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MR1855508 (2002h:65055) 65F15 (15A23 65G50 68Q25 68W40)
Demmel, James; Koev, Plamen Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices. Structured matrices in mathematics, computer science, and engineering, II (Boulder, CO, 1999), 117–143, Contemp. Math., 281, Amer. Math. Soc., Providence, RI, 2001.
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