{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T18:52:05Z","timestamp":1776797525192,"version":"3.51.2"},"reference-count":2,"publisher":"American Mathematical Society (AMS)","issue":"296","license":[{"start":{"date-parts":[[2016,5,26]],"date-time":"2016-05-26T00:00:00Z","timestamp":1464220800000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    There is a gap in the proof of Theorem 3.3 in our paper named above. A careful estimate of the constant\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper C Subscript h Baseline left-parenthesis mu right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi>C<\/mml:mi>\n                              <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                                <mml:mi>h<\/mml:mi>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mi>\n                              \u03bc\n                              \n                            <\/mml:mi>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">C_{h}(\\mu )<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    in Lemma 3.1 is needed for the error estimates of the two-grid method to hold. In this erratum, we provide a corrected version of the proof.\n                  <\/p>","DOI":"10.1090\/mcom\/2967","type":"journal-article","created":{"date-parts":[[2015,5,26]],"date-time":"2015-05-26T08:22:17Z","timestamp":1432628537000},"page":"2701-2704","source":"Crossref","is-referenced-by-count":6,"title":["Corrigendum to: \u201cAcceleration of a two-grid method for eigenvalue problems\u201d"],"prefix":"10.1090","volume":"84","author":[{"given":"Xiaozhe","family":"Hu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaoliang","family":"Cheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2015,5,26]]},"reference":[{"issue":"275","key":"1","doi-asserted-by":"publisher","first-page":"1287","DOI":"10.1090\/S0025-5718-2011-02458-0","article-title":"Acceleration of a two-grid method for eigenvalue problems","volume":"80","author":"Hu, Xiaozhe","year":"2011","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"issue":"4","key":"2","doi-asserted-by":"publisher","first-page":"1602","DOI":"10.1137\/100810241","article-title":"Two-grid finite element discretization schemes based on shifted-inverse power method for elliptic eigenvalue problems","volume":"49","author":"Yang, Yidu","year":"2011","journal-title":"SIAM J. Numer. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0036-1429","issn-type":"print"}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/2015-84-296\/S0025-5718-2015-02967-6\/S0025-5718-2015-02967-6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/2015-84-296\/S0025-5718-2015-02967-6\/S0025-5718-2015-02967-6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T18:33:00Z","timestamp":1776796380000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/2015-84-296\/S0025-5718-2015-02967-6\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,26]]},"references-count":2,"journal-issue":{"issue":"296","published-print":{"date-parts":[[2015,11]]}},"alternative-id":["S0025-5718-2015-02967-6"],"URL":"https:\/\/doi.org\/10.1090\/mcom\/2967","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6842","0025-5718"],"issn-type":[{"value":"1088-6842","type":"electronic"},{"value":"0025-5718","type":"print"}],"subject":[],"published":{"date-parts":[[2015,5,26]]}}}