{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T09:26:42Z","timestamp":1751880402279},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1981,12,1]],"date-time":"1981-12-01T00:00:00Z","timestamp":376012800000},"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":[[1981,12]]},"DOI":"10.1007\/bf02237952","type":"journal-article","created":{"date-parts":[[2005,11,15]],"date-time":"2005-11-15T01:06:56Z","timestamp":1132016816000},"page":"333-342","source":"Crossref","is-referenced-by-count":30,"title":["On the R-order of coupled sequences"],"prefix":"10.1007","volume":"26","author":[{"given":"J. W.","family":"Schmidt","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02237952_CR1","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1002\/zamm.19540340803","volume":"34","author":"K. H. Bachmann","year":"1954","unstructured":"Bachmann, K. H.: Der Konvergenzgrad bei iterativer L\u00f6sung von Gleichungen. Z. Angew. Math. Mech.34, 282\u2013283 (1954).","journal-title":"Z. Angew. Math. Mech."},{"key":"BF02237952_CR2","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/BF02293107","volume":"12","author":"J. Herzberger","year":"1974","unstructured":"Herzberger, J.: \u00dcber Matrixdarstellungen f\u00fcr Iterationsverfahren bei nichtlinearen Gleichungen. Computing12, 215\u2013222 (1974).","journal-title":"Computing"},{"key":"BF02237952_CR3","unstructured":"He\u00df, W.: Private communication, 1980."},{"key":"BF02237952_CR4","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1147\/rd.133.0297","volume":"13","author":"W. L. Miranker","year":"1969","unstructured":"Miranker, W. L.: Parallel methods for approximating the root of a function. IBM J. Res. Develop.13, 297\u2013301 (1969).","journal-title":"IBM J. Res. Develop."},{"key":"BF02237952_CR5","unstructured":"Nauber, W.: Implementierbare Fehlerabsch\u00e4tzungen durch monotone Einschlie\u00dfung. Manuscript, TU Dresden, 1979."},{"key":"BF02237952_CR6","volume-title":"Iterative solution of nonlinear equations in several variables","author":"J. W. Ortega","year":"1970","unstructured":"Ortega, J. W., Rheinboldt, W. C.: Iterative solution of nonlinear equations in several variables. New York-London: Academic Press 1970."},{"key":"BF02237952_CR7","first-page":"639","volume":"25","author":"J. R. Rice","year":"1971","unstructured":"Rice, J. R.: Matrix representations of nonlinear equation iterations. Math. Comp.25, 639\u2013647 (1971).","journal-title":"Math. Comp."},{"key":"BF02237952_CR8","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1002\/zamm.19630430302","volume":"43","author":"J. W. Schmidt","year":"1963","unstructured":"Schmidt, J. W.: Eine \u00dcbertragung der Regula falsi auf Gleichungen im Banachraum, II. Z. Angew. Math. Mech.43, 97\u2013110 (1963).","journal-title":"Z. Angew. Math. Mech."},{"key":"BF02237952_CR9","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1007\/BF02234103","volume":"8","author":"J. W. Schmidt","year":"1971","unstructured":"Schmidt, J. W.: Eingrenzung von L\u00f6sungen nichtlinearer Gleichungen durch Verfahren mit h\u00f6herer Konvergenzgeschwindigkeit. Computing8, 208\u2013215 (1971).","journal-title":"Computing"},{"key":"BF02237952_CR10","volume-title":"Numerische L\u00f6sung nichtlinearer Gleichungen","author":"H. Schwetlick","year":"1979","unstructured":"Schwetlick, H.: Numerische L\u00f6sung nichtlinearer Gleichungen. Berlin: Deutscher Verlag der Wissenschaften 1979."},{"key":"BF02237952_CR11","first-page":"403","volume":"16","author":"S. Ulm","year":"1967","unstructured":"Ulm, S.: \u00dcber Iterationsverfahren mit sukzessiver Approximation des inversen Operators (russ.). Izv. Akad. Nauk Est. SSR16, 403\u2013411 (1967).","journal-title":"Izv. Akad. Nauk Est. SSR"},{"key":"BF02237952_CR12","volume-title":"Matrix iterative analysis","author":"R. S. Varga","year":"1962","unstructured":"Varga, R. S.: Matrix iterative analysis. Englewood Cliffs, N. J.: Prentice-Hall 1962."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02237952.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02237952\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02237952","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,15]],"date-time":"2019-05-15T17:02:22Z","timestamp":1557939742000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02237952"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981,12]]},"references-count":12,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1981,12]]}},"alternative-id":["BF02237952"],"URL":"https:\/\/doi.org\/10.1007\/bf02237952","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1981,12]]}}}