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Moreover, we consider the infinite system of linear algebraic equations Ax = b and characterize the (bounded) matrices A for which the Kaczmarz algorithm always converges to a solution. <\/jats:p>","DOI":"10.1142\/s0219691313500367","type":"journal-article","created":{"date-parts":[[2013,7,15]],"date-time":"2013-07-15T01:43:57Z","timestamp":1373852637000},"page":"1350036","source":"Crossref","is-referenced-by-count":8,"title":["KACZMARZ ALGORITHM AND FRAMES"],"prefix":"10.1142","volume":"11","author":[{"given":"WOJCIECH","family":"CZAJA","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Maryland, College Park, MD 20742, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JAMES H.","family":"TANIS","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Rice University, Houston, TX 77251, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2013,9,30]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691310003377"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691312500324"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(70)90110-4"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-12-174590-5.50020-4"},{"key":"rf5","unstructured":"J. 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