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Under some mild assumptions, our results indicate that our method is fourth\u2010order convergent. The numerical implementation proves the effectiveness of the proposed method.<\/jats:p>","DOI":"10.1155\/jama\/3807841","type":"journal-article","created":{"date-parts":[[2025,12,26]],"date-time":"2025-12-26T11:43:38Z","timestamp":1766749418000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Fourth\u2010Order Ulm\u2010Type Method for Inverse Eigenvalue Problems"],"prefix":"10.1155","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2562-7558","authenticated-orcid":false,"given":"Xin","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4877-5115","authenticated-orcid":false,"given":"Wei","family":"Ma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,12,26]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479803430680"},{"key":"e_1_2_9_2_2","volume-title":"Lecture Notes in Comput. 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