求对称张量Z-特征值的牛顿子空间投影方法

Newton subspace projection method is proposed for eigenvalue problems of symmetric tensors. This algorithm is based on sequential subspace projection method(SSPM). The main idea of SSPM is to construct a sequential subspace and project the original problem onto the subspace to obtain an easy two-dimensional subproblem, where the two-dimensional subspace is constructed by current iterate and the gradient. In this paper, Newton direction is used to construct a new two-dimensional subspace by replacing the gradient direction in SSPM. Preliminary numerical results over several testing problems show it is promising.