{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,18]],"date-time":"2026-08-18T01:38:22Z","timestamp":1787017102554,"version":"3.56.0"},"reference-count":37,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2011,1]]},"DOI":"10.1137\/100813257","type":"journal-article","created":{"date-parts":[[2011,9,20]],"date-time":"2011-09-20T18:21:58Z","timestamp":1316542918000},"page":"1875-1898","source":"Crossref","is-referenced-by-count":89,"title":["Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation"],"prefix":"10.1137","volume":"49","author":[{"given":"V.","family":"Druskin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"L.","family":"Knizhnerman","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"V.","family":"Simoncini","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","reference":[{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/080741744"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.08.108"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2006.10.013"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1145\/1377612.1377618"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895292400"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1137\/080742403"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1137\/090774082"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2011.04.013"},{"key":"R14","first-page":"21","volume":"10","author":"Dzhrbashyan M. M.","year":"1957","journal-title":"Izv. AN Arm. SSR, ser. fiz.-matem. n."},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1137\/0720069"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1137\/0728045"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1006\/jath.1999.3400"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1007\/BF02141740"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(03)00648-7"},{"key":"R24","first-page":"623","volume":"7","author":"Gonchar A. A.","year":"1969","journal-title":"Mathem. Digest (Matem. Sbornik)"},{"key":"R25","first-page":"131","volume":"34","author":"Gonchar A. A.","year":"1978","journal-title":"Mathem. Digest (Matem. Sbornik)"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1137\/060666123"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1023\/A:1022205420182"},{"key":"R30","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479893250740"},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1137\/0731012"},{"key":"R32","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2009.12.025"},{"key":"R33","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-9274(98)00094-4"},{"key":"R34","first-page":"141","volume":"3","author":"Knizhnerman L.","year":"2002","journal-title":"Chebyshevski Sbornik"},{"key":"R36","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-011-0366-3"},{"key":"R37","first-page":"53","volume":"11","author":"Kocharyan G. S.","year":"1958","journal-title":"Izv. AN Arm. SSR, ser. fiz.-matem. n."},{"key":"R38","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479801384937"},{"key":"R39","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(91)90124-M"},{"key":"R43","first-page":"137","volume":"198","author":"Oseledets I. V.","year":"2007","journal-title":"Sb. Math., 198 (2007), pp. 425\u2013432. Also in Matem. Sbornik"},{"key":"R44","doi-asserted-by":"publisher","DOI":"10.1137\/0103003"},{"key":"R45","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827598347666"},{"key":"R47","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(84)90221-0"},{"key":"R51","doi-asserted-by":"publisher","DOI":"10.1137\/070699378"},{"key":"R52","doi-asserted-by":"publisher","DOI":"10.1137\/06066120X"},{"key":"R54","first-page":"274","volume":"22","author":"Suetin S. P.","year":"1980","journal-title":"Soviet Math Dokl.","ISSN":"https:\/\/id.crossref.org\/issn\/0197-6788","issn-type":"print"},{"key":"R55","doi-asserted-by":"crossref","first-page":"129","DOI":"10.4099\/jjm1924.2.0_129","volume":"2","author":"Takenaka S.","year":"1925","journal-title":"Japan. J. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0075-3432","issn-type":"print"},{"key":"R56","doi-asserted-by":"publisher","DOI":"10.1007\/BF02575706"},{"key":"R57","doi-asserted-by":"publisher","DOI":"10.1016\/0893-9659(88)90183-8"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/100813257","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,15]],"date-time":"2019-06-15T23:33:38Z","timestamp":1560641618000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/100813257"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":37,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1137\/100813257"],"URL":"https:\/\/doi.org\/10.1137\/100813257","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1]]}}}