On eigenvalue problems of real symmetric tensors
By Kung-Ching Chang, Kelly J. Pearson, Tan Zhang. 2009
162 citations recorded by the source corpus.
Subfields: Computational Mathematics, Radiology, Nuclear Medicine and Imaging
View Paper: https://www.semanticscholar.org/paper/5d7c7cc0e7809be61a0b941123f0902267c07522
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mathematics
- Liqun Qi
- Guanglu Zhou
- Kelly J. Pearson
- Kung-Ching Chang
- Anirban Banerjee
- Michael Kwok-Po Ng
- Tan Zhang
- Zhongming Chen
In Radiology, Nuclear Medicine and Imaging
- Liqun Qi
- Guanglu Zhou
- Kelly J. Pearson
- Zhongming Chen
- Kung-Ching Chang
- Anirban Banerjee
- Chaoqian Li
- Yaotang Li
Citations in the corpus
- Singular values of a real rectangular tensor (2010, background): “When M is odd, our definition is slightly different from that in [10], but parallel to the definition of eigenvalues of square matrices [3].”
- Essentially Positive Tensors (2010, background): “Eigenvalue problems for tensors have recently gained special attention in the realm of numerical multilinear algebra; see [8], [4], [1].”
- Finding the Largest Eigenvalue of a Nonnegative Tensor (2009, background): “In recent studies of numerical multilinear algebra [2, 3, 7, 9, 10], eigenvalue problems for tensors have attracted special attention.”
- Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors (2014, unknown): “i1,··· ,im∈[2] xi1xi2 · · ·xim = 1 ma [”
- Circulant Tensors with Applications to Spectral Hypergraph Theory and Stochastic Process (2013, background): “It was extended to tensors in Tm,n in [2].”
- On the spectrum of hypergraphs (2017, background): “Various properties of eigenvalues of a tensor have been studied in [10, 11, 24, 31, 41, 42, 45, 46].”
- M-Tensors and Some Applications (2014, unknown): “In particular, theory of, and algorithms for calculating, eigenvalues of nonnegative tensors are well developed [6, 7, 8, 12, 16, 18, 19, 23, 26, 27, 28].”
- Conditions for strong ellipticity and M-eigenvalues (2009, background): “Chang, Pearson and Zhang [2] established the Perron-Frobenius theorem for nonnegative tensors.”
- Perron-Frobenius theorem for nonnegative tensors (2008, background): “In late studies of numerical multilinear algebra [7][4][1], eigenvalue problems for tensors have been brought to special attention.”