{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T02:53:59Z","timestamp":1723085639230},"reference-count":14,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2010,10,11]],"date-time":"2010-10-11T00:00:00Z","timestamp":1286755200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numerical Linear Algebra App"],"published-print":{"date-parts":[[2011,3]]},"abstract":"Abstract<\/jats:title>This paper is motivated by some recent work of Fukuda, Ishiwata, Iwasaki, and Nakamura (Inverse Problems<\/jats:italic> 2009; 25<\/jats:bold>:015007). We first design an algorithm for computing the eigenvalues of a specially structured matrix from the discrete Bogoyavlensky Lattice 2 (dBL2) system. A Lax representation for the dBL2 system is given in a matrix form. By considering the asymptotic behavior of dBL2 variables, some characteristic polynomials are then factorized. A new algorithm for computing the complex eigenvalues of a specially structured matrix is then introduced. Copyright \u00a9 2010 John Wiley & Sons, Ltd.<\/jats:p>","DOI":"10.1002\/nla.754","type":"journal-article","created":{"date-parts":[[2010,10,11]],"date-time":"2010-10-11T10:06:18Z","timestamp":1286791578000},"page":"261-274","source":"Crossref","is-referenced-by-count":4,"title":["Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix"],"prefix":"10.1002","volume":"18","author":[{"given":"Jian\u2010Qing","family":"Sun","sequence":"first","affiliation":[]},{"given":"Xing\u2010Biao","family":"Hu","sequence":"additional","affiliation":[]},{"given":"Hon\u2010Wah","family":"Tam","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2010,10,11]]},"reference":[{"key":"e_1_2_8_2_2","volume-title":"Applied Integrable Systems","author":"Nakamura Y","year":"2000"},{"key":"e_1_2_8_3_2","volume-title":"Functionality of Integrable Systems","author":"Nakamura Y","year":"2006"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492906340019"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(93)90658-M"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(95)00865-9"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1137\/S106482759631408X"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(82)90069-0"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.66.283"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/17\/1\/305"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/18\/6\/309"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/20\/2\/015"},{"key":"e_1_2_8_13_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.531611"},{"key":"e_1_2_8_14_2","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/25\/1\/015007"},{"key":"e_1_2_8_15_2","first-page":"1","volume-title":"Applied Integrable Systems","author":"Tsujimoto S","year":"2000"}],"container-title":["Numerical Linear Algebra with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fnla.754","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/nla.754","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T03:59:15Z","timestamp":1694577555000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/nla.754"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,10,11]]},"references-count":14,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2011,3]]}},"alternative-id":["10.1002\/nla.754"],"URL":"https:\/\/doi.org\/10.1002\/nla.754","archive":["Portico"],"relation":{},"ISSN":["1070-5325","1099-1506"],"issn-type":[{"value":"1070-5325","type":"print"},{"value":"1099-1506","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,10,11]]}}}