{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T03:47:10Z","timestamp":1648957630847},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1976,9,1]],"date-time":"1976-09-01T00:00:00Z","timestamp":210384000000},"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":[[1976,9]]},"DOI":"10.1007\/bf02259646","type":"journal-article","created":{"date-parts":[[2005,11,23]],"date-time":"2005-11-23T09:19:14Z","timestamp":1132737554000},"page":"207-218","source":"Crossref","is-referenced-by-count":1,"title":["Ein Verfahren zur Behandlung von Ausgleichsaufgaben mit Intervallkoeffizienten"],"prefix":"10.1007","volume":"17","author":[{"given":"P.","family":"Spellucci","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N.","family":"Krier","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02259646_CR1","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1007\/BF02241730","volume":"6","author":"G. Alefeld","year":"1970","unstructured":"Alefeld, G., Herzberger, J.: ALGOL60-Algorithmen zur Aufl\u00f6sung linearer Gleichungssysteme mit Fehlererfassung. Computing6, 28\u201334 (1970).","journal-title":"Computing"},{"key":"BF02259646_CR2","unstructured":"Beeck, H.: \u00dcber intervallanalytische Methoden bei linearen Gleichungssystemen und Zusammenh\u00e4nge mit der Fehleranalysis, Diss., TU M\u00fcnchen, 1971."},{"key":"BF02259646_CR3","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":"BF02259646_CR4","unstructured":"Beeck, H.: Zur scharfen Au\u00dfenabsch\u00e4tzung der L\u00f6sungsmenge bei linearen Intervallgleichungssystemen. (Erscheint in ZAMM.)"},{"key":"BF02259646_CR5","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/BF01939321","volume":"7","author":"\u00c5. Bj\u00f6rck","year":"1967","unstructured":"Bj\u00f6rck, \u00c5.: Iterative Refinement of Linear Least Squares Solutions I. BIT7, 257\u2013278 (1967).","journal-title":"BIT"},{"key":"BF02259646_CR6","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1007\/BF01939974","volume":"8","author":"\u00c5. Bj\u00f6rck","year":"1968","unstructured":"Bj\u00f6rck, \u00c5.: Iterative Refinement of Linear Least Squares Solutions II. BIT8, 8\u201330 (1968).","journal-title":"BIT"},{"key":"BF02259646_CR7","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1007\/BF01436084","volume":"7","author":"P. Businger","year":"1965","unstructured":"Businger, P., Golub, G. H.: Linear Least Squares Solutions by Householder Transformations. Num. Math.7, 269\u2013276 (1965).","journal-title":"Num. Math."},{"key":"BF02259646_CR8","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/0024-3795(69)90024-X","volume":"2","author":"E. Hansen","year":"1969","unstructured":"Hansen, E.: On the Solution of Linear Algebraic Equations with Interval Coefficients. Linear Algebra and its Applications2, 153\u2013169 (1969).","journal-title":"Linear Algebra and its Applications"},{"key":"BF02259646_CR9","first-page":"308","volume":"1","author":"E. Hansen","year":"1965","unstructured":"Hansen, E.: Interval Arithmetic in Matrix Computation. SIAM J. Numer. Anal.1, 308\u2013320 (1965).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02259646_CR10","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/BF02234767","volume":"4","author":"R. Krawczyk","year":"1969","unstructured":"Krawczyk, R.: Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken. Computing4, 187\u2013201 (1969).","journal-title":"Computing"},{"key":"BF02259646_CR11","first-page":"T69","volume":"46","author":"F. Kr\u00fcckeberg","year":"1967","unstructured":"Kr\u00fcckeberg, F.: Inversion von Matrizen mit Fehlererfassung. ZAMM46, T69 (1967).","journal-title":"ZAMM"},{"key":"BF02259646_CR12","first-page":"51","volume-title":"\u00dcberblicke Mathematik2","author":"U. Kulisch","year":"1969","unstructured":"Kulisch, U.: Grundz\u00fcge der Intervallrechnung. In: \u00dcberblicke Mathematik2, 51\u201398. Mannheim: Bibliographisches Institut 1969."},{"key":"BF02259646_CR13","volume-title":"Interval Analysis","author":"R. E. Moore","year":"1966","unstructured":"Moore, R. E.: Interval Analysis. Englewood Cliffs, N. J.: Prentice-Hall 1966."},{"key":"BF02259646_CR14","first-page":"25","volume-title":"Topics in Interval Analysis","author":"K. Nickel","year":"1969","unstructured":"Nickel, K.: TRIPLEX-ALGOL and Applications. Topics in Interval Analysis (Hansen, E., Hrsg.), S. 25\u201334. London-New York-Toronto: Oxford University Press 1969."},{"key":"BF02259646_CR15","first-page":"115","volume":"2","author":"W. Oettli","year":"1965","unstructured":"Oettli, W.: On the Solution Set of a Linear System with Inaccurate Coefficients. SIAM J. Numer. Anal.2, 115\u2013118 (1965).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02259646_CR16","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1007\/BF01386090","volume":"6","author":"W. Oettli","year":"1964","unstructured":"Oettli, W., Prager, W.: Compatibility of Approximate Solution of Linear Equations with Given Error Bounds for Coefficients and Right Hand Sides. Num. Math.6, 405\u2013409 (1964).","journal-title":"Num. Math."},{"key":"BF02259646_CR17","first-page":"291","volume":"2","author":"W. Oettli","year":"1965","unstructured":"Oettli, W., Prager, W., Wilkinson, J. H.: Admissible Solutions of Linear Systems with not Sharply Defined Coefficients. SIAM J. Numer. Anal.2, 291\u2013299 (1965).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02259646_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1007\/3-540-07170-9_29","volume-title":"Interval Mathematics","author":"P. Spellucci","year":"1975","unstructured":"Spellucci, P., Krier, N.: Untersuchungen der Grenzgenauigkeit von Algorithmen zur Aufl\u00f6sung linearer Gleichungssysteme mit Fehlererfassung. In: Interval Mathematics (Lecture Notes in Computer Science, 29, S. 288\u2013297). Berlin-Heidelberg-New York: Springer 1975."},{"key":"BF02259646_CR19","volume-title":"Rounding Errors in Algebraic Processes","author":"J. H. Wilkinson","year":"1963","unstructured":"Wilkinson, J. H.: Rounding Errors in Algebraic Processes. London: HSMO 1963."},{"key":"BF02259646_CR20","doi-asserted-by":"crossref","first-page":"T79","DOI":"10.1002\/zamm.19700500136","volume":"50","author":"P. Wisskirchen","year":"1970","unstructured":"Wisskirchen, P.: Ber\u00fccksichtigung von Monotonieverh\u00e4ltnissen bei der intervallarithmetischen Behandlung linearer Gleichungssysteme. ZAMM50, T79-T80 (1970).","journal-title":"ZAMM"},{"key":"BF02259646_CR21","volume-title":"Praktische Mathematik","author":"R. Zurm\u00fchl","year":"1965","unstructured":"Zurm\u00fchl, R.: Praktische Mathematik, 5. Aufl. Berlin-Heidelberg-New York: Springer 1965.","edition":"5. Aufl"}],"container-title":["Computing"],"original-title":[],"language":"de","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02259646.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02259646\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02259646","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T15:08:11Z","timestamp":1558019291000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02259646"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1976,9]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1976,9]]}},"alternative-id":["BF02259646"],"URL":"https:\/\/doi.org\/10.1007\/bf02259646","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1976,9]]}}}