scholarly journals A Short and Elementary Proof of the Two-Sidedness of the Matrix Inverse

2017 ◽  
Vol 48 (5) ◽  
pp. 366-367 ◽  
Author(s):  
Pietro Paparella
Keyword(s):  
Elementary Proof ◽  
Matrix Inverse ◽  
The Matrix

ASYMPTOTIC EXPANSIONS FOR RIEMANN–HILBERT PROBLEMS

2008 ◽  
Vol 06 (03) ◽  
pp. 269-298 ◽  
Author(s):  
W.-Y. QIU ◽  
R. WONG
Keyword(s):  
Asymptotic Expansion ◽  
Complex Analysis ◽  
Elementary Proof ◽  
Hilbert Problem ◽  
Jump Condition ◽  
Similar Type ◽  
Matrix Solution ◽  
Jump Matrix ◽  
The Matrix ◽  
Riemann Hilbert Problem

Let Γ be a piecewise smooth contour in ℂ, which could be unbounded and may have points of self-intersection. Let V(z, N) be a 2 × 2 matrix-valued function defined on Γ, which depends on a parameter N. Consider a Riemann–Hilbert problem for a matrix-valued analytic function R(z, N) that satisfies a jump condition on the contour Γ with the jump matrix V(z, N). Assume that V(z, N) has an asymptotic expansion, as N → ∞, on Γ. An elementary proof is given for the existence of a similar type of asymptotic expansion for the matrix solution R(z, N), as n → ∞, for z ∈ ℂ\Γ. Our method makes use of only complex analysis.

scholarly journals Calculating Fuzzy Inverse Matrix Using Linear Programming Problem: An Improved Approach

2021 ◽  
pp. 983-996
Author(s):  
Fatemeh Babakordi ◽  
Nemat Allah Taghi-Nezhad
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Linear Programming Problem ◽  
Fuzzy Numbers ◽  
Equation System ◽  
Matrix Inverse ◽  
Fuzzy Matrix ◽  
Linear Equation System ◽  
The Matrix ◽  
Left And Right

Calculating the matrix inverse is a key point in solving linear equation system, which involves complex calculations, particularly  when the matrix elements are  (Left and Right) fuzzy numbers. In this paper, first, the method of Kaur and Kumar for calculating the matrix inverse is reviewed, and its disadvantages are discussed. Then, a new method is proposed to determine the inverse of  fuzzy matrix based on linear programming problem. It is demonstrated that the proposed method is capable of overcoming the shortcomings of the previous matrix inverse. Numerical examples are utilized to verify the performance and applicability of the proposed method.

scholarly journals Genetic Algorithm in the Computation of the Camera External Orientation

2012 ◽  
Vol 9 ◽  
pp. 5-16
Author(s):  
Rudolf Urban ◽  
Martin Štroner
Keyword(s):  
Genetic Algorithm ◽  
Coordinate System ◽  
Control Points ◽  
Generic Algorithm ◽  
Matrix Inverse ◽  
Computation Procedure ◽  
Spatial Coordinate ◽  
The Matrix ◽  
Computer Based ◽  
Calculation Models

The article addresses the solution of the external orientation of the camera by means of a generic algorithm which replaces complicated calculation models using the matrix inverse. The computation requires the knowledge of four control points in the spatial coordinate system and the image coordinate system. The computation procedure fits very well computer-based solutions thanks to it being very simple.

scholarly journals PENGARUH PENGGUNAAN MEDIA KOMIK MATEMATIKA DENGAN BANTUAN POWERPOINT TERHADAP MOTIVASI DAN HASIL BELAJAR MATEMATIKA SISWA DI SMK ISTIQLAL DELITUA PENGARUH PENGGUNAAN MEDIA KOMIK MATEMATIKA DENGAN BANTUAN POWERPOINT TERHADAP MOTIVASI DAN HASIL BELAJAR MATEMATIKA SISWA DI SMK ISTIQLAL DELITUA

2017 ◽  
Vol 3 (1) ◽  
pp. 91-100
Author(s):  
Putri Amanda Siregar ◽  
Rosliana Siregar
Keyword(s):  
Data Analysis ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
T Test ◽  
Average Score ◽  
Matrix Inverse ◽  
The Matrix ◽  
The Subject ◽  
Data Requirements ◽  
Learning Data

This research aims to determine the effect of using comics media mathematics with the help of powerpoint on motivation and results of students’ mathematics learning on the subject of the matrix inverse order 2x2. This research was conducted in SMK Istiqlal Delitua. The population in this research are 486 students of class X. The sampling in this research using purposive sampling technique are 35 students of class X.AP-1. Based on the results of the test data requirements known that motivation data as well as results of the students’ mathematic learning are distributed normally. Motivation data an average score is 99,2 while the results of students’ mathematics learning data an average score is 19,6. Based on data analysis known that: (1) comics media mathematics are positive and significant impact on motivation to mathematic learn, where t test was obtained thitung = 3,1914 ˃ ttabel = 1,692. The index determination I = 12,5%, it means that comics media mathematics accounted 12,5% with motivation onof mathematic learning; (2) comics media mathematics are positive and significant with the results of students’ mathematics learning. Based on t test was obtained thitung = 6,19 ˃ ttabel = 1,692. The index determination I = 53,77%, it means that comics media mathematics accounted for 53,77% of the increase in the results of students’ mathematics learning.

Sign in / Sign up

Export Citation Format

Share Document