摘要

This paper proposes an iterative algorithm for solving a general finite-dimensional linear operator equation T(x) = f and demonstrates that it will get the exact solution within a finite number of iteration steps. This algorithm unifies all the iterative methods in Huang et al. (2008) [3], Peng (2005) [7] and Peng and Peng (2006) [8] and provides an iterative method for solving an inverse problem related to Hermitian-generalized Hamiltonian matrices [2,12].