{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T16:21:02Z","timestamp":1759940462937},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2009]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We are concerned with the computation of eigenvalues of singular nonselfadjoint\nSturm \u2014 Liouville problems by the method of determinants. The representation\nof a differential operator by an infinite matrix allows the use of Lidskii\u2019s theorem\nto define its determinant. The finite section is then used to compute eigenvalues in a\nsimple way. This direct method borrows stable methods from numerical linear algebra\nto compute a large number of eigenvalues with high precision. Numerical examples\nwith nondifferentiable and complex valued coefficients are treated at the end.<\/jats:p>","DOI":"10.2478\/cmam-2009-0007","type":"journal-article","created":{"date-parts":[[2013,4,15]],"date-time":"2013-04-15T16:17:51Z","timestamp":1366042671000},"page":"113-122","source":"Crossref","is-referenced-by-count":2,"title":["The Determinant Method for Nonselfadjoint Singular Sturm \u2014 Liouville Problems"],"prefix":"10.2478","volume":"9","author":[{"given":"A.","family":"Boumenir","sequence":"first","affiliation":[{"name":"1Department of Mathematics, University of West Georgia, Carrollton, GA 30118, USA."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/2\/article-p113.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2009-0007\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:23Z","timestamp":1619101283000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/2\/article-p113.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"references-count":0,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2009-0007","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2009]]}}}