{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:19:55Z","timestamp":1760782795475},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1970,6,1]],"date-time":"1970-06-01T00:00:00Z","timestamp":13046400000},"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":[[1970,6]]},"DOI":"10.1007\/bf02235804","type":"journal-article","created":{"date-parts":[[2005,10,21]],"date-time":"2005-10-21T05:18:46Z","timestamp":1129871926000},"page":"144-162","source":"Crossref","is-referenced-by-count":51,"title":["Algebraische und metrische Strukturen in der Intervallrechnung und einige Anwendungen"],"prefix":"10.1007","volume":"5","author":[{"given":"O.","family":"Mayer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02235804_CR1","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/BF02239180","volume":"2","author":"N. Apostolatos","year":"1967","unstructured":"Apostolatos, N., undU. Kulisch: Grundlagen einer Maschinenintervallarithmetik. Comp.2, 89\u2013104 (1967).","journal-title":"Comp."},{"key":"BF02235804_CR2","first-page":"73","volume":"10","author":"N. Apostolatos","year":"1968","unstructured":"Apostolatos, N., undU. Kulisch: Grundz\u00fcge einer Intervallrechnung f\u00fcr Matrizen und einige Anwendungen. Elektr. Rechenanlagen10, 73\u201383 (1968).","journal-title":"Elektr. Rechenanlagen"},{"key":"BF02235804_CR3","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/BF02235509","volume":"2","author":"N. Apostolatos","year":"1967","unstructured":"Apostolatos, N., undU. Kulisch: \u00dcber die Konvergenz des Relaxationsverfahrens bei nicht-negativen und diagonaldominanten Matrizen. Comp.2, 17\u201324 (1967).","journal-title":"Comp."},{"key":"BF02235804_CR4","volume-title":"The Theory of Matrices in Numerical Analysis","author":"A. S. Householder","year":"1964","unstructured":"Householder, A. S.: The Theory of Matrices in Numerical Analysis. New York-Toronto-London: Blaisdell Publishing Company. 1964."},{"key":"BF02235804_CR5","first-page":"51","volume-title":"Grundz\u00fcge der Intervallrechnung, \u00dcberblicke, Mathematik","author":"U. Kulisch","year":"1969","unstructured":"Kulisch, U.: Grundz\u00fcge der Intervallrechnung, \u00dcberblicke, Mathematik2, 51\u201398. Mannheim: Bibliographisches Institut. 1969."},{"key":"BF02235804_CR6","volume-title":"Intervall Analysis","author":"R. E. Moore","year":"1966","unstructured":"Moore, R. E.: Intervall Analysis. Englewood Cliffs, New Jersey: Prentice Hall, Inc. 1966."},{"key":"BF02235804_CR7","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/BF02165231","volume":"9","author":"K. Nickel","year":"1966","unstructured":"Nickel, K.: \u00dcber die Notwendigkeit einer Fehlerschrankenarithmetik f\u00fcr Rechenautomaten. Numerische Mathematik9, 69\u201379 (1966).","journal-title":"Numerische Mathematik"},{"key":"BF02235804_CR8","unstructured":"Nickel, K.: Error-bounds and Computer-arithmetic. Vortrag IFIP Congress Edinburgh. 1968."},{"key":"BF02235804_CR9","unstructured":"Sch\u00e4fer, H. H.: Topological Vector Spaces. Macmillan Series in Advanced Mathematics and Theoretical Physics. 1966."},{"key":"BF02235804_CR10","volume-title":"Matrix Iterative Analysis","author":"R. S. Varga","year":"1962","unstructured":"Varga, R. S.: Matrix Iterative Analysis. Englewood Cliffs, New Jersey: Prentice-Hall, Inc. 1962."},{"key":"BF02235804_CR11","first-page":"224","volume":"9","author":"H. W. Wippermann","year":"1967","unstructured":"Wippermann, H. W.: Reallsierung einer Intervallarithmetik in einem ALGOL-60-System. Elektronische Rechenanlagen9, 224\u2013233 (1967).","journal-title":"Elektronische Rechenanlagen"},{"key":"BF02235804_CR12","volume-title":"Einf\u00fchrung in die Funktionalanalysis","author":"B. S. Wulich","year":"1961","unstructured":"Wulich, B. S.: Einf\u00fchrung in die Funktionalanalysis. Leipzig: Teubner-Verlag. 1961."},{"key":"BF02235804_CR13","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/BF01457934","volume":"104","author":"R. C. Young","year":"1931","unstructured":"Young, R. C.: The Algebra of Many-valued Quantities. Mathematische Annalen,104, 261\u2013290 (1931).","journal-title":"Mathematische Annalen"}],"container-title":["Computing"],"original-title":[],"language":"de","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02235804.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02235804\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02235804","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,15]],"date-time":"2019-05-15T16:45:48Z","timestamp":1557938748000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02235804"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1970,6]]},"references-count":13,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1970,6]]}},"alternative-id":["BF02235804"],"URL":"https:\/\/doi.org\/10.1007\/bf02235804","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1970,6]]}}}