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Numerical experiments are given to verify the theoretical results.<\/jats:p>","DOI":"10.1137\/s0036142997327063","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"186-201","source":"Crossref","is-referenced-by-count":30,"title":["A Note on the Spectra and Pseudospectra of Waveform Relaxation Operators for Linear Differential-Algebraic Equations"],"prefix":"10.1137","volume":"38","author":[{"given":"Yao-Lin","family":"Jiang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Omar","family":"Wing","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","volume-title":"Numerical solution of initial\u2010value problems in differential\u2010algebraic equations","author":"Brenan K.","year":"1996"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.1982.1270004"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/0908046"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/0377-0427(89)90044-7"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1016\/0895-7177(94)90099-X"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142992233098"},{"key":"R7","first-page":"1961","volume":"80","author":"Jiang Y. 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Reddy,\n                      Pseudospectra of Operators and Discretization Matrices and an Application to Stability of the Method of Lines\n                      , Numerical Analysis Report 91\u20104, MIT, Cambridge, MA, 1991."},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827594276035"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1137\/S106482759528778X"},{"key":"R15","unstructured":", Spectral theory of linear operators and related topics, Proceedings of the 8th international conference on operator theory held in Timi\u0161oara and in Herculane, June 6\u201316, 1983, Operator Theory: Advances and Applications, Vol. 14, Birkh\u00e4user Verlag, 1984, 306\u2013086d:47003"},{"key":"R16","unstructured":"J. Ogrodzki,\n                      Circuit Simulation Methods and Algorithms\n                      , CRC Press, London, 1994."},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1007\/BF01937277"},{"key":"R18","unstructured":"Z. Jackiewicz and B. Owren,\n                      Convergence analysis of waveform relaxation methods using pseudospectra\n                      , Numerics N2\u20101995, Department of Mathematical Sciences, University of Trondheim, Norway, 1995."},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(92)90374-J"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0036142997327063","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:45:40Z","timestamp":1787327140000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0036142997327063"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,1]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2000,1]]}},"alternative-id":["10.1137\/S0036142997327063"],"URL":"https:\/\/doi.org\/10.1137\/s0036142997327063","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,1]]}}}