{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:33:58Z","timestamp":1787337238763,"version":"build-2736575974"},"reference-count":13,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2001,1]]},"abstract":"<jats:p>We show how to find a symmetric Toeplitz matrix whose eigenvalues are close to a specified target set of n real numbers.<\/jats:p>","DOI":"10.1137\/s106482759935561x","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"2239-2255","source":"Crossref","is-referenced-by-count":2,"title":["Initial Values for the Inverse Toeplitz Eigenvalue Problem"],"prefix":"10.1137","volume":"22","author":[{"given":"Dirk","family":"Laurie","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,25]]},"reference":[{"key":"R1","unstructured":"M. Abramowitz and I. A. Stegun, eds.\n                      Handbook of Mathematical Functions\n                      , National Bureau of Standards, Washington, D. C., 1964."},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(76)90101-4"},{"key":"R3","unstructured":"M. T. Chu,\n                      On a Newton Method for the Inverse Toeplitz Eigenvalue Problem\n                      , manuscript; available from http:\/\/www4.ncsu.edu\/\u02dcmtchu\/Research\/Papers\/itep.ps."},{"key":"R4","unstructured":"M. T. Chu and K. R. Driessel,\n                      Can Real Symmetric Toeplitz Matrices Have Arbitrary Real Spectra?\n                      , Technical Report 88\u20101, Department of Mathematics, Idaho State University, Pocatello, ID, 1989."},{"key":"R5","unstructured":"P. J. Davis,\n                      Circulant Matrices\n                      , Wiley, New York, 1979."},{"key":"R6","doi-asserted-by":"crossref","unstructured":"P. Delsarte, Y. Genin, Spectral properties of finite Toeplitz matrices, Lecture Notes in Control and Inform. Sci., Vol. 58, Springer, London, 1984, 194\u201321386k:15003","DOI":"10.1007\/BFb0031053"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1137\/0614023"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-1994-1234570-6"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1137\/0909026"},{"key":"R10","doi-asserted-by":"publisher","unstructured":"Dirk Laurie, Solving the inverse eigenvalue problem via the eigenvector matrix, Proceedings of the Fourth International Congress on Computational and Applied Mathematics (Leuven, 1990), Vol. 35, 1991, 277\u201328910.1016\/0377-0427(91)90214-51124898","DOI":"10.1016\/0377-0427(91)90214-5"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(93)90256-N"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827595280673"},{"key":"R13","unstructured":"A. Zanna,\n                      On the Numerical Solution of Isospectral Flows\n                      , Ph.D. thesis, University of Cambridge, Cambridge, UK, 1998."}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S106482759935561X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:51:40Z","timestamp":1787334700000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S106482759935561X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1]]},"references-count":13,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["10.1137\/S106482759935561X"],"URL":"https:\/\/doi.org\/10.1137\/s106482759935561x","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,1]]}}}