{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T13:51:15Z","timestamp":1761486675212,"version":"3.43.0"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2001,10,1]],"date-time":"2001-10-01T00:00:00Z","timestamp":1001894400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2001,10,1]],"date-time":"2001-10-01T00:00:00Z","timestamp":1001894400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Reliable Computing"],"published-print":{"date-parts":[[2001,10]]},"DOI":"10.1023\/a:1011475926711","type":"journal-article","created":{"date-parts":[[2002,12,23]],"date-time":"2002-12-23T05:16:33Z","timestamp":1040620593000},"page":"399-408","source":"Crossref","is-referenced-by-count":12,"title":["Cheap and Tight Bounds on the Solution Set of Perturbed Systems of Nonlinear Equations"],"prefix":"10.1007","volume":"7","author":[{"given":"Lubomir V.","family":"Kolev","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ivo P.","family":"Nenov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"355323_CR1","first-page":"247","volume-title":"Interval Mathematics","author":"E. Adams","year":"1980","unstructured":"Adams, E.: On Sets of Solutions of Collections of Nonlinear Systems in IRn, in: Nickel, K. (ed.), Interval Mathematics, Academic Press, New York\u2014London\u2014Toronto, 1980, pp. 247-256."},{"key":"355323_CR2","doi-asserted-by":"publisher","first-page":"638","DOI":"10.1137\/0720043","volume":"20","author":"D. Gay","year":"1983","unstructured":"Gay, D.: Computing Perturbation Bounds for Nonlinear Algebraic Equations, SIAM J. Numer. Anal.\n                  20 (1983), pp. 638-651.","journal-title":"SIAM J. Numer. Anal."},{"key":"355323_CR3","volume-title":"Global Optimization Using Interval Analysis","author":"E. Hansen","year":"1992","unstructured":"Hansen, E.: Global Optimization Using Interval Analysis, Marcel Dekker Inc., New York, 1992."},{"key":"355323_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2495-0","volume-title":"Rigorous Global Search: Continuous Problems","author":"R. B. Kearfott","year":"1996","unstructured":"Kearfott, R. B.: Rigorous Global Search: Continuous Problems, Kluwer Academic Publishers, Dordrecht\u2014Boston\u2014London, 1996."},{"issue":"2","key":"355323_CR5","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1023\/A:1009981025255","volume":"4","author":"L. Kolev","year":"1998","unstructured":"Kolev, L.: A New Method for Global Solution of Nonlinear Equations, Reliable Computing\n                  4 (2) (1998), pp. 125-146.","journal-title":"Reliable Computing"},{"issue":"2","key":"355323_CR6","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1023\/A:1009935303343","volume":"5","author":"L. Kolev","year":"1999","unstructured":"Kolev, L.: An Improved Method for Global Solution of Nonlinear Systems, Reliable Computing\n                  5 (2) (1999), pp. 103-111.","journal-title":"Reliable Computing"},{"issue":"1","key":"355323_CR7","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1023\/A:1011470916953","volume":"7","author":"L. Kolev","year":"2001","unstructured":"Kolev, L.: Automatic Computation of a Linear Interval Enclosure, Reliable Computing\n                  7 (1) (2001), pp. 17-28.","journal-title":"Reliable Computing"},{"key":"355323_CR8","first-page":"7","volume-title":"Theoretical Electrotechnics, Part 4","author":"L. Kolev","year":"1993","unstructured":"Kolev, L.: Interval Methods in Circuit Theory, in: Toshev, G., Hinova, I., and Kolev, L., Theoretical Electrotechnics, Part 4, Technica, Sofia, 1993, pp. 7-63."},{"key":"355323_CR9","unstructured":"Kolev, L. and Mladenov, V.: Worst-Case Tolerance Analysis of Non-Linear Circuits Using an Interval Method, in: Proc. of the X International Symp. on Theoretical Electrical Eng., Magdeburg, Germany, September 6-9, 1999, pp. 621-623."},{"key":"355323_CR10","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1007\/BF02243016","volume":"32","author":"R. Krawczyk","year":"1984","unstructured":"Krawczyk, R.: Interval Iteration for Including a Set of Solutions, Comp.\n                  32 (1984), pp. 13-31.","journal-title":"Comp."},{"key":"355323_CR11","volume-title":"Interval Methods for Systems of Equations","author":"A. Neumaier","year":"1990","unstructured":"Neumaier, A.: Interval Methods for Systems of Equations, Cambridge Univ. Press, Cambridge, 1990."},{"issue":"1.1","key":"355323_CR12","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1016\/0022-247X(89)90357-0","volume":"144","author":"A. Neumaier","year":"1989","unstructured":"Neumaier, A.: Rigorous Sensitivity Analysis for Parameter-Dependent Systems of Equations, J. Math. Anal. and Appl.\n                  144 (1.1) (1989), pp. 16-25.","journal-title":"J. Math. Anal. and Appl."}],"container-title":["Reliable Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1011475926711.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1011475926711\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1011475926711.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T09:39:52Z","timestamp":1754473192000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1011475926711"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,10]]},"references-count":12,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2001,10]]}},"alternative-id":["355323"],"URL":"https:\/\/doi.org\/10.1023\/a:1011475926711","relation":{},"ISSN":["1385-3139","1573-1340"],"issn-type":[{"type":"print","value":"1385-3139"},{"type":"electronic","value":"1573-1340"}],"subject":[],"published":{"date-parts":[[2001,10]]}}}