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A two-step accelerated Levenberg-Marquardt method for solving multilinear systems in tensor-train format
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 卷号: 382
Authors:
Liang, Maolin
;
Zheng, B(郑兵)
;
Zheng, Yutao
;
Zhao, Ruijuan
Favorite
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View/Download:22/0
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Submit date:2020/12/16
Multilinear systems
Tensor-train format
Levenberg-Marquardt (LM) method
The TALM method
Nonlinear equations
Numerical methods
Tensors
Cubic convergence
Curse of dimensionality
Iterative algorithm
L-m parameters
Local error bound
Marquardt method
Multi-linear systems
Nonsingularity
Some improved Ky Fan type eigenvalue inclusion sets for tensors
期刊论文
CALCOLO, 2020, 卷号: 57, 期号: 4
Authors:
Xu, Yangyang
;
Zheng, B(郑兵)
;
Zhao, Ruijuan
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View/Download:10/0
  |  
Submit date:2020/12/18
Ky Fan type
Eigenvalue inclusion set
Nonnegative tensor
Z-Tensor
A locally and cubically convergent algorithm for computing Z-eigenpairs of symmetric tensors
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020
Authors:
Zhao, Ruijuan
;
Zheng, B(郑兵)
;
Liang, Maolin
;
Xu, Yangyang
Adobe PDF(1523Kb)
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View/Download:12/0
  |  
Submit date:2020/08/28
Z-eigenpairs
US-eigenpairs
cubical convergence
modified normalized Newton method
Newton correction method
symmetric tensors
A new error bound for linear complementarity problems with weakly chained diagonally dominant B-matrices
期刊论文
Applied Mathematics and Computation, 2020, 卷号: 367
Authors:
Zhao, Ruijuan
;
Zheng, Bing
;
Liang, Maolin
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View/Download:7/0
  |  
Submit date:2020/08/27
Linear complementarity problems
Weakly chained diagonally dominant
B-matrices
Condition constant
Error bound
Some Bounds of Eigenvalues for Hadamard Product and Fan Product of Tensors
期刊论文
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019
Authors:
Xu, Yangyang
;
Zheng, B(郑兵)
;
Zhao, Ruijuan
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View/Download:6/0
  |  
Submit date:2020/08/20
Hadamard product
Fan product
Nonnegative tensor
Strong M-tensor
Eigenvalue
Upper and lower bounds
Two non-parameter iterative algorithms for identifying strong H-tensors
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 3, 页码: 1113-1128
Authors:
Xu, Yangyang
;
Zhao, Ruijuan
;
Zheng, B(郑兵)
Favorite
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View/Download:19/0
  |  
Submit date:2019/10/14
Strong H-tensors
Non-parameter
Iterative algorithm
Positive definiteness
Some results on Brauer-type and Brualdi-type eigenvalue inclusion sets for tensors
期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 卷号: 38, 期号: 2
Authors:
Xu, Yangyang
;
Zheng, B(郑兵)
;
Zhao, Ruijuan
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View/Download:13/0
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Submit date:2019/10/18
Brauer-type
Brualdi-type
The eigenvalue inclusion set
Strong M-tensor
Positive definiteness
Tensor inversion and its application to the tensor equations with Einstein product
期刊论文
LINEAR & MULTILINEAR ALGEBRA, 2019, 卷号: 67, 期号: 4, 页码: 843-870
Authors:
Liang, Mao-lin
;
Zheng, B(郑兵)
;
Zhao, Rui-juan
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View/Download:18/0
  |  
Submit date:2019/10/21
Nung-Sing Sze
Elementary tensor transformations
tensor rank
tensor determinant
tensor inversion
tensor equations
Some criteria for identifying strong H-tensors
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 80, 期号: 4, 页码: 1121-1141
Authors:
Xu, Yangyang
;
Zhao, Ruijuan
;
Zheng, B(郑兵)
Favorite
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View/Download:9/0
  |  
Submit date:2019/10/18
Strong H-tensors
Criteria
Multivariate form
Positive definiteness
Alternating iterative methods for solving tensor equations with applications
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 80, 期号: 4, 页码: 1437-1465
Authors:
Liang, Maolin
;
Zheng, B(郑兵)
;
Zhao, Ruijuan
Favorite
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View/Download:13/0
  |  
Submit date:2019/10/18
Tensor equations
ADMM
Tensor-train decomposition
Tensor eigenvalue problems
Inverse iteration methods