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# Optimization problem

1. ### flying

1
Hi, I have an optimization problem using tensor representation.

$$max_b A \times_1 b \times_2 b \times_3 b$$
$$s.t. b^T b = 1$$

where $$A$$ is an $$n \times n \times n$$ tensor. $$b$$ is an $$n \times 1$$ vector. In the 2D case, I know the solution to $$b$$ is the eigenvector corresponding to the maximum eigenvalue of $$A$$. Is there any similar property in the 3D case?

thanks!

Last edited: Mar 22, 2006