{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,12]],"date-time":"2023-09-12T05:10:23Z","timestamp":1694495423403},"reference-count":13,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2005,7,8]],"date-time":"2005-07-08T00:00:00Z","timestamp":1120780800000},"content-version":"vor","delay-in-days":3721,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numerical Linear Algebra App"],"published-print":{"date-parts":[[1995,5]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We consider the problem of reconstructing Jacobi matrices and real symmetric arrow matrices from two eigenpairs. Algorithms for solving these inverse problems are presented. We show that there are reasonable conditions under which this reconstruction is always possible. Moreover, it is seen that in certain cases reconstruction can proceed with little or no cancellation. The algorithm is particularly elegant for the tridiagonal matrix associated with a bidiagonal singular value decomposition.<\/jats:p>","DOI":"10.1002\/nla.1680020302","type":"journal-article","created":{"date-parts":[[2005,10,14]],"date-time":"2005-10-14T19:46:18Z","timestamp":1129319178000},"page":"195-203","source":"Crossref","is-referenced-by-count":14,"title":["Some inverse eigenproblems for Jacobi and arrow matrices"],"prefix":"10.1002","volume":"2","author":[{"given":"Carlos F.","family":"Borges","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ruggero","family":"Frezza","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"William B.","family":"Gragg","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2005,7,8]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1137\/0614042"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.2307\/2007564"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0321-6_4"},{"key":"e_1_2_1_5_2","first-page":"11","volume-title":"Numerical Linear Algebra and Scientific Computing","author":"Borges C. F.","year":"1993"},{"key":"e_1_2_1_6_2","first-page":"77","article-title":"A divide and conquer method for the symmetric tridiagonal eigenproblem","volume":"36","author":"Cuppen J. J. M.","year":"1981","journal-title":"Numerische Mathematik"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(93)90213-8"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1137\/0908018"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1137\/0702016"},{"key":"e_1_2_1_10_2","first-page":"49","volume-title":"Modeling and Simulation","author":"Gragg W. B.","year":"1992"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1137\/S089547989223924X"},{"key":"e_1_2_1_12_2","volume-title":"The Symmetric Eigenvalue Problem","author":"Parlett B.","year":"1980"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389758"},{"key":"e_1_2_1_14_2","volume-title":"The Algebraic Eigenvalue Problem","author":"Wilkinson J. H.","year":"1965"}],"container-title":["Numerical Linear Algebra with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fnla.1680020302","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/nla.1680020302","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,11]],"date-time":"2023-09-11T02:39:42Z","timestamp":1694399982000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/nla.1680020302"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,5]]},"references-count":13,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1995,5]]}},"alternative-id":["10.1002\/nla.1680020302"],"URL":"https:\/\/doi.org\/10.1002\/nla.1680020302","archive":["Portico"],"relation":{},"ISSN":["1070-5325","1099-1506"],"issn-type":[{"value":"1070-5325","type":"print"},{"value":"1099-1506","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,5]]}}}