{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T14:12:11Z","timestamp":1769177531143,"version":"3.49.0"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,2,1]],"date-time":"2006-02-01T00:00:00Z","timestamp":1138752000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Reliable Comput"],"published-print":{"date-parts":[[2006,2]]},"DOI":"10.1007\/s11155-006-2966-7","type":"journal-article","created":{"date-parts":[[2005,12,7]],"date-time":"2005-12-07T19:28:39Z","timestamp":1133983719000},"page":"1-20","source":"Crossref","is-referenced-by-count":33,"title":["Complex Interval Arithmetic Using Polar Form"],"prefix":"10.1007","volume":"12","author":[{"given":"Yves","family":"Candau","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tarek","family":"Raissi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nacim","family":"Ramdani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laurent","family":"Ibos","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"2966_CR1","volume-title":"Introduction to Interval Computations","author":"G. Alefeld","year":"1983","unstructured":"Alefeld, G. and Herzberger, J.: Introduction to Interval Computations, Academic Press, New York, 1983."},{"issue":"1","key":"2966_CR2","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1088\/0022-3727\/37\/1\/022","volume":"37","author":"A. Boudenne","year":"2004","unstructured":"Boudenne, A., Ibos, L., Ghin, E., and Candau, Y.: A Simultaneous Characterisation of Thermal Conductivity and Diffusivity of Polymer Materials by a Periodic Method, Journal of Physics D: Applied Physics 37 (1) (2004), pp. 132\u2013139.","journal-title":"Journal of Physics D: Applied Physics"},{"issue":"1","key":"2966_CR3","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1023\/A:1014737602641","volume":"8","author":"R. T. Farouki","year":"2002","unstructured":"Farouki, R. T. and Pottmann, H.: Exact Minkowski Products of N Complex Disks, Reliable Computing 8 (1) (2002), pp. 43\u201366.","journal-title":"Reliable Computing"},{"key":"2966_CR4","volume-title":"Global Optimisation Using Interval Analysis","author":"E. Hansen","year":"1992","unstructured":"Hansen, E.: Global Optimisation Using Interval Analysis, Marcel Dekker, New York, 1992."},{"key":"2966_CR5","volume-title":"Dielectric and Mechanical Relaxation in Materials","author":"S. Havriliak Jr.","year":"1997","unstructured":"Havriliak, Jr., S. and Havriliak, S. J.: Dielectric and Mechanical Relaxation in Materials, Munich, Hanser, 1997."},{"key":"2966_CR6","doi-asserted-by":"crossref","unstructured":"Henrici, P.: Circular Arithmetic and the Determination of Polynomial Zeros, Springer Lecture Notes 228, 1971, pp. 86\u201392.","DOI":"10.1007\/BFb0069450"},{"key":"2966_CR7","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, Netherlands, 1996."},{"issue":"2\u20133","key":"2966_CR8","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/BF02281720","volume":"24","author":"R. Klatte","year":"1980","unstructured":"Klatte, R. and Ullrich, C.: Complex Sector Arithmetic, Computing 24 (2\u20133) (1980), pp. 139\u2013148.","journal-title":"Computing"},{"key":"2966_CR9","doi-asserted-by":"crossref","unstructured":"Lohner, R. and Wolff von Gudenberg, J.: Complex Interval Division with Maximum Accuracy, in: Computer Arithmetic 7th Symposium, Urbana (Illinois), June 1985, pp. 332\u2013336.","DOI":"10.1109\/ARITH.1985.6158963"},{"key":"2966_CR10","volume-title":"Interval Analysis","author":"R. E. Moore","year":"1966","unstructured":"Moore, R. E.: Interval Analysis, Prentice Hall, Englewood Cliffs, 1966."},{"key":"2966_CR11","volume-title":"Interval Methods for Systems of Equations","author":"A. Neumaier","year":"1990","unstructured":"Neumaier, A.: Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990."},{"key":"2966_CR12","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/BF02281715","volume":"24","author":"K. Nickel","year":"1980","unstructured":"Nickel, K.: Arithmetic of Complex Sets, Computing 24 (1980), pp. 97\u2013105.","journal-title":"Computing"},{"key":"2966_CR13","volume-title":"Complex Interval Arithmetic and Its Applications","author":"M. S. Petkovic","year":"1998","unstructured":"Petkovic, M. S. and Petkovic, L. D.: Complex Interval Arithmetic and Its Applications, Wiley-VCH, Berlin, 1998."},{"key":"2966_CR14","doi-asserted-by":"crossref","unstructured":"Raissi, T., Ibos, L., Ramdani, N., and Candau, Y: Guaranteed Method for the Estimation of Dielectric Relaxation Models Parameters, in: 8th IEEE International Conference on Solid Dielectrics, ICSD'2004, 5\u20139 July 2004, Toulouse, to appear.","DOI":"10.1109\/ICSD.2004.1350302"},{"key":"2966_CR15","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1145\/362515.362563","volume":"14","author":"J. Rokne","year":"1971","unstructured":"Rokne, J. and Lancaster, P.: Complex Interval Arithmetic, ACM 14 (1971), pp. 111\u2013112.","journal-title":"ACM"}],"container-title":["Reliable Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11155-006-2966-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11155-006-2966-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11155-006-2966-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T08:31:34Z","timestamp":1559377894000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11155-006-2966-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,2]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,2]]}},"alternative-id":["2966"],"URL":"https:\/\/doi.org\/10.1007\/s11155-006-2966-7","relation":{},"ISSN":["1385-3139","1573-1340"],"issn-type":[{"value":"1385-3139","type":"print"},{"value":"1573-1340","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,2]]}}}