{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:31:22Z","timestamp":1761489082801,"version":"3.28.0"},"reference-count":12,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012,12]]},"DOI":"10.1109\/cdc.2012.6425994","type":"proceedings-article","created":{"date-parts":[[2013,2,8]],"date-time":"2013-02-08T22:05:08Z","timestamp":1360361108000},"page":"1871-1876","source":"Crossref","is-referenced-by-count":5,"title":["Selecting a monomial basis for sums of squares programming over a quotient ring"],"prefix":"10.1109","author":[{"given":"Frank","family":"Permenter","sequence":"first","affiliation":[]},{"given":"Pablo A.","family":"Parrilo","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2003.12.011"},{"key":"2","article-title":"Using algebraic geometry","author":"cox","year":"2005","journal-title":"Graduate Texts in Mathematics"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2003.1272305"},{"key":"1","first-page":"103","article-title":"Sums of squares of real polynomials","volume":"58","author":"choi","year":"1995","journal-title":"Proceedings of Symposia in Pure Mathematics"},{"journal-title":"Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization","year":"2000","author":"parrilo","key":"7"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1137\/060668791"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-007-9131-z"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2017144"},{"journal-title":"An Explicit Construction of Distinguished Representations of Polynomials Nonnegative over Finite Sets","year":"2002","author":"parrilo","key":"9"},{"key":"8","first-page":"580","article-title":"Exploiting algebraic structure in sum of squares programs","author":"parrilo","year":"2005","journal-title":"Positive Polynomials in Control"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1080\/10556789908805766"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1137\/050623802"}],"event":{"name":"2012 IEEE 51st Annual Conference on Decision and Control (CDC)","start":{"date-parts":[[2012,12,10]]},"location":"Maui, HI, USA","end":{"date-parts":[[2012,12,13]]}},"container-title":["2012 IEEE 51st IEEE Conference on Decision and Control (CDC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/6416474\/6425800\/06425994.pdf?arnumber=6425994","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,3,22]],"date-time":"2017-03-22T17:52:52Z","timestamp":1490205172000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6425994\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12]]},"references-count":12,"URL":"https:\/\/doi.org\/10.1109\/cdc.2012.6425994","relation":{},"subject":[],"published":{"date-parts":[[2012,12]]}}}