On the Solution of Skew-Symmetric Shifted Linear Systems

In this paper we consider the problem of solving a sequence of linear systems with coefficient matrix A(alpha) = I + alpha A (or A(alpha) = alpha I + A), where a is a real paramater and A is skew-symmetric matrix. We propose to solve this problem exploiting the structure of the Schur decomposition of the skew-symmetric matrix and computing the Singular Value Decomposition of a bidiagonal matrix of halved size