{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T04:28:22Z","timestamp":1750220902416,"version":"3.41.0"},"reference-count":5,"publisher":"Association for Computing Machinery (ACM)","issue":"4","license":[{"start":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T00:00:00Z","timestamp":1559174400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2019,5,30]]},"abstract":"<jats:p>\n            The\n            <jats:italic>Fenchel conjugate<\/jats:italic>\n            ,\n            <jats:italic>f<\/jats:italic>\n            <jats:sup>*<\/jats:sup>\n            , and the\n            <jats:italic>subdifferential<\/jats:italic>\n            , \u2202\n            <jats:italic>f<\/jats:italic>\n            , of a function\n            <jats:italic>f<\/jats:italic>\n            are two objects of fundamental importance in convex analysis. For this reason, software libraries or packages which have the ability to compute and manipulate such objects easily are a valuable edition to the convex analyst's toolkit. Moreover, such tools have potential pedagogical uses if one believes, as we do, that nonsmooth analysis could and should be a part of the traditional \"calculus\" cannon taught to high school and beginning Bachelor's level students.\n          <\/jats:p>","DOI":"10.1145\/3338637.3338646","type":"journal-article","created":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T12:37:11Z","timestamp":1559306231000},"page":"139-141","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Symbolic computation with monotone operators"],"prefix":"10.1145","volume":"52","author":[{"given":"Florian","family":"Lauster","sequence":"first","affiliation":[{"name":"Universit\u00e4t G\u00f6ttingen, G\u00f6ttingen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. Russell","family":"Luke","sequence":"additional","affiliation":[{"name":"Universit\u00e4t G\u00f6ttingen, G\u00f6ttingen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matthew K.","family":"Tam","sequence":"additional","affiliation":[{"name":"Universit\u00e4t G\u00f6ttingen, G\u00f6ttingen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2019,5,30]]},"reference":[{"key":"e_1_2_1_1_1","volume-title":"von Mohrenschildt","author":"Bauschke H.H.","year":"1997","unstructured":"Bauschke , H.H. , von Mohrenschildt , M. : Fenchel conjugates and subdifferentials in Maple. Tech . rep. ( 1997 ). Bauschke, H.H., von Mohrenschildt, M.: Fenchel conjugates and subdifferentials in Maple. Tech. rep. (1997)."},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/1151446.1151453"},{"key":"e_1_2_1_3_1","volume-title":"Penalty functions derived from monotone mappings","author":"Bayram I.","year":"2015","unstructured":"Bayram , I. : Penalty functions derived from monotone mappings . IEEE Signal Process. Lett . <b>22<\/b>(3), 264--268 ( 2015 ). Bayram, I.: Penalty functions derived from monotone mappings. IEEE Signal Process. Lett. <b>22<\/b>(3), 264--268 (2015)."},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-007-0134-4"},{"key":"e_1_2_1_5_1","volume-title":"Symbolic computation with monotone operators. Set-Val. Var. Anal., <b>26<\/b>:353--368","author":"Lauster F.","year":"2018","unstructured":"Lauster , F. , Luke , D.R. and Tam , M.K .: Symbolic computation with monotone operators. Set-Val. Var. Anal., <b>26<\/b>:353--368 ( 2018 ). Maple worksheets for computational examples available online together with the SCAT package at http:\/\/vaopt.math.uni-goettingen.de\/software.php. Lauster, F., Luke, D.R. and Tam, M.K.: Symbolic computation with monotone operators. Set-Val. Var. Anal., <b>26<\/b>:353--368 (2018). Maple worksheets for computational examples available online together with the SCAT package at http:\/\/vaopt.math.uni-goettingen.de\/software.php."}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3338637.3338646","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3338637.3338646","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T23:44:47Z","timestamp":1750203887000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3338637.3338646"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,5,30]]},"references-count":5,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2019,5,30]]}},"alternative-id":["10.1145\/3338637.3338646"],"URL":"https:\/\/doi.org\/10.1145\/3338637.3338646","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2019,5,30]]},"assertion":[{"value":"2019-05-30","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}