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We show that the ADI iterative method is well suited for the solution of these Sylvester\u2019s equations, and illustrate this with computed examples for the case when the image is described by a separable first-order Markov process. We also consider generalizations of the ADI iterative method, propose new algorithms for the generation of iteration parameters, and illustrate the competitiveness of these schemes.<\/jats:p>","DOI":"10.1137\/s0895479894273687","type":"journal-article","created":{"date-parts":[[2005,2,27]],"date-time":"2005-02-27T07:15:07Z","timestamp":1109488507000},"page":"165-186","source":"Crossref","is-referenced-by-count":165,"title":["Application of ADI Iterative Methods to the Restoration of Noisy Images"],"prefix":"10.1137","volume":"17","author":[{"given":"D.","family":"Calvetti","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"L.","family":"Reichel","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2012,2,17]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90701-5"},{"key":"R2","volume-title":"Digital Image Restoration","author":"Andrews H. 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