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Given a sequence of (multi)homogeneous polynomials, the software multiregeneration outputs the respective (multi)degree in a wide range of cases and partial multidegree in all others. We use Python for the file processing, while Bertini [2] is needed for the continuation. Moreover, parallelization options and several strategies for solving structured polynomial systems are available.<\/jats:p>","DOI":"10.1145\/3427218.3427221","type":"journal-article","created":{"date-parts":[[2020,9,29]],"date-time":"2020-09-29T22:08:58Z","timestamp":1601417338000},"page":"39-43","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["MultiRegeneration for polynomial system solving"],"prefix":"10.1145","volume":"54","author":[{"given":"Colin","family":"Crowley","sequence":"first","affiliation":[{"name":"University of Wisconsin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jose Israel","family":"Rodriguez","sequence":"additional","affiliation":[{"name":"University of Wisconsin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jacob","family":"Weiker","sequence":"additional","affiliation":[{"name":"University of Wisconsin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jacob","family":"Zoromski","sequence":"additional","affiliation":[{"name":"University of Notre Dame"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2020,9,29]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.5555\/945750"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.5555\/2568129"},{"key":"e_1_2_1_3_1","volume-title":"Software for multiregeneration","author":"Crowley C.","year":"2020","unstructured":"C. Crowley and J. I. Rodriguez . Software for multiregeneration , 2020 . Available at https:\/\/github.com\/colinwcrowley\/multiregeneration-tutorial. C. Crowley and J. I. Rodriguez. Software for multiregeneration, 2020. Available at https:\/\/github.com\/colinwcrowley\/multiregeneration-tutorial."},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00199-009-0447-z"},{"key":"e_1_2_1_5_1","unstructured":"D. R. Grayson and M. E. Stillman. Macaulay2 a software system for research in algebraic geometry. Available at http:\/\/www.math.uiuc.edu\/Macaulay2\/.  D. R. Grayson and M. E. Stillman. Macaulay2 a software system for research in algebraic geometry. Available at http:\/\/www.math.uiuc.edu\/Macaulay2\/."},{"key":"e_1_2_1_6_1","unstructured":"J. D. Hauenstein A. Leykin J. I. Rodriguez and F. Sottile. A numerical toolkit for multiprojective varieties. To appear in Math. Comp.  J. D. Hauenstein A. Leykin J. I. Rodriguez and F. Sottile. A numerical toolkit for multiprojective varieties. To appear in Math. Comp."},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1515\/advgeom-2020-0006"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.18409\/jas.v5i1.23"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2010-02399-3"},{"key":"e_1_2_1_10_1","volume-title":"The loss surface of deep linear networks viewed through the algebraic geometry lens","author":"Mehta D.","year":"2018","unstructured":"D. Mehta , T. Chen , T. Tang , and J. D. Hauenstein . The loss surface of deep linear networks viewed through the algebraic geometry lens , 2018 . preprint arXiv:1810.07716. D. Mehta, T. Chen, T. Tang, and J. D. Hauenstein. The loss surface of deep linear networks viewed through the algebraic geometry lens, 2018. preprint arXiv:1810.07716."},{"key":"e_1_2_1_11_1","series-title":"Graduate Texts in Mathematics","volume-title":"Combinatorial commutative algebra","author":"Miller E.","year":"2005","unstructured":"E. Miller and B. Sturmfels . Combinatorial commutative algebra , volume 227 of Graduate Texts in Mathematics . Springer-Verlag , New York , 2005 . E. Miller and B. Sturmfels. Combinatorial commutative algebra, volume 227 of Graduate Texts in Mathematics. Springer-Verlag, New York, 2005."},{"key":"e_1_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1142\/5763"}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3427218.3427221","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3427218.3427221","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T22:02:24Z","timestamp":1750197744000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3427218.3427221"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,6]]}},"alternative-id":["10.1145\/3427218.3427221"],"URL":"https:\/\/doi.org\/10.1145\/3427218.3427221","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2020,6]]},"assertion":[{"value":"2020-09-29","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}