scholarly journals Studying the various properties of MIN and MAX matrices - elementary vs. more advanced methods

2016 ◽  
Vol 4 (1) ◽  
Author(s):  
Mika Mattila ◽  
Pentti Haukkanen
Keyword(s):  
Real Numbers ◽  
Matrix Methods ◽  
Elementary Matrix

AbstractLet T = {z1, z2, . . . , zn} be a finite multiset of real numbers, where z1 ≤ z2 ≤ · · · ≤ zn. The purpose of this article is to study the different properties of MIN and MAX matrices of the set T with min(zi , zj) and max(zi , zj) as their ij entries, respectively.We are going to do this by interpreting these matrices as so-called meet and join matrices and by applying some known results for meet and join matrices. Once the theorems are found with the aid of advanced methods, we also consider whether it would be possible to prove these same results by using elementary matrix methods only. In many cases the answer is positive.

Methodical approaches to the evaluation of the trading enterprise competitiveness

2018 ◽  
Vol 35 (3) ◽  
pp. 22-27
Author(s):  
E. S. Kirenkina ◽  
I. G. Pavlenko
Keyword(s):  
Quantitative Assessment ◽  
Quality Level ◽  
Graphical Methods ◽  
Matrix Methods ◽  
Methods Of Evaluation ◽  
Comparative Advantages ◽  
Enterprise Competitiveness

The article is devoted to the issues of ensuring the competitiveness of a trading enterprise through its quantitative assessment. Analytic and graphical methods of evaluation are conventionally identified. The methodical approaches to the evaluation of the competitiveness of the trading enterprise, including the Rosenberg Model, the assessment of the quality level of production, matrix methods, the evaluation of comparative advantages, the multifactor score, the model of competitiveness are described, their strengths and weaknesses are identified.

Optimizing Costs of Customer Attraction as a Competitiveness Factor

2019 ◽  
pp. 172-182
Author(s):  
A. V. Katernyuk
Keyword(s):  
Simplex Method ◽  
Investment Analysis ◽  
Economic Indicators ◽  
The Internet ◽  
Internet Services ◽  
Induction Method ◽  
Matrix Methods ◽  
Fast Growing ◽  
Analysis Methods ◽  
Available Resources

In all spheres business experts try to raise competitiveness of the company by different ways, for instance at the expense of more efficient redistribution of available resources (costs). Objectives connected with modeling and optimizing resources used in advertising are becoming the most topical. Deeper knowledge in planning and conducting any marketing and advertising campaigns are in demand today among many specialists. The process of searching for and finding optimum costs of advertising in the Internet as a factor of the rise in the company sustainability can be successfully shaped through universal matrix methods of solution (e.g. simplex-method). Objectives which cannot be resolved by this method can be supplemented by such economic indicators, as profitability of investment and return on one ruble. The article summarizes the instrumental base dealing with estimating the efficiency of events connected with customer attraction to such a fast growing industry as internet-services. The author proposes besides traditional ways of expense optimization to take into account economic indicators connected with profitability of each sale channel. The following tools were used in the research: modeling, induction method, investment analysis, methods of statistics and formal logics, multi-criteria optimization, specific software meant for solving similar tasks, in particular special macros for excel table.  

On existence result of a class of nonlinear integral equation

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3593-3597
Author(s):  
Ravindra Bisht
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Existence And Uniqueness ◽  
Existence Result ◽  
Nonlinear Integral Equation ◽  
Continuous Functions ◽  
Concave Functions ◽  
Real Numbers ◽  
Fixed Point Techniques ◽  
Uniqueness Of A Solution

Combining the approaches of functionals associated with h-concave functions and fixed point techniques, we study the existence and uniqueness of a solution for a class of nonlinear integral equation: x(t) = g1(t)-g2(t) + ? ?t,0 V1(t,s)h1(s,x(s))ds + ? ?T,0 V2(t,s)h2(s,x(s))ds; where C([0,T];R) denotes the space of all continuous functions on [0,T] equipped with the uniform metric and t?[0,T], ?,? are real numbers, g1, g2 ? C([0, T],R) and V1(t,s), V2(t,s), h1(t,s), h2(t,s) are continuous real-valued functions in [0,T]xR.

Dynamics of a family of orbitally continuous mappings

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3507-3517
Author(s):  
Abhijit Pant ◽  
R.P. Pant ◽  
Kuldeep Prakash
Keyword(s):  
Fixed Points ◽  
Julia Sets ◽  
Real Numbers ◽  
Continuous Mappings ◽  
Non Linear

The aim of the present paper is to study the dynamics of a class of orbitally continuous non-linear mappings defined on the set of real numbers and to apply the results on dynamics of functions to obtain tests of divisibility. We show that this class of mappings contains chaotic mappings. We also draw Julia sets of certain iterations related to multiple lowering mappings and employ the variations in the complexity of Julia sets to illustrate the results on the quotient and remainder. The notion of orbital continuity was introduced by Lj. B. Ciric and is an important tool in establishing existence of fixed points.

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