A Levenberg-Marquardt method for solving semi-symmetric tensor equations

作者：Lv, Chang-Qing; Ma, Chang-Feng^*

来源：Journal of Computational and Applied Mathematics, 2018, 332: 13-25.

DOI：10.1016/j.cam.2017.10.005

• Tensor equation
• LM method
• H-eigenvalue
• Semi-symmetric tensor
• Convergence analysis

In this paper, we propose a Levenberg-Marquardt (LM) method for solving tensor equations with semi-symmetric coefficient tensor and prove its global convergence and local quadratic convergence under the local error bound condition, which is weaker than non singularity. As application, we solve H-eigenvalue of real semi-symmetric tensor by the LM method. At last, some numerical examples are provided to illustrate the efficiency and validity of these methods proposed.

• 出版日期2018-4
• 单位福建师范大学; 枣庄学院