New Iterative Judging Criteria for <em>H-</em>Tensors and Some Applications

WANG Feng; SUN De-shu

doi:10.3879/j.issn.1000-0887.2015.12.010

Volume 36 Issue 12

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WANG Feng, SUN De-shu. New Iterative Judging Criteria for H-Tensors and Some Applications[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1315-1323. doi: 10.3879/j.issn.1000-0887.2015.12.010

Citation:

WANG Feng, SUN De-shu. New Iterative Judging Criteria for H-Tensors and Some Applications[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1315-1323. doi: 10.3879/j.issn.1000-0887.2015.12.010

Citation:

WANG Feng, SUN De-shu. New Iterative Judging Criteria for H-Tensors and Some Applications[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1315-1323. doi: 10.3879/j.issn.1000-0887.2015.12.010

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New Iterative Judging Criteria for H-Tensors and Some Applications

doi: 10.3879/j.issn.1000-0887.2015.12.010

College of Science, Guizhou Minzu University, Guiyang 550025, P.R.China

Funds: The National Natural Science Foundation of China(11361074)

Received Date: 2015-03-30
Rev Recd Date: 2015-10-12
Publish Date: 2015-12-15

Abstract

Abstract

H-tensors have wide applications in science and engineering, but it is difficult to determine whether a given tensor is an H-tensor or not in practice. Several new iterative judging criteria were given for H-tensors through construction of different positive diagonal matrices and introduction of some techniques of inequalities. For application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor were given. Results of the numerical examples illustrate the effectiveness of the presented criteria.
- H-tensor,
- real symmetric tensor,
- positive definiteness,
- irreducible

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References(12)

References

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