A practical algorithm for determining if there exist integers for given real numbers such that
Constant | Bound |
See also Constant Problem, Euclidean Algorithm, Integer Relation, PSLQ Algorithm
References
Bailey, D. H. ``Numerical Results on the Transcendence of Constants Involving , , and Euler's Constant.''
Math. Comput. 50, 275-281, 1988.
Ferguson, H. R. P. ``A Short Proof of the Existence of Vector Euclidean Algorithms.'' Proc. Amer. Math. Soc. 97, 8-10, 1986.
Ferguson, H. R. P. ``A Non-Inductive GL() Algorithm that Constructs Linear Relations for -Linearly Dependent Real Numbers.''
J. Algorithms 8, 131-145, 1987.
Ferguson, H. R. P. and Forcade, R. W. ``Generalization of the Euclidean Algorithm for Real Numbers to All Dimensions Higher than Two.''
Bull. Amer. Math. Soc. 1, 912-914, 1979.