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Nonetheless, in some cases, a well-implemented series expansion technique outperformed the other methods. We have also analyzed and implemented a novel method to estimate the Frechet derivative of the log, which proved very successful for condition estimation.<\/jats:p>","DOI":"10.1137\/s0895479894273614","type":"journal-article","created":{"date-parts":[[2005,2,27]],"date-time":"2005-02-27T07:15:07Z","timestamp":1109488507000},"page":"570-593","source":"Crossref","is-referenced-by-count":54,"title":["Computational Techniques for Real Logarithms of Matrices"],"prefix":"10.1137","volume":"17","author":[{"given":"Luca","family":"Dieci","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Benedetta","family":"Morini","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alessandra","family":"Papini","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2012,2,17]]},"reference":[{"key":"RAS","volume-title":"Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables","author":"Abramowitz M.","year":"1972"},{"key":"RBG-M","volume-title":"Pad\u00e9 approximants. 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