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A preconditioning projection algorithm is proposed with some numerical tests.<\/jats:p>","DOI":"10.1137\/070679703","type":"journal-article","created":{"date-parts":[[2008,5,12]],"date-time":"2008-05-12T09:52:42Z","timestamp":1210585962000},"page":"2254-2275","source":"Crossref","is-referenced-by-count":125,"title":["A Legendre\u2013Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations"],"prefix":"10.1137","volume":"46","author":[{"given":"Yanping","family":"Chen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nianyu","family":"Yi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wenbin","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,5,9]]},"reference":[{"key":"R1","unstructured":"R.A. 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