An adaptive gradient method for computing generalized tensor eigenpairs
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DOI: 10.1007/s10589-016-9846-9
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References listed on IDEAS
- Shenglong Hu & Guoyin Li & Liqun Qi & Yisheng Song, 2013. "Finding the Maximum Eigenvalue of Essentially Nonnegative Symmetric Tensors via Sum of Squares Programming," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 717-738, September.
- Qin Ni & Liqun Qi, 2015. "A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map," Journal of Global Optimization, Springer, vol. 61(4), pages 627-641, April.
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Cited by:
- Na Zhao & Qingzhi Yang & Yajun Liu, 2017. "Computing the generalized eigenvalues of weakly symmetric tensors," Computational Optimization and Applications, Springer, vol. 66(2), pages 285-307, March.
- Mengshi Zhang & Xinzhen Zhang & Guyan Ni, 2019. "Calculating Entanglement Eigenvalues for Nonsymmetric Quantum Pure States Based on the Jacobian Semidefinite Programming Relaxation Method," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 787-802, March.
- Mengshi Zhang & Guyan Ni & Guofeng Zhang, 2020. "Iterative methods for computing U-eigenvalues of non-symmetric complex tensors with application in quantum entanglement," Computational Optimization and Applications, Springer, vol. 75(3), pages 779-798, April.
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Keywords
Higher order tensor; Eigenvalue; Eigenvector; Gradient method; Power method;All these keywords.
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