In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang,Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra andits Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of theinverse subspace iteration is preserved. Manuscript profile