利用谱投影梯度法计算张量M-特征值

• 作者: 赵娜
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 年，卷（期）: 2017,（4）
• 页码范围: 316-330
• 页数: 15页
• 分类号: O22
• 语种: 中文

摘要

In this paper,we present the connection between the M-eigenvalues of a fourth-order partially symmetric rectangular tensor and the Z-eigenvalues of a new fourth-order weakly symmetric square tensor by using the symmetric embedding technique.Based on this,the M-eigenvalue problem can be converted to be the Z-eigenvalue problem.Then we compute the M-eigenpairs by the spectral projected gradient(SPG) method that is for computing the Z-eigenpairs.Some numerical results are reported at the end of this paper.