Currently displaying 1 – 15 of 15

Showing per page

Order by Relevance | Title | Year of publication

The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices

Feng Wang;  Deshu Sun — 2015

Open Mathematics

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...

New criteria for H-tensors and an application

Feng Wang;  Deshu Sun — 2015

Open Mathematics

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.

New iterative codes for𝓗-tensors and an application

Feng Wang;  Deshu Sun — 2016

Open Mathematics

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.

On existence theorems for semilinear equations and applications

Fang Zhang;  Feng Wang — 2013

Annales Polonici Mathematici

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.

New bounds for the minimum eigenvalue ofM-matrices

Feng Wang;  Deshu Sun — 2016

Open Mathematics

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.

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

Haihua Lu;  Feng Wang;  Qiaoyun Jiang — 2011

Annales Polonici Mathematici

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 ( x ₀ , 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.

L¹-convergence and hypercontractivity of diffusion semigroups on manifolds

Feng-Yu Wang — 2004

Studia Mathematica

Let P t be the Markov semigroup generated by a weighted Laplace operator on a Riemannian manifold, with μ an invariant probability measure. If the curvature associated with the generator is bounded below, then the exponential convergence of P t in L¹(μ) implies its hypercontractivity. Consequently, under this curvature condition L¹-convergence is a property stronger than hypercontractivity but weaker than ultracontractivity. Two examples are presented to show that in general, however, L¹-convergence...

Page 1

Download Results (CSV)