Name
Title | ||
|---|---|---|
An Iterative Scheme For Testing The Positive Definiteness Of Multivariate Homogeneous Forms* |
Abstract | ||
|---|---|---|
A positive-definite homogeneous multivariate form plays a critical role in the medical imaging and automatic control, and the definiteness of this form can be identified by a special structure tensor. In this paper, we first state the equivalence between the positive-definite multivariate form and the corresponding tensor and account for the links between the positive-definite tensor with a strong H-tensor. Then based on weak reducibility, some criteria were provided to identify strong H-tensors. Furthermore, with these relations, we establish an iterative scheme to identify the positive-definite multivariate homogeneous form and prove it is theoretically valid. Numerical experiments were given to illustrate the practicality of the scheme. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1080/00207160.2019.1567915 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Keywords | DocType | Volume |
Positive definiteness, strong H-tensor, homogeneous multivariate form, weakly reducible, iterative scheme | Journal | 96 |
Issue | ISSN | Citations |
12 | 0020-7160 | 0 |
PageRank | References | Authors |
0.34 | 14 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kaili Zhang | 1 | 4 | 1.07 |
| Haibin Zhang | 2 | 118 | 18.58 |
| Pengfei Zhao | 3 | 10 | 9.72 |
| Xueyong Wang | 4 | 0 | 0.34 |