Derived equivalence as iterated tilting

Let A and B be two finite dimensional algebras derived equivalent to a conn ected hereditary noetherian category H with a tilting complex. We prove tha t there exists a sequence of finite dimensional algebras Lambda (0), Lambda (1),..., Lambda (m), and tilting modules T-Lambda0, T-Lambda1,..., T-Lambd am 1, m greater than or equal to 1, such that Lambda (0) = A, Lambda (m) = B, and Lambda (t+1) = End T-A, for 0 less than or equal to i < m.