New methods based $ \mathcal{H} $-tensors for identifying the positive definiteness of multivariate homogeneous forms
Copyright policy )New methods based $ \mathcal{H} $-tensors for identifying the positive definiteness of multivariate homogeneous forms
<abstract><p>Positive definite polynomials are important in the field of optimization. $ \mathcal{H} $-tensors play an important role in identifying the positive definiteness of an even-order homogeneous multivariate form. In this paper, we propose some new criterion for identifying $ \mathcal{H} $-tensor. As applications, we give new conditions for identifying positive definiteness of the even-order homogeneous multivariate form. At last, some numerical examples are provided to illustrate the efficiency and validity of new methods.</p></abstract>
- Guizhou Minzu University China (People's Republic of)
Numerical computation of eigenvalues and eigenvectors of matrices, Numerical solution of nonlinear eigenvalue and eigenvector problems, positive definiteness, non-zero element chain, Multilinear algebra, tensor calculus, homogeneous multivariate form, QA1-939, \(\mathcal{H}\)-tensors, h-tensors, irreducible, Mathematics
Numerical computation of eigenvalues and eigenvectors of matrices, Numerical solution of nonlinear eigenvalue and eigenvector problems, positive definiteness, non-zero element chain, Multilinear algebra, tensor calculus, homogeneous multivariate form, QA1-939, \(\mathcal{H}\)-tensors, h-tensors, irreducible, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!