eigenvaluestensorsinvariantstensor特征值supermatrix J.Math.Anal.Appl.325(2007)1363–1377 .elsevier/locate/jmaa Eigenvaluesandinvariantsoftensors LiqunQi 1 DepartmentofAppliedMathematics,TheHongKongPolytechnicUniversity,Kowloon,HongKong Received4August2005 Availableonline27March2006 SubmittedbyJ.A.Filar Abstract Ate...
Qi L. Eigenvalues and invariants of tensors. J Math Anal Appl, 2007, 325: 1363-1377Qi L. Eigenvalues and invariants of tensors[J].{H}Journal of Mathematical Analysis and Applications,2007.13631377.L. Qi, Eigenvalues and invariants of tensors, J. Math. Anal. Appl., 325, 1363- 1377, ...
A tensor is represented by a supermatrix under a co-ordinate system. In this paper, we define E-eigenvalues and E-eigenvectors for tensors and supermatrices. By the resultant theory, we define the E-characteristic polynomial of a tensor. An E-eigenvalue
Eigenvalues and invariants of tensors 来自 Semantic Scholar 喜欢 0 阅读量: 224 作者: L Qi 摘要: A tensor is represented by a supermatrix under a co-ordinate system. In this paper, we define E-eigenvalues and E-eigenvectors for tensors and supermatrices. By the resultant theory, we define...
Their elements give the relative weight, in each compartment, of each of the three terms in the sum whose total gives the compartmental gas tension. The eigenvalues and eigenvectors are system invariants that depend only on the fij’s that characterize the system. They are sometimes referred to...
2. Preliminaries In this section, we review the definitions of Mo¨bius invariants and the fundamental formulas on Mo¨bius geometry of hypersurfaces in 𝑆𝑛+1(1); for more details see [1]. Let x : 𝑀 → 𝑆𝑛+1(1) be an 𝑛-dimensional hypersurface of 𝑆𝑛+1(1) ...
We study in this article multiplicities of eigenvalues of tensors. There are two natural multiplicities associated to an eigenvalue $\\lambda$ of a tensor: algebraic multiplicity $\\operatorname{am}(\\lambda)$ and geometric multiplicity $\\operatorname{gm}(\\lambda)$. The former is the ...
Local estimates for a class of fully nonlinear equations arising from conformal geometry This tensor is connected to the study of conformal invariants, in particular conformally invariant tensors and differential operators (e.g., see [6] and... P Guan,G Wang - 《International Mathematics Research...
A fully explicit formula for the eigenvalues of Casimir invariants for 0305-4470/30/5/024/img2 is given which applies to all unitary irreps. This is achieved by making some interesting observations on atypicality indices for irreps occurring in the tensor product of unitary irreps of the same ...
aneigenvalue of the Blaschke tensor of x is called a Blaschke eigenvalue of x.It is interesting to determineall hypersurfaces in S~n with constant Blaschke eigenvalues.In this paper,we are able to classify allimmersed hypersurfaces in S~(m+1) with vanishing Mbius form and constant Blaschke ...