{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:55Z","timestamp":1740134575791,"version":"3.37.3"},"reference-count":20,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71161020","11361074","2012CG017"],"award-info":[{"award-number":["71161020","11361074","2012CG017"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71161020","11361074","2012CG017"],"award-info":[{"award-number":["71161020","11361074","2012CG017"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Foundation of Yunnan University","award":["71161020","11361074","2012CG017"],"award-info":[{"award-number":["71161020","11361074","2012CG017"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>By applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally and doubly diagonally dominant degree of the Schur complement of Ostrowski matrix are obtained, which improve the main results of Liu and Zhang (2005) and Liu et al. (2012). As an application, we present new inclusion regions for eigenvalues of the Schur complement of Ostrowski matrix. In addition, a new upper bound for the infinity norm on the inverse of the Schur complement of Ostrowski matrix is given. Finally, we give numerical examples to illustrate the theory results.<\/jats:p>","DOI":"10.1155\/2013\/973152","type":"journal-article","created":{"date-parts":[[2013,10,2]],"date-time":"2013-10-02T21:06:59Z","timestamp":1380748019000},"page":"1-10","source":"Crossref","is-referenced-by-count":0,"title":["The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix"],"prefix":"10.1155","volume":"2013","author":[{"given":"Jianxing","family":"Zhao","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Feng","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, China"},{"name":"Department of Mathematics, Heze University, Heze, Shandong 274015, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yaotang","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2008.11.037"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2012.02.001"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511840371"},{"issue":"2","key":"1","doi-asserted-by":"crossref","first-page":"246","DOI":"10.21136\/CMJ.1979.101601","volume":"29","year":"1979","journal-title":"Czechoslovak Mathematical Journal"},{"key":"6","first-page":"91","volume":"2","year":"1989","journal-title":"Moscow University Computational Mathematics and Cybernetics"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(96)00406-5"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2007.09.008"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2003.09.012"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2004.04.012"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2009.10.021"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.12.063"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1137\/040620369"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.02.038"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(92)90321-Z"},{"year":"2005","key":"20"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971446"},{"volume":"18","year":"1996","key":"4"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0599-9"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2006.01.013"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2006.08.013"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/973152.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/973152.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/973152.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,7]],"date-time":"2022-03-07T19:07:31Z","timestamp":1646680051000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/973152\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":20,"alternative-id":["973152","973152"],"URL":"https:\/\/doi.org\/10.1155\/2013\/973152","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}