{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T17:56:15Z","timestamp":1725558975123},"publisher-location":"Berlin, Heidelberg","reference-count":26,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540260035"},{"type":"electronic","value":"9783540320418"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11425076_3","type":"book-chapter","created":{"date-parts":[[2010,7,13]],"date-time":"2010-07-13T14:27:56Z","timestamp":1279031276000},"page":"31-45","source":"Crossref","is-referenced-by-count":1,"title":["Accelerating Consistency Techniques and Prony\u2019s Method for Reliable Parameter Estimation of Exponential Sums"],"prefix":"10.1007","author":[{"given":"J\u00fcrgen","family":"Garloff","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laurent","family":"Granvilliers","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrew P.","family":"Smith","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"3_CR1","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1137\/S0895479896297069","volume":"18","author":"G. Alefeld","year":"1997","unstructured":"Alefeld, G., Kreinovich, V., Mayer, G.: On the shape of the symmetric, persymmetric, and skew-symmetric solution set. SIAM J. Matrix Anal. Appl.\u00a018, 693\u2013705 (1997)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"3_CR2","doi-asserted-by":"publisher","first-page":"1223","DOI":"10.1137\/S0895479894268075","volume":"16","author":"G. Alefeld","year":"1995","unstructured":"Alefeld, G., Mayer, G.: On the symmetric and unsymmetric solution set of interval systems. SIAM J. Matrix Anal. Appl.\u00a016, 1223\u20131240 (1995)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"3_CR3","first-page":"73","volume":"10","author":"N. Apostolatos","year":"1968","unstructured":"Apostolatos, N., Kulisch, U.: Grundz\u00fcge einer Intervallrechnung f\u00fcr Matrizen und einige Anwendungen. Elektron. Rechenanlagen\u00a010, 73\u201383 (1968)","journal-title":"Elektron. Rechenanlagen"},{"unstructured":"Beeck, H.: \u00dcber intervallanalytische Methoden bei linearen Gleichungssystemen mit Intervallkoeffizienten und Zusammenh\u00e4nge mit der Fehleranalysis. Dissertation, Technical University Munich (1971)","key":"3_CR4"},{"key":"3_CR5","volume-title":"Methods of Nonlinear Analysis","author":"R. Bellmann","year":"1970","unstructured":"Bellmann, R.: Methods of Nonlinear Analysis, vol.\u00a0I. Academic Press, New York (1970)"},{"key":"3_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/3-540-45349-0_7","volume-title":"Proceedings of International Conference on Principles and Practice of Constraint Programming","author":"F. Benhamou","year":"2000","unstructured":"Benhamou, F., Goualard, F.: Universally quantified interval constraints. In: Dechter, R. (ed.) CP 2000. LNCS, vol.\u00a01894, pp. 67\u201382. Springer, Heidelberg (2000)"},{"issue":"3","key":"3_CR7","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1023\/A:1009943413814","volume":"3","author":"F. Benhamou","year":"1997","unstructured":"Benhamou, F., Granvilliers, L.: Automatic generation of numerical redundancies for nonlinear constraint solving. Reliable Computing\u00a03(3), 335\u2013344 (1997)","journal-title":"Reliable Computing"},{"issue":"2","key":"3_CR8","first-page":"125","volume":"2","author":"J.G. Cleary","year":"1987","unstructured":"Cleary, J.G.: Logical arithmetic. Future Computing Systems\u00a02(2), 125\u2013149 (1987)","journal-title":"Future Computing Systems"},{"key":"3_CR9","first-page":"406","volume-title":"Proceedings of International Joint Conference on Artificial Intelligence","author":"H. Collavizza","year":"1999","unstructured":"Collavizza, H., Delobel, F., Rueher, M.: Extending consistent domains of numeric CSPs. In: Dean, T. (ed.) Proceedings of International Joint Conference on Artificial Intelligence, Stockholm, Sweden, pp. 406\u2013413. Morgan Kaufmann, San Francisco (1999)"},{"key":"3_CR10","doi-asserted-by":"publisher","first-page":"1841","DOI":"10.1021\/ie970852g","volume":"37","author":"W.R. Esposito","year":"1998","unstructured":"Esposito, W.R., Floudas, C.A.: Global optimization in parameter estimation of nonlinear algebraic models via the error\u2013in\u2013variables approach. Industrial and Engineering Chemistry Research\u00a037, 1841\u20131858 (1998)","journal-title":"Industrial and Engineering Chemistry Research"},{"key":"3_CR11","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1016\/S0098-1354(98)00217-8","volume":"22","author":"W.R. Esposito","year":"1998","unstructured":"Esposito, W.R., Floudas, C.A.: Parameter estimation of nonlinear algebraic models via global optimization. Computers and Chemical Engineering\u00a022, 213\u2013220 (1998)","journal-title":"Computers and Chemical Engineering"},{"unstructured":"Garloff, J.: Untersuchungen zur Intervallinterpolation. Dissertation, University of Freiburg, Freiburger Intervall-Berichte 80\/5 (1980)","key":"3_CR12"},{"unstructured":"Gau, C.-Y., Stadtherr, M.A.: Nonlinear parameter estimation using interval analysis. In: AIChE Symp. Ser., vol.\u00a094(304), pp. 444\u2013450 (1999)","key":"3_CR13"},{"key":"3_CR14","doi-asserted-by":"crossref","DOI":"10.1201\/b14095","volume-title":"Pharmacokinetics","author":"M. Gibaldi","year":"1982","unstructured":"Gibaldi, M., Perrier, D.: Pharmacokinetics. Marcel Dekker, Inc., New York (1982)"},{"unstructured":"Granvilliers, L.: RealPaver User\u2019s Manual, Version 0.3 (2003), Available at www.sciences.univ-nantes.fr\/info\/perso\/permanents\/granvil\/realpaver","key":"3_CR15"},{"issue":"2","key":"3_CR16","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1023\/A:1011266226870","volume":"20","author":"L. Granvilliers","year":"2001","unstructured":"Granvilliers, L., Benhamou, F.: Progress in the solving of a circuit design problem. Journal of Global Optimization\u00a020(2), 155\u2013168 (2001)","journal-title":"Journal of Global Optimization"},{"key":"3_CR17","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/978-1-4757-6484-0_20","volume-title":"Scientific Computing, Validated Numerics, Interval Methods","author":"E.P. Hofer","year":"2001","unstructured":"Hofer, E.P., Tibken, B., Vlach, M.: Traditional parameter estimation versus estimation of guaranteed parameter sets. In: Kr\u00e4mer, W., von Guddenberg, J.W. (eds.) Scientific Computing, Validated Numerics, Interval Methods, pp. 241\u2013254. Kluwer Academic Publishers, Boston (2001)"},{"key":"3_CR18","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/S0096-3003(00)00138-7","volume":"126","author":"K. Holmstr\u00f6m","year":"2002","unstructured":"Holmstr\u00f6m, K., Petersson, J.: A review of the parameter estimation problem of fitting positive exponential sums to empirical data. Applied Mathematics and Computations\u00a0126, 31\u201361 (2002)","journal-title":"Applied Mathematics and Computations"},{"key":"3_CR19","doi-asserted-by":"publisher","first-page":"1547","DOI":"10.1016\/S0005-1098(00)00068-6","volume":"36","author":"L. Jaulin","year":"2000","unstructured":"Jaulin, L.: Interval constraint propagation with application to bounded-error estimation. Automatica\u00a036, 1547\u20131552 (2000)","journal-title":"Automatica"},{"key":"3_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4471-0249-6","volume-title":"Applied Interval Analysis","author":"L. Jaulin","year":"2001","unstructured":"Jaulin, L., Kieffer, M., Didrit, O., Walter, E.: Applied Interval Analysis. Springer, Heidelberg (2001)"},{"issue":"4","key":"3_CR21","doi-asserted-by":"publisher","first-page":"1053","DOI":"10.1016\/0005-1098(93)90106-4","volume":"29","author":"L. Jaulin","year":"1993","unstructured":"Jaulin, L., Walter, E.: Set inversion via interval analysis for nonlinear boundederror estimation. Automatica\u00a029(4), 1053\u20131064 (1993)","journal-title":"Automatica"},{"key":"3_CR22","volume-title":"Applied Analysis","author":"C. Lanczos","year":"1956","unstructured":"Lanczos, C.: Applied Analysis. Prentice-Hall, Englewood Cliffs (1956)"},{"key":"3_CR23","volume-title":"Interval Analysis","author":"R.E. Moore","year":"1966","unstructured":"Moore, R.E.: Interval Analysis. Prentice-Hall, Englewood Cliffs (1966)"},{"key":"3_CR24","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 (Encyclopedia of Mathematics and its Applications), Cambridge (1990)"},{"issue":"2","key":"3_CR25","first-page":"24","volume":"1","author":"R. Prony","year":"1795","unstructured":"Prony, R.: Essai experimental et analytique sur les lois de la dilatabilit\u00e9 des fluides \u00e9lastiques et sur celles de la force expansive de la vapeur de l\u2019eau et de la vapeur de l\u2019alkool, \u00e0 diff\u00e9rentes temp\u00e9ratures. Journal de l\u2019Ecole Polytechnique 1(2), 24\u201376 (1795)","journal-title":"Journal de l\u2019Ecole Polytechnique"},{"key":"3_CR26","volume-title":"Theoretische Pharmakokinetik","author":"M. Weiss","year":"1990","unstructured":"Weiss, M.: Theoretische Pharmakokinetik. Verlag Gesundheit, Berlin (1990)"}],"container-title":["Lecture Notes in Computer Science","Global Optimization and Constraint Satisfaction"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11425076_3.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,31]],"date-time":"2021-10-31T09:50:52Z","timestamp":1635673852000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11425076_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540260035","9783540320418"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/11425076_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}