scholarly journals Generalization of the Lieb–Thirring–Araki Inequality and Its Applications

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 723
Author(s):  
Yonggang Li ◽  
Jing Wang ◽  
Huafei Sun
Keyword(s):  
Interpolation Inequality ◽  
Exterior Algebra ◽  
Matrix Analysis ◽  
Matrix Eigenvalue ◽  
Operator Interpolation ◽  
The Matrix ◽  
Schur Convex ◽  
Eigenvalue Inequality ◽  
Trace Inequalities ◽  
Matrix Trace

The matrix eigenvalue is very important in matrix analysis, and it has been applied to matrix trace inequalities, such as the Lieb–Thirring–Araki theorem and Thompson–Golden theorem. In this manuscript, we obtain a matrix eigenvalue inequality by using the Stein–Hirschman operator interpolation inequality; then, according to the properties of exterior algebra and the Schur-convex function, we provide a new proof for the generalization of the Lieb–Thirring–Araki theorem and Furuta theorem.

scholarly journals MATRIX TRACE INEQUALITIES RELATED TO UNCERTAINTY PRINCIPLE

2005 ◽  
Vol 16 (06) ◽  
pp. 629-645 ◽  
Author(s):  
HIDEKI KOSAKI
Keyword(s):  
Uncertainty Principle ◽  
Recent Article ◽  
Trace Inequality ◽  
The Matrix ◽  
Trace Inequalities ◽  
Matrix Trace

In their recent article, Luo and Zhang conjectured the matrix trace inequality mentioned in the introduction below, which is motivated by uncertainty principle. We present a proof for the conjectured inequality.

scholarly journals Pengembangan Pasar Tenun Serat PT Retota Sakti Kabupaten Pekalongan, Jawa Tengah

2014 ◽  
Vol 9 (1) ◽  
pp. 54-66
Author(s):  
Hari Subagyo ◽  
Mochamad Hasjim Bintoro ◽  
Parulian Hutagaol
Keyword(s):  
Production Management ◽  
Swot Analysis ◽  
Production Capacity ◽  
Marketing Strategies ◽  
Matrix Analysis ◽  
Key Factors ◽  
Five Factors ◽  
The Matrix ◽  
Market Needs ◽  
Internal And External Factors

Potential weaving industry nationally as one of the SMEs so far have not unearthed the maximum due to the development of production management systems. Therefor,  PT Retota Sakti has prompted company management to enhance the creative abilities tenunnya always accompanied by the application of more precise marketing strategies that correspond with the development of competition situation that occurred in the weaving industry. The purpose of this study was (1) Identify and evaluate the position of Marketing PT Retota Way by internal and external factors, and (2) Develop appropriate marketing strategies in developing future business. Analyzed in a descriptive study to emphasize the aspect of marketing, covering demand products to meet market needs; offer, which gives an overview about the availability of products in the process of cultivation and the balance of factors between demand and supply prices. To examine the marketing strategies carried out by quantitative SWOT analysis. The results of factor identification strategy, there are five key factors of internal strengths and weaknesses of four key factors. While the external environment there are five key factors of opportunities and threats of five factors. IFE values ​​2.842 and 2.530 EFE value, and also the combination of these two values ​​in the matrix IE indicates that the marketing strategy lies in the quadrant of five, namely the growth and stability, where the strategies that can run the market penetration, product development and market. QSP matrix analysis results obtained with the most attractive strategy to be implemented is to increase production capacity.

Study on Kinematics Sensitivities of Folder Mechanism with Clearance

2011 ◽  
Vol 121-126 ◽  
pp. 4764-4769
Author(s):  
Ying Cai Yuan ◽  
Yan Li ◽  
Yi Ming Wang ◽  
Qiang Guo
Keyword(s):  
Sensitivity Analysis ◽  
High Velocity ◽  
High Speed ◽  
Development Trend ◽  
Matrix Analysis ◽  
Analysis Model ◽  
Design Variables ◽  
The Matrix ◽  
The Stability ◽  
Definition Of

High velocity and stability are the development trend and inevitable requirement, but the clearance would make the stability of mechanical system deceased, especially in high speed. To the folder mechanism with clearances in high velocity, combined with the definition of sensitivity and the kinematics analysis, the kinematics sensitivity analysis model is derived by the matrix analysis method. Through the sensitivity analysis model, it can be easy to get the relationship of the design variables and the mechanism’s robustness, which provides the base to design the folder mechanism in high velocity.

scholarly journals Several matrix trace inequalities on Hermitian and skew-Hermitian matrices

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Xiangyu Gao ◽  
Guoqiang Wang ◽  
Xian Zhang ◽  
Julong Tan
Keyword(s):  
Hermitian Matrices ◽  
Trace Inequalities ◽  
Matrix Trace

Pipe resistance coefficients identification of water networks considering solvable conditions

2020 ◽  
Author(s):  
Yongxin Liu ◽  
Qingting Du ◽  
Peng Luo ◽  
Pinghua Zou ◽  
Zhongyi He
Keyword(s):  
Linearization Method ◽  
Matrix Analysis ◽  
Analysis Process ◽  
Analysis Theory ◽  
Hydraulic Conditions ◽  
The Matrix ◽  
Successive Linearization Method ◽  
Minimum Number ◽  
Coefficients Identification ◽  
Resistance Coefficients

To make hydraulic models more accurate and realistic, this paper proposes a method to identify pipe resistance coefficients (PRCs) by using the measured heads at partial nodes. A successive linearization method is adopted to solve for the pipe flows, node heads, and PRCs. Based on the matrix analysis theory, the relationships among the number and location of measurement sites, number of hydraulic conditions (HCs), and solvable condition of PRC identification are established. The proposed method can identify all the PRCs when a solvable condition can be satisfied. In addition, the analysis process can be used as a tool to evaluate whether a given arrangement of measurement sites can meet the solvable condition of PRC identification, and to determine the minimum number of HCs. The performed case studies verified the feasibility of the proposed method, and the determined accuracy of PRC identification was noted to satisfy the actual engineering requirements.

A Method of Extracting Feature of Phonic Signal Based on the Matrix Analysis

2013 ◽  
Vol 457-458 ◽  
pp. 1200-1203
Author(s):  
Yang Xu ◽  
Fang Chao Hu
Keyword(s):  
Embedded System ◽  
Feature Vector ◽  
Recognition Rate ◽  
Audio Signal ◽  
Coefficient Matrix ◽  
Matrix Analysis ◽  
Discrete Wavelet ◽  
Feature Vectors ◽  
The Matrix ◽  
The Embedded System

In the speech recognition technology, feature extraction is essential for the system recognition rate, taking amount of strategies to find the better feature vectors are most researchers target. This paper presents a method of extracting feature of audio signal based on the discrete wavelet transform, then decomposed the coefficient matrix by the matrix analysis way, through this method to find a new thinking on the way of extracting feature vector. The method can be achieved in the procedure. The main purpose is to reduce the dimension of feature vector, make the vector briefer, and then reduce the computing complexity in the embedded system. This method can reduce the feature vectors dimension, accelerated the computing velocity.

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