{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,5,5]],"date-time":"2023-05-05T05:40:45Z","timestamp":1683265245521},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1966,9,1]],"date-time":"1966-09-01T00:00:00Z","timestamp":-105235200000},"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":[[1966,9]]},"DOI":"10.1007\/bf02234366","type":"journal-article","created":{"date-parts":[[2005,10,21]],"date-time":"2005-10-21T13:35:10Z","timestamp":1129901710000},"page":"233-255","source":"Crossref","is-referenced-by-count":1,"title":["Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung)"],"prefix":"10.1007","volume":"1","author":[{"given":"L.","family":"Collatz","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02234366_CR1","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1007\/BF01386313","volume":"4","author":"J. Albrecht","year":"1962","unstructured":"Albrecht, J.: Fehlerschranken und Konvergenzbeschleunigung bei einer monotonen oder alternierenden Iterationsfolge. Numerische Mathematik4 (1962), 196\u2013208.","journal-title":"Numerische Mathematik"},{"key":"BF02234366_CR2","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/BF00249198","volume":"15","author":"E. Bohl","year":"1964","unstructured":"Bohl, E.: Die Theorie einer Klasse linearer Operatoren und Existenzs\u00e4tze f\u00fcr L\u00f6sungen nichtlinearer Probleme in halbgeordneten Banachr\u00e4umen. Arch. Rat. Mech. Anal.15 (1964), 263\u2013288.","journal-title":"Arch. Rat. Mech. Anal."},{"issue":"Heft 10\/11","key":"BF02234366_CR3","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1002\/zamm.19640441014","volume":"44","author":"E. Bohl","year":"1964","unstructured":"Bohl, E.: \u00dcber eine Satz von J. Schroeder. Z. angew. Math. Mech., ZAMM 44, Heft 10\/11 (1964), 510\u2013511.","journal-title":"Z. angew. Math. Mech., ZAMM"},{"key":"BF02234366_CR4","doi-asserted-by":"crossref","unstructured":"Bohl, E.: Pseudometrische R\u00e4ume und Rieszsche Halbordnungs-Banachr\u00e4ume. Erscheint demn\u00e4chst in Z. angew. Math. Mech.45 (1965).","DOI":"10.1002\/zamm.19660460204"},{"key":"BF02234366_CR5","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1007\/BF01899376","volume":"3","author":"L. Collatz","year":"1952","unstructured":"Collatz, L.: Aufgaben monotoner Art. Arch. Math.3 (1952), 366\u2013376.","journal-title":"Arch. Math."},{"key":"BF02234366_CR6","doi-asserted-by":"crossref","unstructured":"Collatz, L.: Funktionalanalysis und Numerische Mathematik. Springer 1964, 371 S.","DOI":"10.1007\/978-3-642-53372-3"},{"key":"BF02234366_CR7","unstructured":"Collatz, L.: Tschebyscheffsche Approximation, Randwertaufgaben und Optimierungsaufgaben. Vortrag Weimar 1. 7. 1965, erscheint in den dortigen Vortragsberichten."},{"key":"BF02234366_CR8","unstructured":"Collatz, L.: Monotonie bei gew\u00f6hnlichen Differentialgleichungen 4. Ordnung. Vortrag Oberwolfach 16. 11. 1965, erscheint in Vortragsberichten, Birkh\u00e4user-Verlag."},{"key":"BF02234366_CR9","unstructured":"Forsythe, G. E. andW. R. Wasow: Finite difference methods for partial differential equations. New York-London 1960, 444 S."},{"key":"BF02234366_CR10","unstructured":"Hadeler, K. P.: Einschlie\u00dfungss\u00e4tze bei normalen und positiven Operatoren. Arch. Rat. Mech. Anal. Erscheint demn\u00e4chst."},{"key":"BF02234366_CR11","unstructured":"Hadeler, K. P.: Monotonieabh\u00e4ngigkeit bei Eigenwertaufgaben mit nichtlinear auftretenden Parametern. Erscheint demn\u00e4chst."},{"key":"BF02234366_CR12","unstructured":"Kantorowitsch, L. W., undG. R. Akilow: Funktionalanalysis in normierten R\u00e4umen (russisch). Moskau 1959, 684 S."},{"key":"BF02234366_CR13","doi-asserted-by":"crossref","unstructured":"K\u00fcnzi, H. P. undW. Krelle: Nichtlineare Programmierung, Springer 1962, 221 S.","DOI":"10.1007\/978-3-642-96287-5"},{"key":"BF02234366_CR14","unstructured":"Ljusternik, L. A. undW. I. Sobolew: Elemente der Funktionalanalysis. Berlin 1955, 256 S."},{"key":"BF02234366_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0002-9904-1964-11015-6","volume":"70","author":"Ch. L\u00f6wner","year":"1964","unstructured":"L\u00f6wner, Ch.: On Semigroups in Analysis and Geometry. Bull. Amer. Math. Soc.70 (1964), 1\u201315.","journal-title":"Bull. Amer. Math. Soc."},{"key":"BF02234366_CR16","doi-asserted-by":"crossref","unstructured":"Neumark, M. A.: Lineare Differentialoperatoren, Berlin 1960, 394. S.","DOI":"10.1515\/9783112651124"},{"key":"BF02234366_CR17","doi-asserted-by":"crossref","unstructured":"Nicolovius, R.: Das Extrapolationsverfahren von J. Albrecht f\u00fcr nichtlineare Aufgaben. Z. angew. Math. Mech. 1965, erscheint im Tagungsheft.","DOI":"10.1002\/zamm.19650459031"},{"key":"BF02234366_CR18","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1007\/BF01418876","volume":"66","author":"R. M. Redheffer","year":"1962","unstructured":"Redheffer, R. M.: An Extension of Certain Maximum Principles. Mh. Math. Phys.66 (1962), 32\u201342.","journal-title":"Mh. Math. Phys."},{"key":"BF02234366_CR19","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1007\/BF00250702","volume":"14","author":"R. M. Redheffer","year":"1963","unstructured":"Redheffer, R. M.: Die Collatzsche Monotonie bei Anfangswertproblemen. Arch. Rat. Mech. Anal.14 (1963), 196\u2013212.","journal-title":"Arch. Rat. Mech. Anal."},{"key":"BF02234366_CR20","unstructured":"Riesz, R. undB. Sz. Nagy: Vorlesungen \u00fcber Funktionsanalysis. Berlin 1956, 481 S."},{"key":"BF02234366_CR21","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1007\/BF01186599","volume":"66","author":"J. Schr\u00f6der","year":"1956","unstructured":"Schr\u00f6der, J.: Das Iterationsverfahren bei allgemeinerem Abstandsbegriff. Math. Z.66 (1956), 111\u2013116.","journal-title":"Math. Z."},{"key":"BF02234366_CR22","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF00281386","volume":"4","author":"J. Schr\u00f6der","year":"1960","unstructured":"Schr\u00f6der, J.: Anwendung von Fixpunkts\u00e4tzen bei der numerischen Behandlung nichtlinearer Gleichungen in halbgeordneten R\u00e4umen. Arch. Rat. Mech. Anal.4 (1960), 177\u2013192.","journal-title":"Arch. Rat. Mech. Anal."},{"key":"BF02234366_CR23","unstructured":"Varga, R. S.: Matrix iterative analysis, Prentice-Hall 1962, 322 S."},{"key":"BF02234366_CR24","doi-asserted-by":"crossref","unstructured":"Walter, W.: Differential- und Integral-Ungleichungen, Springer 1964, 269 S.","DOI":"10.1007\/978-3-662-42030-0"}],"container-title":["Computing"],"original-title":[],"language":"de","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02234366.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02234366\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02234366","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,5]],"date-time":"2023-05-05T05:25:11Z","timestamp":1683264311000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02234366"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1966,9]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1966,9]]}},"alternative-id":["BF02234366"],"URL":"https:\/\/doi.org\/10.1007\/bf02234366","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1966,9]]}}}