{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T16:01:39Z","timestamp":1778601699324,"version":"3.51.4"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1990,12,1]],"date-time":"1990-12-01T00:00:00Z","timestamp":660009600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1990,12]]},"DOI":"10.1007\/bf02241652","type":"journal-article","created":{"date-parts":[[2005,11,14]],"date-time":"2005-11-14T23:15:40Z","timestamp":1132010140000},"page":"309-323","source":"Crossref","is-referenced-by-count":21,"title":["Solving nonlinear equation systems via global partition and search: Some experimental results","Aufl\u00f6sung nichtlinearer Gleichungssysteme mittels globaler Zerlegung und Suche: Einige experimentelle Ergebnisse"],"prefix":"10.1007","volume":"43","author":[{"given":"J.","family":"Pint\u00e9r","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02241652_CR1","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/978-3-642-68874-4_2","volume-title":"Mathematical Programming. The State of the Art","author":"E. L. Allgower","year":"1983","unstructured":"Allgower, E. L., and Georg, K.: Predictor-Corrector and Simplicial Methods for Approximating Fixed Points and Zero Points of Nonlinear Mappings. In: Mathematical Programming. The State of the Art, pp. 15\u201356. (Bachem, A., Gr\u00f6tschel, M. and Korte, B., eds.) Berlin Heidelberg New York: Springer-Verlag, 1983."},{"key":"BF02241652_CR2","first-page":"25","volume-title":"Theory of Optimal Decisions","author":"Yu. M. Danilin","year":"1967","unstructured":"Danilin, Yu. M., and Piyavskii, S. A.: An algorithm for finding the absolute minimum. In: Theory of Optimal Decisions, Vol. 2, pp. 25\u201337. Institute of Cybernetics of the Ukrainian Academy of Sciences, Kiev, 1967. (In Russian)."},{"key":"BF02241652_CR3","volume-title":"Numerical Methods for Nonlinear Equations and Unconstrained Optimization","author":"J. E. Dennis","year":"1983","unstructured":"Dennis, J. E., and Schnabel, R. B.: Numerical Methods for Nonlinear Equations and Unconstrained Optimization. Prentice-Hall, Englewood Cliffs, New Jersey, 1983."},{"key":"BF02241652_CR4","volume-title":"Towards Global Optimisation","year":"1975","unstructured":"Dixon, L. C. W., and Szeg\u00f6, G. P., ed.: Towards Global Optimisation. Vols. 1\u20132, North-Holland, Amsterdam, 1975, 1978."},{"key":"BF02241652_CR5","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1093\/comjnl\/7.2.149","volume":"7","author":"R. Fletcher","year":"1964","unstructured":"Fletcher, R., and Reeves, C. M.: Function minimization by conjugate gradients. Computer Journal7, 149\u2013154 (1964).","journal-title":"Computer Journal"},{"key":"BF02241652_CR6","volume-title":"Numerical Solution of Highly Nonlinear Problems","year":"1980","unstructured":"Forster, W. (ed.): Numerical Solution of Highly Nonlinear Problems. North-Holland, Amsterdam, 1980."},{"key":"BF02241652_CR7","volume-title":"Pathways to Solutions, Fixed Points and Equilibria","author":"C. B. Garcia","year":"1981","unstructured":"Garcia, C. B., and Zangwill, W. I.: Pathways to Solutions, Fixed Points and Equilibria. Prentice-Hall, Englewood Cliffs, New Jersey, 1981."},{"key":"BF02241652_CR8","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/BF00939776","volume":"58","author":"R. Horst","year":"1988","unstructured":"Horst, R., and Thoai, Ng. V.: Branch-and-bound methods for solving systems of Lipschitzian equations and inequalities. Technical Note, Journal of Optimization Theory and Applications58, 139\u2013146 (1988).","journal-title":"Technical Note, Journal of Optimization Theory and Applications"},{"key":"BF02241652_CR9","volume-title":"Iterative Solution of Nonlinear Equations in Several Variables","author":"J. Ortega","year":"1970","unstructured":"Ortega, J., and Rheinboldt, W. C.: Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York, 1970."},{"key":"BF02241652_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0000035","volume-title":"Constrained Global Optimization: Algorithms and Applications","author":"P. M. Pardalos","year":"1987","unstructured":"Pardalos, P. M., and Rosen, J. B.: Constrained Global Optimization: Algorithms and Applications. Lecture Notes in Computer Science 268, Berlin Heidelberg New York Tokyo: Springer-Verlag, 1987."},{"key":"BF02241652_CR11","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1080\/02331938608843118","volume":"17","author":"J. Pint\u00e9r","year":"1986","unstructured":"Pint\u00e9r, J.: Globally convergent methods forn-dimensional multiextremal optimization. Optimization17, 187\u2013202 (1986a).","journal-title":"Optimization"},{"key":"BF02241652_CR12","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1007\/BF02238195","volume":"36","author":"J. Pint\u00e9r","year":"1986","unstructured":"Pint\u00e9r, J.: Extended univariate algorithms forn-dimensional global optimization. Computing36, 91\u2013103 (1986b).","journal-title":"Computing"},{"key":"BF02241652_CR13","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/BF01721128","volume":"8","author":"J. Pint\u00e9r","year":"1986","unstructured":"Pint\u00e9r, J.: Global optimization on convex sets. Operations Research Spektrum8, 197\u2013202 (1986c).","journal-title":"Operations Research Spektrum"},{"key":"BF02241652_CR14","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1080\/02331938808843322","volume":"19","author":"J. Pint\u00e9r","year":"1988","unstructured":"Pint\u00e9r, J.: Branch-and-bound methods for solving global optimization problems with Lipschitzian structure. Optimization19, 101\u2013110 (1988).","journal-title":"Optimization"},{"key":"BF02241652_CR15","volume-title":"Numerical Methods for Nonlinear Algebraic Equations","year":"1970","unstructured":"Rabinowitz, Ph. (ed.): Numerical Methods for Nonlinear Algebraic Equations. Gordon and Breach, London, 1970."},{"key":"BF02241652_CR16","volume-title":"Analysis and Computation of Fixed Points","year":"1980","unstructured":"Robinson, S. M. (ed.): Analysis and Computation of Fixed Points. Academic Press, New York, 1980."},{"key":"BF02241652_CR17","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1007\/BF01584379","volume":"33","author":"H. Ratschek","year":"1985","unstructured":"Ratschek, H.: Inclusion functions and global optimization. Mathematical Programming33, 300\u2013317 (1985).","journal-title":"Mathematical Programming"},{"key":"BF02241652_CR18","series-title":"Report 8612\/A","volume-title":"Global Optimization","author":"A. H. G. Rinnooy Kan","year":"1986","unstructured":"Rinnooy Kan, A. H. G. and Timmer, G. T.: Global Optimization. Report 8612\/A, Erasmus University, Rotterdam, 1986."},{"key":"BF02241652_CR19","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1137\/0709036","volume":"9","author":"B. O. Shubert","year":"1972","unstructured":"Shubert, B. O.: A sequential method seeking the global maximum of a function. SIAM Journal on Numerical Analysis9, 379\u2013388 (1972).","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"BF02241652_CR20","volume-title":"Numerical Methods for Multiextremal Problems","author":"R. Strongin","year":"1978","unstructured":"Strongin, R.: Numerical Methods for Multiextremal Problems. Nauka, Moscow, 1978. (In Russian.)"},{"key":"BF02241652_CR21","first-page":"3","volume":"23","author":"I. N. Vysotskaya","year":"1983","unstructured":"Vysotskaya, I. N., and Strongin, R.: A method for solving nonlinear equations using prior probabilistic root estimates. Journal of Computational Mathematics and Mathematical Physics23, 3\u201312 (1983). (In Russian).","journal-title":"Journal of Computational Mathematics and Mathematical Physics"},{"key":"BF02241652_CR22","volume-title":"Continuation Methods","year":"1978","unstructured":"Wacker, H.-J. (ed.): Continuation Methods. Academic Press, New York, 1978."},{"key":"BF02241652_CR23","volume-title":"Global Optimization. Axiomatics of Statistical Models, Algorithms and Their Applications","author":"A. \u017dilinskas","year":"1986","unstructured":"\u017dilinskas, A.: Global Optimization. Axiomatics of Statistical Models, Algorithms and Their Applications. Mokslas Publishers, Vilnius, 1986. (In Russian)."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02241652.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02241652\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02241652","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T19:15:45Z","timestamp":1557861345000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02241652"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,12]]},"references-count":23,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1990,12]]}},"alternative-id":["BF02241652"],"URL":"https:\/\/doi.org\/10.1007\/bf02241652","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,12]]}}}