{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,6]],"date-time":"2026-02-06T21:30:20Z","timestamp":1770413420499,"version":"3.49.0"},"reference-count":9,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T00:00:00Z","timestamp":1736294400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T00:00:00Z","timestamp":1736294400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2025,2]]},"DOI":"10.1007\/s10957-024-02587-z","type":"journal-article","created":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T08:48:58Z","timestamp":1736326138000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Sufficient Conditions for a Real-Valued Function to have a Unique Root or No Root at All"],"prefix":"10.1007","volume":"204","author":[{"given":"Daniel","family":"Solow","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2119-9621","authenticated-orcid":false,"given":"Qi","family":"Wu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,1,8]]},"reference":[{"key":"2587_CR1","unstructured":"Bauschke, H.H., Lal, M.K., Wang, X.: Real roots of real cubics and optimization. J. Convex Anal. 32(1), 119\u2013144 (2025)"},{"issue":"3","key":"2587_CR2","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1080\/00029890.1992.11995845","volume":"99","author":"DC Kurtz","year":"1992","unstructured":"Kurtz, D.C.: A sufficient condition for all the roots of a polynomial to be real. Am. Math. Mon. 99(3), 259\u2013263 (1992)","journal-title":"Am. Math. Mon."},{"key":"2587_CR3","unstructured":"Nocedal, J., Wright, S.J.: Line search methods. In: Numerical Optimization, Springer, New York, pp. 30\u201365 (2006)"},{"key":"2587_CR4","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970012","volume-title":"Methods for Solving Systems of Nonlinear Equations","author":"WC Rheinboldt","year":"1998","unstructured":"Rheinboldt, W.C.: Methods for Solving Systems of Nonlinear Equations. SIAM, Philadelphia (1998)"},{"key":"2587_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-34675-5","volume-title":"Stochastic Orders","author":"M Shaked","year":"2007","unstructured":"Shaked, M., Shanthikumar, J.G.: Stochastic Orders. Springer, Berlin (2007)"},{"issue":"3","key":"2587_CR6","doi-asserted-by":"publisher","first-page":"1334","DOI":"10.1016\/j.ejor.2005.10.041","volume":"176","author":"D Solow","year":"2007","unstructured":"Solow, D., Li, H.: A constrained optimization approach to solving certain systems of convex equations. Eur. J. Oper. Res. 176(3), 1334\u20131347 (2007)","journal-title":"Eur. J. Oper. Res."},{"key":"2587_CR7","doi-asserted-by":"publisher","first-page":"1813","DOI":"10.1002\/nvsm.1803","volume":"28","author":"D Solow","year":"2023","unstructured":"Solow, D., Symes, R., Webb, N.: A novel approach to legacy donations with long-term benefits supported by mathematical analysis. J. Philanthropy Market. 28, 1813 (2023)","journal-title":"J. Philanthropy Market."},{"issue":"2","key":"2587_CR8","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1111\/poms.13884","volume":"32","author":"Q Wu","year":"2023","unstructured":"Wu, Q., Honhon, D.: Don\u2019t waste that free lettuce! impact of BOGOF promotions on retail profit and food waste. Prod. Oper. Manag. 32(2), 501\u2013523 (2023)","journal-title":"Prod. Oper. Manag."},{"issue":"1\u20132","key":"2587_CR9","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1006\/jsco.1998.0274","volume":"28","author":"L Yang","year":"1999","unstructured":"Yang, L.: Recent advances on determining the number of real roots of parametric polynomials. J. Symb. Comput. 28(1\u20132), 225\u2013242 (1999)","journal-title":"J. Symb. Comput."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-024-02587-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10957-024-02587-z","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-024-02587-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,6]],"date-time":"2026-02-06T10:24:49Z","timestamp":1770373489000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10957-024-02587-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1,8]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,2]]}},"alternative-id":["2587"],"URL":"https:\/\/doi.org\/10.1007\/s10957-024-02587-z","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1,8]]},"assertion":[{"value":"14 December 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 October 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 January 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 February 2026","order":5,"name":"change_date","label":"Change Date","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"Update","order":6,"name":"change_type","label":"Change Type","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The reference section has been corrected","order":7,"name":"change_details","label":"Change Details","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"21"}}