We present a special PVT algorithm through using the PVD-direction toconstruct the PVT-transformation matrix on basis of the PVT algorithm which wasput forward by Fukushima in 1998 and we prove the convergence of the algrithm.

• 利用PVD 算法中的PVD-方向来构造PVT-变换阵；得到一个特殊的PVT算法；并且证明了算法的收敛性.