An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
In this paper we propose an iterative method to calculate the largest eigenvalue of a nonnegative tensor. We prove this method converges for any irreducible nonnegative tensor. We also apply this method to study the positive definiteness of a multivariate form.
| Main Authors: | Liu, Y., Zhou, Guanglu, Ibrahim, Nur Fadhilah |
|---|---|
| Format: | Journal Article |
| Published: |
Elsevier
2010
|
| Online Access: | http://hdl.handle.net/20.500.11937/29734 |
Similar Items
The largest eigenvalue of nonnegative tensors
by: Ibrahim, Nur Fadhilah
Published: (2013)
by: Ibrahim, Nur Fadhilah
Published: (2013)
On the largest eigenvalue of a symmetric nonnegative tensor
by: Zhou, Guanglu, et al.
Published: (2013)
by: Zhou, Guanglu, et al.
Published: (2013)
Finding the largest eigenvalue of a nonnegative tensor
by: Ng, M., et al.
Published: (2009)
by: Ng, M., et al.
Published: (2009)
Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
by: Zhou, Guanglu, et al.
Published: (2013)
by: Zhou, Guanglu, et al.
Published: (2013)
Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor
by: Zhou, Guanglu, et al.
Published: (2013)
by: Zhou, Guanglu, et al.
Published: (2013)
Spectral theory of nonnegative tensors
by: Yang, Q., et al.
Published: (2013)
by: Yang, Q., et al.
Published: (2013)
Z-Eigenvalue inclusion theorems for tensors
by: Wang, G., et al.
Published: (2017)
by: Wang, G., et al.
Published: (2017)
A fast algorithm for the spectral radii of weakly reducible nonnegative tensors
by: Zhou, Guanglu, et al.
Published: (2018)
by: Zhou, Guanglu, et al.
Published: (2018)
Parameter selection for nonnegative l1 matrix/tensor sparse decomposition
by: Wang, Y., et al.
Published: (2015)
by: Wang, Y., et al.
Published: (2015)
Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors
by: Wang, G., et al.
Published: (2018)
by: Wang, G., et al.
Published: (2018)
Z-EIGENVALUE INCLUSION THEOREMS FOR TENSORS
by: Wang, G., et al.
Published: (2017)
by: Wang, G., et al.
Published: (2017)
A Globally and Quadratically Convergent Algorithm for Solving Multilinear Systems with M-tensors
by: He, H., et al.
Published: (2018)
by: He, H., et al.
Published: (2018)
Approximation algorithms for nonnegative polynomial optimization problems over unit spheres
by: Zhang, X., et al.
Published: (2017)
by: Zhang, X., et al.
Published: (2017)
The Non-convex Sparse Problem with Nonnegative Constraint for Signal Reconstruction
by: Wang, Y., et al.
Published: (2016)
by: Wang, Y., et al.
Published: (2016)
Nonsingular H-tensor and its criteria
by: Wang, Y., et al.
Published: (2016)
by: Wang, Y., et al.
Published: (2016)
M-Tensors and Some Applications
by: Zhang, L., et al.
Published: (2014)
by: Zhang, L., et al.
Published: (2014)
Nonnegative polynomial optimization over unit spheres and convex programming relaxations
by: Zhou, Guanglu, et al.
Published: (2012)
by: Zhou, Guanglu, et al.
Published: (2012)
Singular values of a real rectangular tensor
by: Chang, K., et al.
Published: (2010)
by: Chang, K., et al.
Published: (2010)
Fixed point methods for computing a Z-eigenpair of general square tensors
by: Liu, L., et al.
Published: (2016)
by: Liu, L., et al.
Published: (2016)
Irreducible Representations of Groups of Order 8
by: Sarmin, Nor Haniza, et al.
Published: (2006)
by: Sarmin, Nor Haniza, et al.
Published: (2006)
Outlawing irreducible life sentences: Europe on the brink?
by: Van Zyl Smit, Dirk
Published: (2010)
by: Van Zyl Smit, Dirk
Published: (2010)
Computing irreducible representations of two-generator groups
by: Sarmin, Nor Haniza, et al.
Published: (2009)
by: Sarmin, Nor Haniza, et al.
Published: (2009)
Ruptured ectopic pregnancy presenting as an irreducible inguinal hernia
by: Prasannan, Subhita, et al.
Published: (2004)
by: Prasannan, Subhita, et al.
Published: (2004)
Inverse nonnegative local coordinate factorization for visual tracking
by: Liu, Fanghui, et al.
Published: (2017)
by: Liu, Fanghui, et al.
Published: (2017)
A quadratically convergent method for minimizing a sum of euclidean norms with linear constraints
by: Zhou, Guanglu
Published: (2007)
by: Zhou, Guanglu
Published: (2007)
A new data hiding technique based on irreducible polynomials
by: Abduallah, Wafaa Mustafa, et al.
Published: (2013)
by: Abduallah, Wafaa Mustafa, et al.
Published: (2013)
The always beyond
by: Costantino, Thea
Published: (2014)
by: Costantino, Thea
Published: (2014)
Regularised nonnegative shared subspace learning
by: Gupta, Sunil, et al.
Published: (2011)
by: Gupta, Sunil, et al.
Published: (2011)
Coefficient Conditions for Starlikeness of Nonnegative Order
by: M. Ali, Rosihan, et al.
Published: (2012)
by: M. Ali, Rosihan, et al.
Published: (2012)
Convergence analysis of a block improvement method for polynomial optimization over unit spheres
by: Wang, Y., et al.
Published: (2015)
by: Wang, Y., et al.
Published: (2015)
Statistical analysis of diffusion tensor imaging
by: Zhou, Diwei
Published: (2010)
by: Zhou, Diwei
Published: (2010)
Development of key-dependent dynamic S-Boxes with dynamic irreducible polynomial and affine constant
by: Agarwal, Praveen, et al.
Published: (2018)
by: Agarwal, Praveen, et al.
Published: (2018)
An efficient nonnegative matrix factorization approach in flexible Kernel space
by: Zhang, D., et al.
Published: (2009)
by: Zhang, D., et al.
Published: (2009)
Adaptive Line Enhancer with Selectable Algorithms based on Noise Eigenvalue Spread
by: Roshahliza, M. Ramli, et al.
Published: (2016)
by: Roshahliza, M. Ramli, et al.
Published: (2016)
A globally and quadratically convergent method for absolute value equations
by: Caccetta, Louis, et al.
Published: (2011)
by: Caccetta, Louis, et al.
Published: (2011)
Nonnegative matrix factorization and metamorphic malware detection
by: Ling, Yeong Tyng, et al.
Published: (2019)
by: Ling, Yeong Tyng, et al.
Published: (2019)
Wigner functions for gauge equivalence classes of unitary irreducible representations of noncommutative quantum mechanics
by: Chowdhury, S. Hasibul Hassan, et al.
Published: (2017)
by: Chowdhury, S. Hasibul Hassan, et al.
Published: (2017)
'There is always a scientific explanation'
by: UMP, .
Published: (2015)
by: UMP, .
Published: (2015)
Reminder to always observe SOP
by: Tang, Ashley
Published: (2021)
by: Tang, Ashley
Published: (2021)
Nontrivial solution of third-order nonlinear eigenvalue problems (II)
by: Zhang, Xinguang, et al.
Published: (2008)
by: Zhang, Xinguang, et al.
Published: (2008)
Similar Items
-
The largest eigenvalue of nonnegative tensors
by: Ibrahim, Nur Fadhilah
Published: (2013) -
On the largest eigenvalue of a symmetric nonnegative tensor
by: Zhou, Guanglu, et al.
Published: (2013) -
Finding the largest eigenvalue of a nonnegative tensor
by: Ng, M., et al.
Published: (2009) -
Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
by: Zhou, Guanglu, et al.
Published: (2013) -
Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor
by: Zhou, Guanglu, et al.
Published: (2013)