scholarly journals Perron vector analysis for irreducible nonnegative tensors and its applications

2021 ◽  
Vol 17 (1) ◽  
pp. 29-50
Author(s):  
Wen Li ◽  
◽  
Wei-Hui Liu ◽  
Seak Weng Vong ◽  
Keyword(s):  
Vector Analysis ◽  
Nonnegative Tensors ◽  
Perron Vector

scholarly journals A new estimate for the spectral radius of nonnegative tensors

Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3409-3418 ◽  
Author(s):  
Jingjing Cui ◽  
Guohua Peng ◽  
Quan Lu ◽  
Zhengge Huang
Keyword(s):  
Spectral Radius ◽  
Nonnegative Tensors ◽  
Numerical Example ◽  
Perron Vector

In this paper, we are concerned with the spectral radius of nonnegative tensors. By estimating the ratio of the smallest component and the largest component of a Perron vector, a new bound for the spectral radius of nonnegative tensors is obtained. It is proved that the new bound improves some existing ones. Finally, a numerical example is implemented to show the effectiveness of the proposed bound.

Perron Vector Bounds for a Tournament Matrix With Applications to a Conjecture of Brualdi and Li

1997 ◽  
Vol 262 (1-3) ◽  
pp. 209-227 ◽  
Author(s):  
S Kirkland
Keyword(s):  
Perron Vector

DESCRIPTIVE RELIABILITY OF ACTIVITY VECTOR ANALYSIS

1958 ◽  
Vol 4 ◽  
pp. 435 ◽  
Author(s):  
HAROLD R. MUSIKER
Keyword(s):  
Vector Analysis ◽  
Activity Vector

Correlation between quality of Pyrola decorata and its ecological factors based on hierarchy- vector analysis

2013 ◽  
Vol 36 (9) ◽  
pp. 992-1003
Author(s):  
Zhen-Jiang LÜ ◽  
Dong-Mei WANG ◽  
Deng-Wu LI
Keyword(s):  
Ecological Factors ◽  
Vector Analysis

Vector Analysis

1933 ◽  
Vol 17 (225) ◽  
pp. 281
Author(s):  
E. H. Neville ◽  
H. B. Phillips
Keyword(s):  
Vector Analysis

scholarly journals Iterative Methods for the Computation of the Perron Vector of Adjacency Matrices

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1522
Author(s):  
Anna Concas ◽  
Lothar Reichel ◽  
Giuseppe Rodriguez ◽  
Yunzi Zhang
Keyword(s):  
Iterative Methods ◽  
Adjacency Matrix ◽  
Lanczos Method ◽  
Power Method ◽  
Arnoldi Method ◽  
Multiple Eigenvalues ◽  
Computer Storage ◽  
Adjacency Matrices ◽  
Lanczos Methods ◽  
Perron Vector

The power method is commonly applied to compute the Perron vector of large adjacency matrices. Blondel et al. [SIAM Rev. 46, 2004] investigated its performance when the adjacency matrix has multiple eigenvalues of the same magnitude. It is well known that the Lanczos method typically requires fewer iterations than the power method to determine eigenvectors with the desired accuracy. However, the Lanczos method demands more computer storage, which may make it impractical to apply to very large problems. The present paper adapts the analysis by Blondel et al. to the Lanczos and restarted Lanczos methods. The restarted methods are found to yield fast convergence and to require less computer storage than the Lanczos method. Computed examples illustrate the theory presented. Applications of the Arnoldi method are also discussed.

scholarly journals Evaluating the impacts of major cyclonic catastrophes in coastal Bangladesh using geospatial techniques

2021 ◽  
Vol 3 (8) ◽  
Author(s):  
Mashoukur Rahaman ◽  
Md. Esraz-Ul-Zannat
Keyword(s):  
Deep Water ◽  
Water Body ◽  
Crop Production ◽  
Vector Analysis ◽  
Agricultural Crop ◽  
Geospatial Technologies ◽  
Catastrophic Events ◽  
Change Vector Analysis ◽  
Change Vector ◽  
Post Disaster

AbstractCyclonic catastrophes frequently devastate coastal regions of Bangladesh that host around 35 million people which represents two-thirds of the total population. They have caused many problems like agricultural crop loss, forest degradation, damage to built-up areas, river and shoreline changes that are linked to people’s livelihood and ecological biodiversity. There is an absence of a comprehensive assessment of the major cyclonic disasters of Bangladesh that integrates geospatial technologies in a single study. This study aims to integrate geospatial technologies with major disasters and compares them, which has not been tried before. This paper tried to identify impacts that occurred in the coastal region by major catastrophic events at a vast level using different geospatial technologies. It focuses to identify the impacts of major catastrophic events on livelihood and food production as well as compare the impacts and intensity of different disasters. Furthermore, it compared the losses among several districts and for that previous and post-satellite images of disasters that occurred in 1988, 1991, 2007, 2009, 2019 were used. Classification technique like machine learning algorithm was done in pre- to post-disaster images. For quantifying change in the indication of different factors, indices including NDVI, NDWI, NDBI were developed. “Change vector analysis” equation was performed in bands of the images of pre- and post-disaster to identify the magnitude of change. Also, crop production variance was analyzed to detect impacts on crop production. Furthermore, the changes in shallow to deep water were analyzed. There is a notable change in shallow to deep water bodies after each disaster in Satkhira and Bhola district but subtle changes in Khulna and Bagerhat districts. Change vector analysis revealed greater intensity in Bhola in 1988 and Satkhira in 1991. Furthermore, over the years 2007 and 2009 it showed medium and deep intense areas all over the region. A sharp decrease in Aus rice production is witnessed in Barishal in 2007 when cyclone “Sidr” was stricken. The declination of potato production is seen in Khulna district after the 1988 cyclone. A huge change in the land-use classes from classified images like water body, Pasture land in 1988 and water body, forest in 1991 is marked out. Besides, a clear variation in the settlement was observed from the classified images. This study explores the necessity of using more geospatial technologies in disastrous impacts assessment around the world in the context of Bangladesh and, also, emphasizes taking effective, proper and sustainable disaster management and mitigation measures to counter future disastrous impacts.

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