{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T08:18:15Z","timestamp":1776932295878,"version":"3.51.2"},"reference-count":30,"publisher":"American Mathematical Society (AMS)","issue":"253","license":[{"start":{"date-parts":[[2006,8,31]],"date-time":"2006-08-31T00:00:00Z","timestamp":1156982400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"

\n We present new algorithms for computing the values of the Schur\n \n \n \n \n \n s<\/mml:mi>\n \n \u03bb\n \n <\/mml:mi>\n <\/mml:msub>\n (<\/mml:mo>\n \n x<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n ,<\/mml:mo>\n \n x<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n ,<\/mml:mo>\n \n \u2026\n \n <\/mml:mo>\n ,<\/mml:mo>\n \n x<\/mml:mi>\n n<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:mrow>\n s_\\lambda (x_1,x_2,\\ldots ,x_n)<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n and Jack\n \n \n \n \n \n J<\/mml:mi>\n \n \u03bb\n \n <\/mml:mi>\n \n \u03b1\n \n <\/mml:mi>\n <\/mml:msubsup>\n (<\/mml:mo>\n \n x<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n ,<\/mml:mo>\n \n x<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n ,<\/mml:mo>\n \n \u2026\n \n <\/mml:mo>\n ,<\/mml:mo>\n \n x<\/mml:mi>\n n<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:mrow>\n J_\\lambda ^\\alpha (x_1,x_2,\\ldots ,x_n)<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n functions in floating point arithmetic. These algorithms deliver guaranteed high relative accuracy for positive data (\n \n \n \n \n \n x<\/mml:mi>\n i<\/mml:mi>\n <\/mml:msub>\n ,<\/mml:mo>\n \n \u03b1\n \n <\/mml:mi>\n ><\/mml:mo>\n 0<\/mml:mn>\n <\/mml:mrow>\n x_i, \\alpha >0<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n ) and run in time that is only linear in\n \n \n \n n<\/mml:mi>\n n<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n .\n <\/p>","DOI":"10.1090\/s0025-5718-05-01780-1","type":"journal-article","created":{"date-parts":[[2005,11,16]],"date-time":"2005-11-16T10:22:35Z","timestamp":1132136555000},"page":"223-239","source":"Crossref","is-referenced-by-count":24,"title":["Accurate and efficient evaluation of Schur and Jack functions"],"prefix":"10.1090","volume":"75","author":[{"given":"James","family":"Demmel","sequence":"first","affiliation":[]},{"given":"Plamen","family":"Koev","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2005,8,31]]},"reference":[{"key":"1","unstructured":"P.-A. 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