{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T12:05:45Z","timestamp":1759838745221},"reference-count":21,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>Some iterative methods are introduced and demonstrated for finding the matrix sign function. It is analytically shown that the new schemes are asymptotically stable. Convergence analysis along with the error bounds of the main proposed method is established. Different numerical experiments are employed to compare the behavior of the new schemes with the existing matrix iterations of the same type.<\/jats:p>","DOI":"10.1155\/2014\/425654","type":"journal-article","created":{"date-parts":[[2014,7,9]],"date-time":"2014-07-09T21:03:32Z","timestamp":1404939812000},"page":"1-9","source":"Crossref","is-referenced-by-count":14,"title":["Some Matrix Iterations for Computing Matrix Sign Function"],"prefix":"10.1155","volume":"2014","author":[{"given":"F.","family":"Soleymani","sequence":"first","affiliation":[{"name":"Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E.","family":"Tohidi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Shateyi","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Applied Mathematics, School of Mathematical and Natural Sciences, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F. Khaksar","family":"Haghani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-007-9143-x"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(94)90031-0"},{"issue":"3","key":"16","first-page":"245","volume":"7","year":"2013","journal-title":"Serdica Journal of Computing"},{"key":"18","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1134\/S0005117908020033","volume":"69","year":"2008","journal-title":"Automation and Remote Control"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1155\/2009\/170724"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717778"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(83)90104-0"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-004-6709-8"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1002\/nla.786"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1137\/0612020"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2011.04.016"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/9.402226"},{"key":"19","volume-title":"A secant method for the matrix sign function","year":"2009"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.11.015"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/301718"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-014-0124-0"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2010.02.006"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1155\/2011\/469512"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1137\/070694351"},{"key":"25","year":"2006"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1364\/OE.20.000017"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/425654.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/425654.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/425654.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T16:27:42Z","timestamp":1498148862000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/425654\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":21,"alternative-id":["425654","425654"],"URL":"https:\/\/doi.org\/10.1155\/2014\/425654","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}