{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T23:29:21Z","timestamp":1648682961085},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1991,3,1]],"date-time":"1991-03-01T00:00:00Z","timestamp":667785600000},"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":[[1991,3]]},"DOI":"10.1007\/bf02242018","type":"journal-article","created":{"date-parts":[[2005,11,15]],"date-time":"2005-11-15T01:22:32Z","timestamp":1132017752000},"page":"1-9","source":"Crossref","is-referenced-by-count":3,"title":["A geometric approach for computing a posteriori error bounds for the solution of a linear system"],"prefix":"10.1007","volume":"47","author":[{"given":"C.","family":"Jansson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02242018_CR1","unstructured":"Alefeld, G., Herzberger, J.: Introduction to interval computations. Academic Press 1983."},{"key":"BF02242018_CR2","series-title":"Mathematisch-Naturwissenschaftliche Bibliothek","volume-title":"Intervallmathematik, Theorie und Anwendungen","author":"H. Bauch","year":"1987","unstructured":"Bauch, H., Jahn, K.-U., Oelschl\u00e4gel, D., S\u00fcsse, H., Wiebigke, VI: Intervallmathematik, Theorie und Anwendungen, Mathematisch-Naturwissenschaftliche Bibliothek, Band 72, Leipzig: B. G. Teubner, 1987."},{"key":"BF02242018_CR3","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, Computing,4, 187\u2013201 (1969).","journal-title":"Computing"},{"key":"BF02242018_CR4","doi-asserted-by":"crossref","unstructured":"Kulisch, U. W.: Computer arithmetic in theory and practice. Academic Press 1981.","DOI":"10.1016\/B978-0-12-428650-4.50009-9"},{"key":"BF02242018_CR5","unstructured":"McMullan, P., Sheppard, G. C.: Convex polytopes and the upper bound conjecture. Cambridge 1971."},{"key":"BF02242018_CR6","doi-asserted-by":"crossref","unstructured":"Moore, R. E.: Methods and applications of interval analysis. SIAM Philadelphia 1979.","DOI":"10.1137\/1.9781611970906"},{"key":"BF02242018_CR7","volume-title":"Interval methods for systems of equations","author":"A. Neumaier","year":"1990","unstructured":"Neumaier, A.: Interval methods for systems of equations. Cambridge: University Press 1990."},{"key":"BF02242018_CR8","doi-asserted-by":"crossref","unstructured":"Rump, S. M.: Solving algebraic problems with high accuracy, Habilitationsschrift in: Kulisch Miranker (eds.) A new approach to scientific computation. Academic Press 1983.","DOI":"10.1016\/B978-0-12-428660-3.50010-0"},{"key":"BF02242018_CR9","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/0024-3795(91)90355-Z","volume":"151","author":"S. M. Rump","year":"1991","unstructured":"Rump, S. M.: Estimation of the sensitivity of linear and nonlinear algebraic problems. Linear Algebra and its Applications151, 85\u2013109 (1991).","journal-title":"Linear Algebra and its Applications"},{"key":"BF02242018_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-46216-0","volume-title":"Convexity and optimization in finite dimensions I","author":"J. Stoer","year":"1970","unstructured":"Stoer, J., Wilzgall, G.: Convexity and optimization in finite dimensions I. Berlin Heidelberg New York Tokyo: Springer 1970."},{"key":"BF02242018_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-06862-5","volume-title":"Einf\u00fchrung in die Numerische Mathematik I","author":"J. Stoer","year":"1983","unstructured":"Stoer, J.: Einf\u00fchrung in die Numerische Mathematik I, 4. Aufl., Berlin Heidelberg New York Tokyo: Springer 1983.","edition":"4. Aufl."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02242018.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02242018\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02242018","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T22:08:17Z","timestamp":1586556497000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02242018"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,3]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1991,3]]}},"alternative-id":["BF02242018"],"URL":"https:\/\/doi.org\/10.1007\/bf02242018","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,3]]}}}