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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
Content available remote

On existence theorems for semilinear equations and applications

100%
Zhang F., Wang F.
Annales Polonici Mathematici
|
2013
|
tom 107
|
nr 2
123-131
EN
Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.
4
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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.
5
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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.
6
Content available remote

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.
7
Content available remote

The analysis of blow-up solutions to a semilinear parabolic system with weighted localized terms

81%
Lu H., Wang F., Jiang Q.
Annales Polonici Mathematici
|
2011
|
tom 102
|
nr 2
187-203
EN
This paper deals with blow-up properties of solutions to a semilinear parabolic system with weighted localized terms, subject to the homogeneous Dirichlet boundary conditions. We investigate the influence of the three factors: localized sources $u^{p}(x₀,t)$, vⁿ(x₀,t), local sources $u^{m}(x,t)$, $v^{q}(x,t)$, and weight functions a(x),b(x), on the asymptotic behavior of solutions. We obtain the uniform blow-up profiles not only for the cases m,q ≤ 1 or m,q > 1, but also for m > 1 & q < 1 or m < 1 & q > 1.
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