, R. E.: A test for existence of solutions to nonlinear systems. SIAM J. Numer. Anal.14, 611\u2013615 (1977).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02281726_CR21","doi-asserted-by":"crossref","first-page":"1051","DOI":"10.1137\/0714072","volume":"14","author":"R. E. Moore","year":"1977","unstructured":"Moore, R. E., Jones, S. T.: Safe starting regions for iterative methods. SIAM J. Numer. Anal.14, 1051\u20131065 (1977).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02281726_CR22","first-page":"389","volume":"3","author":"D. Oelschl\u00e4gel","year":"1978","unstructured":"Oelschl\u00e4gel, D., S\u00fc\u00dfe, H.: Fehlerabsch\u00e4tzung beim Verfahren von Wolfe zur L\u00f6sung quadratischer Optimierungsaufgaben. Math. Op. u. Stat., Ser. Op., Heft 3, 389\u2013396 (1978).","journal-title":"Math. Op. u. Stat., Ser. Op., Heft"},{"key":"BF02281726_CR23","unstructured":"Oelschl\u00e4gel, D., S\u00fc\u00dfe, H.: Fehlerabsch\u00e4tzung bei einem speziellen quadratischen Optimierungsproblem. (To appear in ZAMM.)"},{"key":"BF02281726_CR24","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1007\/BF01580124","volume":"5","author":"S. M. Robinson","year":"1973","unstructured":"Robinson, S. M.: Computable error bounds for nonlinear programming. Math. programming5, 235\u2013242 (1973).","journal-title":"Math. programming"},{"key":"BF02281726_CR25","volume-title":"Praktische Mathematik","author":"F. Stummel","year":"1971","unstructured":"Stummel, F., Hainer, K.: Praktische Mathematik. Stuttgart: Teubner 1971."},{"key":"BF02281726_CR26","unstructured":"Vajda, S. T.: Mathematical Programming. Addison-Wesley 1961."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02281726.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02281726\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02281726","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,2]],"date-time":"2024-02-02T14:47:50Z","timestamp":1706885270000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02281726"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1980,6]]},"references-count":26,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[1980,6]]}},"alternative-id":["BF02281726"],"URL":"https:\/\/doi.org\/10.1007\/bf02281726","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1980,6]]}}}