scholarly journals Tensor norm and maximal singular vectors of nonnegative tensors — A Perron–Frobenius theorem, a Collatz–Wielandt characterization and a generalized power method

2016 ◽  
Vol 505 ◽  
pp. 313-343 ◽  
Author(s):  
Antoine Gautier ◽  
Matthias Hein
Keyword(s):  
Power Method ◽  
Frobenius Theorem ◽  
Singular Vectors ◽  
Nonnegative Tensors ◽  
Tensor Norm

scholarly journals A Unifying Perron--Frobenius Theorem for Nonnegative Tensors via Multihomogeneous Maps

2019 ◽  
Vol 40 (3) ◽  
pp. 1206-1231 ◽  
Author(s):  
Antoine Gautier ◽  
Francesco Tudisco ◽  
Matthias Hein
Keyword(s):  
Frobenius Theorem ◽  
Nonnegative Tensors

scholarly journals Block Power Method for SVD Decomposition

2015 ◽  
Vol 23 (2) ◽  
pp. 45-58 ◽  
Author(s):  
A. H. Bentbib ◽  
A. Kanber
Keyword(s):  
Singular Values ◽  
Diagonal Matrix ◽  
New Method ◽  
Power Method ◽  
Orthogonal Matrices ◽  
Singular Vectors ◽  
Left And Right ◽  
Svd Decomposition ◽  
Block Version

Abstract We present in this paper a new method to determine the k largest singular values and their corresponding singular vectors for real rectangular matrices A ∈ Rn×m. Our approach is based on using a block version of the Power Method to compute an k-block SV D decomposition: Ak = Uk∑kVkT , where ∑k is a diagonal matrix with the k largest non-negative, monotonically decreasing diagonal σ1≥ σ2 ⋯ ≥ σk. Uk and Vk are orthogonal matrices whose columns are the left and right singular vectors of the k largest singular values. This approach is more efficient as there is no need of calculation of all singular values. The QR method is also presented to obtain the SV D decomposition.

scholarly journals Perron-Frobenius theorem for nonnegative tensors

2008 ◽  
Vol 6 (2) ◽  
pp. 507-520 ◽  
Author(s):  
K. C. Chang ◽  
K. Pearson ◽  
T. Zhang
Keyword(s):  
Frobenius Theorem ◽  
Nonnegative Tensors

Turmeric and cinnamon dominate in antioxidant potential among four major spices

2017 ◽  
Vol 26 (1) ◽  
pp. 27 ◽  
Author(s):  
B Saranya ◽  
T Sulfikarali ◽  
S Chindhu ◽  
A M Muneeb ◽  
N K Leela ◽  
...  
Keyword(s):  
Methanol Extract ◽  
Reducing Power ◽  
Black Pepper ◽  
Chloroform Extract ◽  
Antioxidant Potential ◽  
Total Phenol Content ◽  
Power Method ◽  
Phenol Content ◽  
Dpph Assay ◽  
Synthetic Antioxidant

Antioxidant activity of sequential extracts of black pepper, ginger, turmeric and cinnamon was determined by DPPH assay, phosphomolybdate method and ferric reducing power method and compared with that of the synthetic antioxidant BHA. The results revealed that methanol extract of cinnamon has highest antioxidant potential followed by chloroform extract of turmeric. The antioxidant potential was also correlated with total phenol content.  

Using NOGAPS Singular Vectors to Diagnose Large-scale Influences on Tropical Cyclogenesis

2011 ◽  
Author(s):  
Sharanya J. Majumdar ◽  
Melinda S. Peng ◽  
Carolyn A. Reynolds ◽  
James D. Doyle ◽  
Chun-Chieh Wu ◽  
...  
Keyword(s):  
Large Scale ◽  
Tropical Cyclogenesis ◽  
Singular Vectors
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