{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T07:53:58Z","timestamp":1773820438917,"version":"3.50.1"},"reference-count":33,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. &amp; Appl."],"published-print":{"date-parts":[[2005,1]]},"DOI":"10.1137\/040612117","type":"journal-article","created":{"date-parts":[[2005,12,26]],"date-time":"2005-12-26T21:00:19Z","timestamp":1135630819000},"page":"638-653","source":"Crossref","is-referenced-by-count":9,"title":["On the Complexity of the Preconditioned Conjugate Gradient Algorithm for Solving Toeplitz Systems with a Fisher--Hartwig Singularity"],"prefix":"10.1137","volume":"27","author":[{"given":"Yi","family":"Lu","sequence":"first","affiliation":[]},{"given":"Clifford M.","family":"Hurvich","sequence":"additional","affiliation":[]}],"member":"351","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0609005"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719253"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389448"},{"key":"R4","volume-title":"Statistics for long\u2010memory processes","author":"Beran Jan","year":"1994"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1002\/0471722235"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(98)00015-9"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1426-7"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-0320-4"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1137\/0610039"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144594276474"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1137\/0910009"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1992-1106960-1"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1137\/0729066"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142999354083"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1137\/0909051"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1109\/78.134471"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9892.00099"},{"key":"R20","first-page":"190","volume":"32","author":"Fisher M. E.","year":"1968","journal-title":"Adv. Chem. Phys.","ISSN":"https:\/\/id.crossref.org\/issn\/0065-2385","issn-type":"print"},{"key":"R21","volume-title":"Matrix computations","author":"Golub Gene","year":"1996"},{"key":"R22","volume-title":"Toeplitz forms and their applications","author":"Grenander Ulf","year":"1984"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511810817"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9892.00075"},{"key":"R26","volume-title":"Summation of series","author":"Jolley L.","year":"1961"},{"key":"R27","volume-title":"The spectral analysis of time series","author":"Koopmans L.","year":"1974"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1063\/1.526133"},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(97)00067-0"},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1018031103"},{"key":"R33","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050413"},{"key":"R34","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(98)80014-1"},{"key":"R35","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(98)80002-5"},{"key":"R36","doi-asserted-by":"publisher","DOI":"10.1007\/BF02575833"},{"key":"R37","doi-asserted-by":"publisher","DOI":"10.1002\/sapm1986742171"},{"key":"R38","doi-asserted-by":"publisher","DOI":"10.2307\/2373789"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/040612117","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,10,2]],"date-time":"2017-10-02T12:05:44Z","timestamp":1506945944000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/040612117"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,1]]},"references-count":33,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2005,1]]}},"alternative-id":["10.1137\/040612117"],"URL":"https:\/\/doi.org\/10.1137\/040612117","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,1]]}}}