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  1. 5 Open Mathematics

Autorzy help

  1. 5 Sun D.

  2. 5 Wang F.

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  1. 1 2017

  2. 2 2016

  3. 2 2015

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1
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New iterative codes for𝓗-tensors and an application

100%
Wang F., Sun D.
Open Mathematics
|
2016
|
tom 14
|
nr 1
212-220
EN
New iterative codes for identifying 𝓗 -tensor are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor, i.e., an even-degree homogeneous polynomial form are given. Advantages of results obtained are illustrated by numerical examples.
2
Content available remote

New bounds for the minimum eigenvalue ofM-matrices

100%
Wang F., Sun D.
Open Mathematics
|
2016
|
tom 14
|
nr 1
1007-1013
EN
Some new bounds for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices. Finally, some examples are also given to show that the bounds are better than some previous results.
3
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New error bounds for linear complementarity problems of weakly chained diagonally dominantB-matrices

100%
Sun D., Wang F.
Open Mathematics
|
2017
|
tom 15
|
nr 1
978-986
EN
Some new error bounds for the linear complementarity problems are obtained when the involved matrices are weakly chained diagonally dominant B-matrices. Numerical examples are given to show the effectiveness of the proposed bounds.
4
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The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices

100%
Wang F., Sun D.
Open Mathematics
|
2015
|
tom 13
|
nr 1
EN
The theory of Schur complement plays an important role in many fields, such as matrix theory and control theory. In this paper, applying the properties of Schur complement, some new estimates of diagonally dominant degree on the Schur complement of I(II)-block strictly diagonally dominant matrices and I(II)-block strictly doubly diagonally dominant matrices are obtained, which improve some relative results in Liu [Linear Algebra Appl. 435(2011) 3085-3100]. As an application, we present several new eigenvalue inclusion regions for the Schur complement of matrices. Finally, we give a numerical example to illustrate the advantages of our derived results.
5
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New criteria for H-tensors and an application

100%
Wang F., Sun D.
Open Mathematics
|
2015
|
tom 13
|
nr 1
EN
Some new criteria for identifying H-tensors are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given. Advantages of results obtained are illustrated by numerical examples.
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