Blankinship Algorithm
المؤلف:
Blankinship, W. A.
المصدر:
"A New Version of the Euclidean Algorithm." Amer. Math. Monthly 70
الجزء والصفحة:
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19-8-2020
953
Blankinship Algorithm
A method for finding solutions 
and 
to a linear congruence
by constructing a matrix formed by adjoining a vector containing 
and 
with a unit matrix,
and applying the Euclidean algorithm to the first column, while extending the operations to all rows. The algorithm terminates when the first column contains the greatest common divisor 
.
REFERENCES:
Blankinship, W. A. "A New Version of the Euclidean Algorithm." Amer. Math. Monthly 70, 742-745, 1963.
Séroul, R. "The Blankinship Algorithm." §8.2 in Programming for Mathematicians. Berlin: Springer-Verlag, pp. 161-163, 2000.
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