【摘 要】
：
Identifying the positive definiteness of an even-order homogeneous multivariate form is an important task due to its wide applications in such as medical im
【机 构】
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QufuNormalUniversity
【出 处】
：
2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
论文部分内容阅读
Identifying the positive definiteness of an even-order homogeneous multivariate form is an important task due to its wide applications in such as medical imaging and the stability analysis of nonlinear autonomous systems via Lyapunovs direct method in au-tomatic control and multivariate network realizability analysis. In this paper, based on the equivalence of the positive definiteness of the form to that of the underlying ten-sor, and the links between the positive definiteness of a tensor with strong H-tensor, we propose an H-tensor based iterative scheme for identifying the positive definiteness of multivariate homogeneous forms. The validity of the iterative scheme is guaranteed theoretically and the given numerical experiments show the effciency of the scheme.
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