Symmetric Nonnegative Tensors and Copositive Tensors

T.S. Motzkin, “Copositive quadratic forms”, National Bureau of Standards Report

1952

Earlier work this paper cites.

M. Hall and M. Newman, “Copositive and completely positive quadratic forms”, Proc. Cambridge Philos. Soc

1963

Earlier work this paper cites.

E. Haynsworth and A.J. Hoffman, “Two remarks on copositive matrices”, Lin. Alg. Appl

1969

Earlier work this paper cites.

H. Väliaho, “Criteria of copositive matrices”, Lin. Alg. Appl

1986

Earlier work this paper cites.

A. Berman and N. Shaked-Monderer, Completely Positive Matrices

2003

Earlier work this paper cites.

C. Xu, “completely positive matrices”, Lin. Alg. Appl

2004

Earlier work this paper cites.

L-H. Lim, Singular values and eigenvalues of tensors: A variational approach

2005

Earlier work this paper cites.

L. Qi, “Eigenvalues of a real supersymmetric tensor”, Journal of Symbolic Computation

2005

Earlier work this paper cites.

K.C. Chang, K. Pearson and T. Zhang, “Perron Frobenius Theorem for nonnegative tensors”, Commu. Math. Sci

2008

Cited alongside, same era.

M. Ng, L. Qi and G. Zhou, “Finding the largest eigenvalue of a non-negative tensor”, SIAM J. Matrix Anal. Appl

2009

Cited alongside, same era.

J.-B. Hiriart-Urruty and A. Seeger, “A variational approach to copositive matrices”, SIAM Review

2010

Cited alongside, same era.

Y. Liu, G. Zhou and N.F. Ibrahim, “An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor”, Journal of Computational and Applied Mathematics

2010

Cited alongside, same era.

Y. Yang and Q. Yang, “Further results for Perron-Frobenius Theorem for nonnegative tensors”, SIAM J. Matrix Anal. Appl

2010

Cited alongside, same era.

L. Zhang, L. Qi and Z. Luo, ¡§The dominant eigenvalue of an essentially nonnegative tensor¡¨, arXiv: 1110.6261v1 [math.NA] 28 Oct 2011

2011

Later among the works it cites.

J. Cooper and A. Dutle, “Spectra of uniform hypergraphs”, Lin. Alg. Appl

2012

Closest in time.

L. Qi, “H + -eigenvalues of Laplacian and signless Laplacian tensors”, Preprint, Department of Applied Mathematics, The Hong Kong Polytechnic University, November, 2012

2012

Closest in time.

L. Zhang and L. Qi, “Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor”, Numerical Linear Algebra with Applications

2012

Closest in time.

L. Zhang, L. Qi and Y. Xu, “Linear convergence of the LZI algorithm for weakly positive tensors”, Journal of Computational Mathematics

2012

Closest in time.