An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor

作者：Liu Yongjun; Zhou Guanglu^*; Ibrahim Nur Fadhilah

来源：Journal of Computational and Applied Mathematics, 2010, 235(1): 286-292.

DOI：10.1016/j.cam.2010.06.002

• Eigenvalue
• Nonnegative tensor
• Iterative method
• Convergence
• Positive definiteness

In this paper we propose an iterative method to calculate the largest eigenvalue of a nonnegative tensor. We prove this method converges for any irreducible nonnegative tensor. We also apply this method to study the positive definiteness of a multivariate form.

• 出版日期2010-11-1
• 单位临沂大学