The algebraic unknotting number of a knot K in S^3 is defined as the algebraic unknotting number of the S-equivalence class of a Seifert matrix of K. The algebraic unknotting number of an element in an S-equivalent class is defined as the minimum number of algebraic unknotting operations necessary to transform the element to the S-equivalence class of the zero matrix.

Seifert matrix | unknotting number