A Multilinear Singular Value Decomposition
SIAM Journal on Matrix Analysis and Applications
On the Best Rank-1 and Rank-(R1,R2,. . .,RN) Approximation of Higher-Order Tensors
SIAM Journal on Matrix Analysis and Applications
Rank-One Approximation to High Order Tensors
SIAM Journal on Matrix Analysis and Applications
On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
SIAM Journal on Matrix Analysis and Applications
Multivariate Polynomial Minimization and Its Application in Signal Processing
Journal of Global Optimization
D-eigenvalues of diffusion kurtosis tensors
Journal of Computational and Applied Mathematics
Z-eigenvalue methods for a global polynomial optimization problem
Mathematical Programming: Series A and B
New criteria for identifying H-matrices
Journal of Computational and Applied Mathematics
Finding the Largest Eigenvalue of a Nonnegative Tensor
SIAM Journal on Matrix Analysis and Applications
Eigenvalues of a real supersymmetric tensor
Journal of Symbolic Computation
An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
Journal of Computational and Applied Mathematics
Further Results for Perron-Frobenius Theorem for Nonnegative Tensors
SIAM Journal on Matrix Analysis and Applications
Further Results for Perron-Frobenius Theorem for Nonnegative Tensors II
SIAM Journal on Matrix Analysis and Applications
Hi-index | 7.29 |
The positive definiteness of an even-degree homogeneous polynomial form f(x) plays an important role in the stability study of nonlinear autonomous systems via Lyapunov's direct method in automatic control, and the positive definiteness of f(x) is equivalent to that of an even-order supersymmetric tensor which defines f(x). In this paper, we provide some criterions for identifying the positive definiteness of an even-order real supersymmetric tensor. Moreover, an iterative algorithm for identifying the positive definiteness of an even-order real supersymmetric tensor is obtained. Numerical examples are given to verify the corresponding results.