{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T11:06:12Z","timestamp":1751367972859},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1991,1,1]],"date-time":"1991-01-01T00:00:00Z","timestamp":662688000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[1991]]},"DOI":"10.1007\/bf00130831","type":"journal-article","created":{"date-parts":[[2004,11,4]],"date-time":"2004-11-04T10:34:18Z","timestamp":1099564458000},"page":"359-374","source":"Crossref","is-referenced-by-count":4,"title":["Bounding the set of solutions of a perturbed global optimization problem"],"prefix":"10.1007","volume":"1","author":[{"given":"E. R.","family":"Hansen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","volume-title":"Towards Global Optimization","author":"L. C. W. Dixon","year":"1975","unstructured":"Dixon L. C. W. and Szeg\u00f6 G. P. (1975), Towards Global Optimization, North Holland\/American Elsevier, New York."},{"key":"CR2","doi-asserted-by":"crossref","unstructured":"Hansen, E. R. (1980), Global Optimization Using Interval Analysis-the Multidimensional Case, Numerische Mathematik, 247?270.","DOI":"10.1007\/BF01396702"},{"key":"CR3","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/0305-0548(69)90003-3","volume":"11","author":"E. R. Hansen","year":"1984","unstructured":"Hansen E. R. (1984), Global Optimiation with Data Perturbations, Comput. Ops. Res. 11, 97?104.","journal-title":"Comput. Ops. Res."},{"key":"CR4","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/B978-0-12-505630-4.50021-3","volume-title":"Reliability in Computing","author":"E. R. Hansen","year":"1988","unstructured":"Hansen E. R. (1988), An Overview of Global Optimization Using Interval Analysis, pp. 289?307 in Moore R. E. (ed.), Reliability in Computing, Academic Press, Boston."},{"key":"CR5","first-page":"25","volume-title":"Interval Mathematics","author":"E. R. Hansen","year":"1980","unstructured":"Hansen E. R. and Sengupta S. (1980), Global Constrained Optimization Using Interval Analysis, pp. 25?47 in Nickel K. L., (ed.), Interval Mathematics 1980, Academic Press, New York"},{"key":"CR6","unstructured":"Hansen, E. R. and Walster, G. W. (1992), Equality Constrained Global Optimization, accepted for publication."},{"key":"CR7","unstructured":"Hansen, E. R. and Walster, G. W. (1992), Nonlinear Equations and Optimization, to appear in the Second Special Issue on Global Optimization, Control and Games of Comput. Math. Appl."},{"key":"CR8","unstructured":"Hansen, E. R. and Walster, G. W. (1992), Bounds for Lagrange Multipliers and Optimal Points, to appear in the Second Special Issue on Global Optimization, Control and Games of Comput. Math. Appl."},{"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":"Moore R. E., (1979), Methods and Applications of Interval Analysis, SIAM Publ., Philadelphia."},{"key":"CR10","doi-asserted-by":"crossref","unstructured":"Moore, R. E., Hansen, E. R., and Leclerc, A. (1992), Rigorous Methods for Parallel Global Optimization, to appear in Recent Advances in Global Optimization, Princeton Univ. Press.","DOI":"10.1515\/9781400862528.321"},{"key":"CR11","doi-asserted-by":"crossref","unstructured":"Neumaier, A. (1990), Interval Methods for Systems of Equations, Cambridge Univ. Press.","DOI":"10.1017\/CBO9780511526473"},{"key":"CR12","volume-title":"New Computer Methods for Global Optimization","author":"H. Ratshek","year":"1988","unstructured":"Ratshek H. and Rokne J. (1988), New Computer Methods for Global Optimization, Halstead Press, New York."},{"key":"CR13","unstructured":"Walster, G. W., Hansen, E. R., and Sengupta, S. (1985), Test Results for a Global Optimization Algorithm, pp. 272?287 in Boggs, P. T., Byrd, R. H., and Schnabel, R. B. (eds.), Numerical Optimization 1984, SIAM Publ."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00130831.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF00130831\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00130831","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,3]],"date-time":"2020-04-03T19:52:49Z","timestamp":1585943569000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF00130831"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991]]},"references-count":13,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1991]]}},"alternative-id":["BF00130831"],"URL":"https:\/\/doi.org\/10.1007\/bf00130831","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991]]}}}