Euclidean Algorithm and Hankel Matrices
E. E. Tyrtyshnikov, Theodore E. Simos, George Psihoyios, Ch. Tsitouras · AIP conference proceedings · 2007
New relations are established between continued fractions and Hankel matrices. In particular, they explain why the Euclidean algorithm works correctly for picking up a nontrivial vector from the nullspace of a Hankel matrix.