{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,10]],"date-time":"2025-01-10T05:19:19Z","timestamp":1736486359390,"version":"3.32.0"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2006,6,1]],"date-time":"2006-06-01T00:00:00Z","timestamp":1149120000000},"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":[[2006,6]]},"DOI":"10.1007\/s00607-006-0166-2","type":"journal-article","created":{"date-parts":[[2006,6,19]],"date-time":"2006-06-19T11:59:56Z","timestamp":1150718396000},"page":"387-411","source":"Crossref","is-referenced-by-count":10,"title":["PHoMpara \u2013 Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems"],"prefix":"10.1007","volume":"77","author":[{"given":"T.","family":"Gunji","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Kim","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Fujisawa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Kojima","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,6,20]]},"reference":[{"key":"166_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02243071","volume":"33","author":"S. G. Akl","year":"1984","journal-title":"Computing"},{"key":"166_CR2","doi-asserted-by":"crossref","unstructured":"Allgower, E., Georg, K.: Numerical continuation methods. Springer 1990.","DOI":"10.1007\/978-3-642-61257-2"},{"key":"166_CR3","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/BF00129645","volume":"3","author":"D. C. S. Allison","year":"1989","journal-title":"J. Supercomputing"},{"key":"166_CR4","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/BF01075595","volume":"9","author":"D. N. Bernshtein","year":"1975","journal-title":"Funct. Anal. Appl."},{"key":"166_CR5","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/S0747-7171(86)80014-1","volume":"2","author":"W. Boege","year":"1986","journal-title":"J. Symb. Comput."},{"key":"166_CR6","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/S0747-7171(08)80153-8","volume":"12","author":"G. Bj\u00f6rck","year":"1991","journal-title":"J. Symb. Comput."},{"key":"166_CR7","doi-asserted-by":"crossref","unstructured":"Dai, Y., Kim S., Kojima, M.: Computing all nonsingular solutions of cyclic-n polynomial using polyhedral homotopy continuation methods. J. Comput. Appl. Math. 151, 1\u20132:83\u201397 (2003).","DOI":"10.1016\/S0377-0427(02)00698-2"},{"key":"166_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1287\/moor.4.1.1","volume":"4","author":"C. B. Garcia","year":"1979","journal-title":"Math. Oper. Res."},{"key":"166_CR9","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/S0096-3003(99)00115-0","volume":"114","author":"T. Gao","year":"2000","journal-title":"Appl. Math. Comput."},{"key":"166_CR10","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1007\/s00607-003-0032-4","volume":"73","author":"T. Gunji","year":"2004","journal-title":"Computing"},{"key":"166_CR11","doi-asserted-by":"crossref","first-page":"1541","DOI":"10.1090\/S0025-5718-1995-1297471-4","volume":"64","author":"B. Huber","year":"1995","journal-title":"Math. Comput."},{"key":"166_CR12","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1023\/A:1019163811284","volume":"18","author":"B. Huber","year":"1998","journal-title":"Numer. Algorithms"},{"key":"166_CR13","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1007\/s00607-004-0070-6","volume":"73","author":"S. Kim","year":"2004","journal-title":"Computing"},{"key":"166_CR14","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/BF03023953","volume":"9","author":"T. Y. Li","year":"1987","journal-title":"The mathematical intelligencer"},{"key":"166_CR15","doi-asserted-by":"crossref","first-page":"251","DOI":"10.11650\/twjm\/1500407124","volume":"3","author":"T. Y. Li","year":"1999","journal-title":"Taiwan J. Math."},{"key":"166_CR16","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/s102080010005","volume":"1","author":"T. Y. Li","year":"2001","journal-title":"Foundation of Computational Mathematics"},{"key":"166_CR17","unstructured":"Morgan, A.: Solving polynomial systems using continuation for engineering and scientific problems. Prentice-Hall, 1987."},{"key":"166_CR18","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/0096-3003(89)90099-4","volume":"29","author":"A. P. Morgan","year":"1989","journal-title":"Appl. Math. Comput."},{"key":"166_CR19","doi-asserted-by":"crossref","first-page":"1339","DOI":"10.1016\/0362-546X(89)90017-5","volume":"13","author":"A. P. Morgan","year":"1989","journal-title":"Nonlinear Analysis"},{"key":"166_CR20","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/0196-8858(92)90014-N","volume":"13","author":"A. P. Morgan","year":"1992","journal-title":"Adv. Appl. Math."},{"key":"166_CR21","unstructured":"MPI: http:\/\/www.mpi-forum.org."},{"key":"166_CR22","doi-asserted-by":"crossref","unstructured":"Nemhauser,G. L.,Wolsey, L. A.: Integer and combinatorial optimization.Wiley-Interscience, 1988","DOI":"10.1002\/9781118627372"},{"key":"166_CR23","doi-asserted-by":"crossref","first-page":"1779","DOI":"10.1137\/0149109","volume":"49","author":"V. W. Noonberg","year":"1989","journal-title":"SIAM J. Appl. Math."},{"key":"166_CR24","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0167-8191(89)90015-X","volume":"10","author":"W. Pelz","year":"1989","journal-title":"Parallel Computing"},{"key":"166_CR25","doi-asserted-by":"crossref","unstructured":"Sato, M., Nakada, H., Sekiguchi, S., Matsuoka, S., Nagashima, U., Takagi, H.: Ninf: A network based information library for a global world-wide computing infrastructure. HPCN'97 (LNCS-1225), 1997, pp. 491\u2013502.","DOI":"10.1007\/BFb0031622"},{"key":"166_CR26","doi-asserted-by":"crossref","unstructured":"Su, H. -J., McCarthy, J. M.: Kinematic synthesis of RPS serial chains. In: Proc. ASME Design Engineering Technical Conferences (CDROM), Chicago, IL, September 2\u20136, 2003.","DOI":"10.1115\/DETC2003\/DAC-48813"},{"key":"166_CR27","doi-asserted-by":"crossref","unstructured":"Sturmfels, B.: Solving systems of polynomial equations. CBMS Regional Conf. Series in Mathematics, No. 97. American Mathematical Society, 2002.","DOI":"10.1090\/cbms\/097"},{"key":"166_CR28","unstructured":"Su, H. J., McCarthy, J. M., Sosonkina, M., Watson, L. T.: POLSYS-GLP: A parallel general linear product homotopy code for solving polynomial systems of equations. ACM Trans. Math. Softw. (to appear)."},{"key":"166_CR29","first-page":"64","volume":"45","author":"A. Takeda","year":"2002","journal-title":"J. Oper. Soc. Japan"},{"key":"166_CR30","unstructured":"Traverso, C.: The PoSSo test suite examples. Available at http:\/\/www.inria.fr\/saga\/POL."},{"key":"166_CR31","unstructured":"Verschelde, J.: The database of polynomial systems is in his web site: ``http:\/\/www.math.uic. edu\/~jan\/''."},{"key":"166_CR32","doi-asserted-by":"crossref","first-page":"915","DOI":"10.1137\/0731049","volume":"31","author":"J. Verschelde","year":"1994","journal-title":"SIAM J. Numer. Anal."},{"key":"166_CR33","unstructured":"Verschelde, J.: Homotopy continuation methods for solving polynomial systems. Ph.D. thesis, Department of Computer Science, Katholieke Universiteit Leuven, 1996."},{"key":"166_CR34","doi-asserted-by":"crossref","unstructured":"Verschelde, J., Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation. ACM Trans. Math. Softw. 25, 251\u2013276 (1999).","DOI":"10.1145\/317275.317286"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-006-0166-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00607-006-0166-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-006-0166-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,9]],"date-time":"2025-01-09T12:39:20Z","timestamp":1736426360000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00607-006-0166-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,6]]},"references-count":34,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2006,6]]}},"alternative-id":["166"],"URL":"https:\/\/doi.org\/10.1007\/s00607-006-0166-2","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"type":"print","value":"0010-485X"},{"type":"electronic","value":"1436-5057"}],"subject":[],"published":{"date-parts":[[2006,6]]}}}