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In this paper, we shall generalize the technique to the eigenvalue problem for matrix polynomials. Multiple eigenvalues for monic as well as regular matrix polynomials will be considered.<\/jats:p>","DOI":"10.1137\/s0895479802217928","type":"journal-article","created":{"date-parts":[[2003,11,17]],"date-time":"2003-11-17T21:00:45Z","timestamp":1069102845000},"page":"551-573","source":"Crossref","is-referenced-by-count":19,"title":["Perturbation of Eigenvalues for Matrix Polynomials via The Bauer--Fike Theorems"],"prefix":"10.1137","volume":"25","author":[{"given":"Eric King-wah","family":"Chu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01386217"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389736"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/0724073"},{"key":"R4","unstructured":"E. K.\u2010W. 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