On the use of transition matrix methods with extended ensembles

2006 ◽  
Vol 124 (10) ◽  
pp. 104110 ◽  
Author(s):  
Fernando A. Escobedo ◽  
Charlles R. A. Abreu
Keyword(s):  
Transition Matrix ◽  
Matrix Methods

Transition matrix methods in atom-surface scattering theory

1994 ◽  
Vol 80 (1-3) ◽  
pp. 53-89 ◽  
Author(s):  
G. Armand ◽  
J.R. Manson
Keyword(s):  
Scattering Theory ◽  
Transition Matrix ◽  
Surface Scattering ◽  
Matrix Methods

scholarly journals The Eigenvectors of the Transition Matrix as Predictors of the Dynamics of a Synchronous Boolean Network

2020 ◽  
pp. 80-99
Author(s):  
Ali Muhammad Ali Rushdi ◽  
Adnan Ahmad Alsogati
Keyword(s):  
Characteristic Equation ◽  
Transition Matrix ◽  
Boolean Network ◽  
Partial Information ◽  
Cyclic Behavior ◽  
Main Concern ◽  
State Matrix ◽  
Matrix Methods ◽  
Network Transition ◽  
Function Matrix

The synchronous Boolean network model is a simple and powerful tool in describing, analyzing and simulating cellular biological networks. This paper seeks a complete understanding of the dynamics of such a model by utilizing conventional matrix methods, rather than scalar methods, or matrix methods employing the non-conventional semi-tensor products (STP) of matrices. The paper starts by relating the network transition matrix to its function matrix via a self-inverse (involutary) state matrix, which has a simple recursive expression, provided a recursive ordering is employed for the underlying basis vector. Once the network transition matrix is obtained, it can be used to generate a wealth of information including its powers, characteristic equation, minimal equation, 1-eigenvectors, and 0-eigenvectors. These might be used to correctly predict both the transient behavior and (more importantly) the cyclic behavior of the network. In a short-cut partial variant of the proposed approach, the step of computing the transition matrix might be by-passed. The reason for this is that the transition matrix and the function matrix are similar matrices that share the same characteristic equation and hence the function matrix might suffice when only the partial information supplied by the characteristic equation is all that is needed. We demonstrate the conceptual simplicity and practical utility of our approach via two illustrative examples. The first example illustrates the computation of 1-eigenvectors (that can be used to identify loops or attractors), while the second example deals with the evaluation of 0-eigenvectors (that can be used to explore transient chains). Since attractors are the main concern in the underlying model, then analysis of the Boolean network might be confined to the determination of 1-eigenvectors only.

Random Matrix Methods for Wireless Communications

2009 ◽  
Author(s):  
Romain Couillet ◽  
Merouane Debbah
Keyword(s):  
Wireless Communications ◽  
Random Matrix ◽  
Matrix Methods

DETERMINATION OF THE TRANSITION MATRIX WITH N-COUPLED CHANNELS

1989 ◽  
Vol 50 (C1) ◽  
pp. C1-119-C1-125 ◽  
Author(s):  
S. BOUGOUFFA ◽  
X. C. CAO
Keyword(s):  
Transition Matrix ◽  
Coupled Channels

Effects of Observer Variation on Performance in Probabilistic Diagnosis of Jaundice

1981 ◽  
Vol 20 (03) ◽  
pp. 163-168 ◽  
Author(s):  
G. Llndberg
Keyword(s):  
Physical Examination ◽  
System Performance ◽  
Transition Matrix ◽  
Bayes Theorem ◽  
Observer Variation ◽  
Kappa Statistics ◽  
Diagnostic Categories ◽  
Number Of Patients ◽  
Probability Transition Matrix ◽  
Probabilistic Diagnosis

A system for probabilistic diagnosis of jaundice has been used for studying the effects of taking into account the unreliability of diagnostic data caused by observer variation. Fourteen features from history and physical examination were studied. Bayes’ theorem was used for calculating the probabilities of a patient’s belonging to each of four diagnostic categories.The construction sample consisted of 61 patients. An equal number of patients were tested in the evaluation sample. Observer variation on the fourteen features had been assessed in two previous studies. The use of kappa-statistics for measuring observer variation allowed the construction of a probability transition matrix for each feature. Diagnostic probabilities could then be calculated with and without the inclusion of weights for observer variation. Tests of system performance revealed that discriminatory power remained unchanged. However, the predictions rendered by the variation-weighted system were diffident. It is concluded that taking observer variation into account may weaken the sharpness of probabilistic diagnosis but it may also help to explain the value of probabilistic diagnosis in future applications.

Case Study of Efficiency Improvements Using Matrix Methods of Production Management in Building Construction

2020 ◽  
Author(s):  
Augusto Tiezzi ◽  
David Lott ◽  
Wayne Lott ◽  
William J. O’Brien ◽  
John Borcherding
Keyword(s):  
Production Management ◽  
Building Construction ◽  
Matrix Methods

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.  

Sign in / Sign up

Export Citation Format

Share Document