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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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