{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T22:49:56Z","timestamp":1757544596302},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[1988,5,1]],"date-time":"1988-05-01T00:00:00Z","timestamp":578448000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Programming"],"published-print":{"date-parts":[[1988,5]]},"DOI":"10.1007\/bf01580772","type":"journal-article","created":{"date-parts":[[2005,4,28]],"date-time":"2005-04-28T09:52:50Z","timestamp":1114681970000},"page":"341-356","source":"Crossref","is-referenced-by-count":44,"title":["Inclusion functions and global optimization II"],"prefix":"10.1007","volume":"41","author":[{"given":"R. E.","family":"Moore","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"Ratschek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1007\/BF02241750","volume":"28","author":"N.S. Asaithambi","year":"1982","unstructured":"N.S. Asaithambi, Z. Shen and R.E. Moore, \u201cOn computing the range of values,\u201dComputing 28 (1982) 225\u2013237.","journal-title":"Computing"},{"key":"CR2","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1137\/0719054","volume":"19","author":"P. Basso","year":"1982","unstructured":"P. Basso, \u201cIterative methods for the localisation of the global maximum,\u201dSIAM Journal of Numerical Analysis 19 (1982) 781\u2013792.","journal-title":"SIAM Journal of Numerical Analysis"},{"key":"CR3","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/BF00934342","volume":"36","author":"H.P. Benson","year":"1982","unstructured":"H.P. Benson, \u201cOn the convergence of two branch-and-bounds algorithms for nonconvex programming problems,\u201dJournal of Optimization Theory and Applications 36(1982) 129\u2013134.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"CR4","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1007\/BF00933139","volume":"29","author":"E. Hansen","year":"1979","unstructured":"E. Hansen, \u201cGlobal optimisation using interval analysis: the one-dimensional case,\u201dJorunal of Optimization Theory and Applications 29(1979) 331\u2013334.","journal-title":"Jorunal of Optimization Theory and Applications"},{"key":"CR5","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1007\/BF01396702","volume":"34","author":"E. Hansen","year":"1980","unstructured":"E. Hansen, \u201cGlobal optimisation using interval analysis\u2014the multi-dimensional case,\u201dNumerische Mathematik 34 (1980) 247\u2013270.","journal-title":"Numerische Mathematik"},{"key":"CR6","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/BF02252616","volume":"23","author":"K. Ichida","year":"1979","unstructured":"K. Ichida and Y. Fujii, \u201cAn interval arithmetic method for global optimization,\u201d Computing 23(1979) 85\u201397.","journal-title":"Computing"},{"key":"CR7","volume-title":"Interval analysis","author":"R.E. Moore","year":"1966","unstructured":"R.E. Moore, Interval analysis (Prentice-Hall, Englewood Cliffs, 1966)."},{"key":"CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02241975","volume":"16","author":"R.E. Moore","year":"1976","unstructured":"R.E. Moore, \u201cOn computing the range of a ration function ofn variables over a bounded region,\u201dComputing 16(1976) 1\u201315.","journal-title":"Computing"},{"key":"CR9","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970906","volume-title":"Methods and Applications of Interval Analysis","author":"R.E. Moore","year":"1979","unstructured":"R.E. Moore,Methods and Applications of Interval Analysis (Sian, Philadelphia, 1979)."},{"key":"CR10","unstructured":"L.B. Rall, \u201cGlobal oprimization using automatic differentiation and interval iteration,\u201d Technical Summary Report #2832, Mathematics Research Center, University of Wisconsin-Madison (1985)."},{"key":"CR11","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1007\/BF01584379","volume":"33","author":"H. Ratschek","year":"1985","unstructured":"H. Ratschek, \u201cInclusion functions and global optimization,\u201dMathematical Programming 33(1985) 300\u2013317.","journal-title":"Mathematical Programming"},{"key":"CR12","volume-title":"Computer Methods for the Range of Functions","author":"H. Ratschek","year":"1984","unstructured":"H. Ratschek and J. Ronke,Computer Methods for the Range of Functions (Horwood, Chichester, 1984)."},{"key":"CR13","first-page":"85","volume":"14","author":"S. Skelboe","year":"1974","unstructured":"S. Skelboe, \u201cComputation of rational interval functions,\u201dNordisk Tidskrift for Informationsbehandling (BIT) 14 (1974) 85\u201397.","journal-title":"Nordisk Tidskrift for Informationsbehandling (BIT)"},{"key":"CR14","first-page":"272","volume-title":"Numerical Optimization 1984","author":"G.W. Walster","year":"1985","unstructured":"G.W. Walster, E.R. Hansen and S. Sengupta, \u201cTest results for a global optimization algorithm,\u201d in: P.T. Boggs, R.H. Byrd and R.B. Schnabel, eds.,Numerical Optimization 1984 (SIAM, Philadelphia, 1985) pp. 272\u2013287."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01580772.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01580772\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01580772","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,3]],"date-time":"2019-05-03T15:12:11Z","timestamp":1556896331000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01580772"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988,5]]},"references-count":14,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1988,5]]}},"alternative-id":["BF01580772"],"URL":"https:\/\/doi.org\/10.1007\/bf01580772","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1988,5]]}}}