scholarly journals Inversion of selected structures of block matrices of chosen mechatronic systems

2016 ◽  
Vol 64 (4) ◽  
pp. 853-863
Author(s):  
T. Trawiński ◽  
A. Kochan ◽  
P. Kielan ◽  
D. Kurzyk
Keyword(s):  
Matrix Inversion ◽  
Block Matrix ◽  
Inversion Method ◽  
Mass Storage ◽  
Mechatronic Systems ◽  
Positioning Systems ◽  
Block Matrices ◽  
Storage Devices ◽  
Gaussian Method ◽  
Gauss Method

AbstractThis paper describes how to calculate the number of algebraic operations necessary to implement block matrix inversion that occurs, among others, in mathematical models of modern positioning systems of mass storage devices. The inversion method of block matrices is presented as well. The presented form of general formulas describing the calculation complexity of inverted form of block matrix were prepared for three different cases of division into internal blocks. The obtained results are compared with a standard Gaussian method and the “inv” method used in Matlab. The proposed method for matrix inversion is much more effective in comparison in standard Matlab matrix inversion “inv” function (almost two times faster) and is much less numerically complex than standard Gauss method.

scholarly journals Calculation of Weighted Geometric Dilution of Precision

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Chien-Sheng Chen ◽  
Yi-Jen Chiu ◽  
Chin-Tan Lee ◽  
Jium-Ming Lin
Keyword(s):  
Communication Systems ◽  
Approximation Error ◽  
Matrix Inversion ◽  
Location Estimation ◽  
Inversion Method ◽  
Error Statistics ◽  
Positioning Systems ◽  
Dilution Of Precision ◽  
Measurement Units ◽  
Geometric Dilution Of Precision

To achieve high accuracy in wireless positioning systems, both accurate measurements and good geometric relationship between the mobile device and the measurement units are required. Geometric dilution of precision (GDOP) is widely used as a criterion for selecting measurement units, since it represents the geometric effect on the relationship between measurement error and positioning determination error. In the calculation of GDOP value, the maximum volume method does not necessarily guarantee the selection of the optimal four measurement units with minimum GDOP. The conventional matrix inversion method for GDOP calculation demands a large amount of operation and causes high power consumption. To select the subset of the most appropriate location measurement units which give the minimum positioning error, we need to consider not only the GDOP effect but also the error statistics property. In this paper, we employ the weighted GDOP (WGDOP), instead of GDOP, to select measurement units so as to improve the accuracy of location. The handheld global positioning system (GPS) devices and mobile phones with GPS chips can merely provide limited calculation ability and power capacity. Therefore, it is very imperative to obtain WGDOP accurately and efficiently. This paper proposed two formations of WGDOP with less computation when four measurements are available for location purposes. The proposed formulae can reduce the computational complexity required for computing the matrix inversion. The simpler WGDOP formulae for both the 2D and the 3D location estimation, without inverting a matrix, can be applied not only to GPS but also to wireless sensor networks (WSN) and cellular communication systems. Furthermore, the proposed formulae are able to provide precise solution of WGDOP calculation without incurring any approximation error.

Representations for the image-kernel (p,q)-inverses of block matrices in rings

2020 ◽  
Vol 27 (2) ◽  
pp. 297-305
Author(s):  
Dijana Mosić
Keyword(s):  
Block Matrix ◽  
Block Matrices ◽  
Schur Form

AbstractWe present the conditions for a block matrix of a ring to have the image-kernel{(p,q)}-inverse in the generalized Banachiewicz–Schur form. We give representations for the image-kernel inverses of the sum and the product of two block matrices. Some characterizations of the image-kernel{(p,q)}-inverse in a ring with involution are investigated too.

Frequent Itemset Mining and Association Rules

2010 ◽  
pp. 343-353
Author(s):  
Susan Imberman ◽  
Abdullah Uz Uz Tansel
Keyword(s):  
Credit Card ◽  
Scientific Data ◽  
Large Datasets ◽  
Medical Data ◽  
Frequent Itemset ◽  
Knowledge Discovery In Databases ◽  
Mass Storage ◽  
Point Of Sale ◽  
Storage Devices ◽  
Itemset Mining

With the advent of mass storage devices, databases have become larger and larger. Point-of-sale data, patient medical data, scientific data, and credit card transactions are just a few sources of the ever-increasing amounts of data. These large datasets provide a rich source of useful information. Knowledge Discovery in Databases (KDD) is a paradigm for the analysis of these large datasets. KDD uses various methods from such diverse fields as machine learning, artificial intelligence, pattern recognition, database management and design, statistics, expert systems, and data visualization.

Mastering Web Mining and Information Retrieval in the Digital Age

2017 ◽  
pp. 1-28 ◽  
Author(s):  
Kijpokin Kasemsap
Keyword(s):  
Information Retrieval ◽  
Organizational Performance ◽  
User Interfaces ◽  
Web Mining ◽  
Digital Age ◽  
Mass Storage ◽  
Web Data ◽  
Time Saving ◽  
Storage Devices ◽  
Collaborative Information Retrieval

This chapter aims to master web mining and Information Retrieval (IR) in the digital age, thus describing the overviews of web mining and web usage mining; the significance of web mining in the digital age; the overview of IR; the concept of Collaborative Information Retrieval (CIR); the evaluation of IR systems; and the significance of IR in the digital age. Web mining can contribute to the increase in profits by selling more products and by minimizing costs. Web mining is the application of data mining techniques to discover the interesting patterns from web data in order to better serve the needs of web-based multifaceted applications. Mining web data can improve the personalization, create the selling opportunities, and lead to more profitable relationships with customers in global business. Web mining techniques can be applied with the effective analysis of the clearly understood business needs and requirements. Web mining builds the detailed customer profiles based on the transactional data. Web mining is used to create the personalized search engines which can recognize the individuals' search queries by analyzing and profiling the web user's search behavior. IR is the process of obtaining relevant information from a collection of informational resources. IR has considerably changed with the expansion of the Internet and the advent of modern and inexpensive graphical user interfaces and mass storage devices. The effective IR system, including an active indexing system, not only decreases the chances that information will be misfiled but also expedites the retrieval of information. Regarding IR utilization, the resulting time-saving benefit increases office efficiency and productivity while decreasing stress and anxiety. Most IR systems provide the advanced searching capabilities that allow users to create the sophisticated queries. The chapter argues that applying web mining and IR has the potential to enhance organizational performance and reach strategic goals in the digital age.

Compromising Electromagnetic Emanations of USB Mass Storage Devices

2020 ◽  
Author(s):  
Alexandru Boitan ◽  
Simona Halunga ◽  
Valerică Bîndar ◽  
Octavian Fratu
Keyword(s):  
Mass Storage ◽  
Storage Devices
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