scholarly journals The Rule of Hessenberg Matrix for Computing Determinant of Centrosymmetric Matrices

CAUCHY ◽  
2020 ◽  
Vol 6 (3) ◽  
pp. 140-148
Author(s):  
Nur Khasanah ◽  
Agustin Absari Wahyu Kuntarini

The application of centrosymmetric matrix on engineering take their part, particulary about determinat rule. This basic rule needs computational process for determining appropiate algorithm. Therefore, by the algorithm of determinant kind of Hessenberg matrix, this is used for computing determinant of centrosymmetric matrix more efficiently. This paper shows the algorithm of lower Hessenberg and sparse Hessenberg matrix to construct the efficient alforithm of determinant of centrosymmetric matrix. By using the special structure of centrosymmetric matrix, the algorithm of these determinant are usefull for their own characterstics.

2013 ◽  
Vol 659 ◽  
pp. 108-112
Author(s):  
Di Zhao ◽  
Hong Yi Li

This article bases on the reduction property of the centrosymmetric matrix. We analyze the method of computing the spectral radius of the inverse M-matrices, and present an iterative algorithm for the spectral radius of a kind of centrosymmetric matrices with special structure. We show that the computation cost will be reduced significantly by using this algorithm.Introduction and Preliminaries


2009 ◽  
Vol 60-61 ◽  
pp. 146-150 ◽  
Author(s):  
Wan Feng Lin ◽  
Wen Zhong Lou ◽  
Jing Xu ◽  
Ren Long Song ◽  
Liang Hu

: It is a test of sound transmission characteristic of PTFE Micro-aperture Membrane,through it we found that the PTFE Micro-aperture Membrane is an excellent material of sound transmission for its special structure, though the basic rule is of no difference from normal material. Something more important, from test data, it was discovered that PTFE will not affect sound transmission when aperture diameter reaches 0.22m, which is valuable for the research of sound transmission on Micro-aperture.


Nanoscale ◽  
2021 ◽  
Vol 13 (13) ◽  
pp. 6635-6643
Author(s):  
Die Su ◽  
Jing Dai ◽  
Min Yang ◽  
Jiaxing Wen ◽  
Jianping Yang ◽  
...  

TiO2-RP/CN was fabricated and found to possess a special structure and an excellent electronic conductivity, and the electrodes show outstanding energy storage in K half/full cells.


Sensors ◽  
2021 ◽  
Vol 21 (13) ◽  
pp. 4305
Author(s):  
Takamasa Terada ◽  
Masahiro Toyoura ◽  
Takahide Sato ◽  
Xiaoyang Mao

In this work, we propose a fabric electrode with a special structure that can play the role of a noise reduction filter. Fabric electrodes made of the conductive fabric have been used for long-term ECG measurements because of their flexibility and non-invasiveness; however, due to the large impedance between the skin and the fabric electrodes, noise is easily introduced into the ECG signal. In contrast to conventional work, in which chip-type passive elements are glued to the electrode to reduce noise, the proposed electrode can obtain a noise-reduced ECG by changing the structure of fabric. Specifically, the proposed electrode was folded multiple times to form a capacitor with a capacitance of about 3 nF. It is combined with the skin-electrode impedance to form a low-pass filter. In the experiment, we made a prototype of the electrodes and measured ECG at rest and during EMG-induced exercise. As a result, the SNR values at rest and during exercise were improved about 12.02 and 10.29 , respectively, compared with the fabric electrode without special structure. In conclusion, we have shown that changing the fabric electrode structure effectively removes noise in ECG measurement.


2012 ◽  
Author(s):  
Bernd Küchler ◽  
Artem Shamsuarov ◽  
Thomas Mülders ◽  
Ulrich Klostermann ◽  
Seung-Hune Yang ◽  
...  

2013 ◽  
Vol 284-287 ◽  
pp. 3345-3351
Author(s):  
Chi Chang Wang ◽  
Wu Jung Liao ◽  
Lu Ping Chao

This study used rectangular fins with constant heat transfer coefficient as material to discuss convective and radiative heat transfer, so as to prove that the hybrid spline difference method proposed in this study is an easy to operate method with high accuracy. According to the computational process described in this paper, the hybrid spline difference method is as simple as finite difference method and is easy to use. The complex computational process of traditional spline method can be simplified by using this method, but the numerical accuracy can be increased to second order. Therefore, the high accuracy numerical method of hybrid spline difference method replacing traditional spline method for future heat transfer analyses is expectable.


RSC Advances ◽  
2016 ◽  
Vol 6 (15) ◽  
pp. 12467-12471 ◽  
Author(s):  
Qiong Luo ◽  
Liyong Chen ◽  
Binhua Duan ◽  
Zhizhi Gu ◽  
Jing Liu ◽  
...  

Hierarchical porous and hollow N-doped graphitic carbon with one-dimensional structure was successfully achieved by a sacrificial template method, and exhibited an enhanced electrocatalytic performance towards ORR due to its special structure.


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