The Homotopy Continuation Algorithm for the Real Nonsymmetric Eigenproblem: Further Development and Implementation

1999 ◽  
Vol 20 (5) ◽  
pp. 1627-1651 ◽  
Author(s):  
T. Y. Li ◽  
Zhonggang Zeng
Keyword(s):  
Homotopy Continuation ◽  
The Real ◽  
Continuation Algorithm ◽  
Further Development

Hybrid argumentation systems for structured news reports

2001 ◽  
Vol 16 (4) ◽  
pp. 295-329 ◽  
Author(s):  
ANTHONY HUNTER
Keyword(s):  
Knowledge Management ◽  
Decision Support ◽  
Hybrid Systems ◽  
Real World ◽  
Hybrid Approach ◽  
Graphical Notation ◽  
The Real ◽  
News Reports ◽  
Further Development ◽  
Argumentation Systems

Numerous argumentation systems have been proposed in the literature. Yet there often appears to be a shortfall between proposed systems and possible applications. In other words, there seems to be a need for further development of proposals for argumentation systems before they can be used widely in decision-support or knowledge management. I believe that this shortfall can be bridged by taking a hybrid approach. Whilst formal foundations are vital, systems that incorporate some of the practical ideas found in some of the informal approaches may make the resulting hybrid systems more useful. In informal approaches, there is often an emphasis on using graphical notation with symbols that relate more closely to the real-world concepts to be modelled. There may also be the incorporation of an argument ontology oriented to the user domain. Furthermore, in informal approaches there can be greater consideration of how users interact with the models, such as allowing users to edit arguments and to weight influences on graphs representing arguments. In this paper, I discuss some of the features of argumentation, review some key formal argumentation systems, identify some of the strengths and weaknesses of these formal proposals and finally consider some ways to develop formal proposals to give hybrid argumentation systems. To focus my discussions, I will consider some applications, in particular an application in analysing structured news reports.

Forward kinematics modeling of spatial parallel linkage mechanisms based on constraint equations and the numerical solving method

Robotica ◽  
2015 ◽  
Vol 35 (2) ◽  
pp. 293-309 ◽  
Author(s):  
Liyang Gao ◽  
Weiguo Wu
Keyword(s):  
Forward Kinematics ◽  
Homotopy Continuation ◽  
Arc Length ◽  
Numerical Convergence ◽  
Kinematics Modeling ◽  
Variable Space ◽  
Continuation Algorithm ◽  
Joint Variable ◽  
Comparison Of The Results ◽  
Newton Homotopy

SUMMARYIn order to solve general kinematics modeling problems and numerical stability problems of numerical methods for spatial parallel linkage mechanisms, a general modeling method and its numerical solving algorithm is proposed. According to the need for avoiding direct singular configurations, valid joint variable space and valid forward kinematics solutions (VKSs) are defined. Taking numerical convergence near singular points into account, the pseudo-arc length homotopy continuation algorithm is given to solve the kinematics model. Finally as an example, the joint variable space of the general Stewart platform mechanism is analyzed, which is proved to be divided into subspaces by direct singular surfaces. And then, forward kinematics solutions of 200 testing points are solved separately using the pseudo-arc length homotopy continuation algorithm, the Newton homotopy continuation algorithm and the Newton–Raphson algorithm (NRA). Comparison of the results shows that the proposed method is convergent to the same solution branch with the initial configuration on all the testing points, while the other two algorithms skip to other solution branches on some near singular testing points.

Personal Structures: I. a Basis for Personal Structures

1963 ◽  
Vol 13 (1) ◽  
pp. 3-17 ◽  
Author(s):  
Maynard W. Shelly
Keyword(s):  
Boolean Algebras ◽  
The Real ◽  
Boolean Rings ◽  
Further Development ◽  
Psychological Experiments

Personal structures were defined as structures pairing judgments and sets of environmental states. It was shown how either the judgments or environmental sets of these structures could be treated both as Boolean algebras and as Boolean rings. It was shown that a basis for the personal structures always existed, and this basis made it possible uniquely to construct the remainder of the personal structure. Some discussion was presented concerning the usefulness of the concepts of personal structure and a basis for a personal structure. These discussions were, however, very preliminary, and the real usefulness of this approach rests upon developments in future papers, in particular the further development of the concept of uncertain judgment. It may be that this concept of an uncertain judgment will have to “absorb” much of the variability usually found in psychological experiments. In this connection it is to be noted that we have thus far not limited the concept of judgment to a single instant in time, nor even to a continuous interval in time, thus permitting the concept of uncertain judgment to include as factors, judgments made over a series of trials.

scholarly journals GEOLOGICAL AND ECONOMIC ASSESMENT OF THE PERSPECTIVE OF THE MINING IN LJUBIJA ORE REGION

2018 ◽  
Vol 1 (18) ◽  
Author(s):  
Ranko Cvijić ◽  
Aleksej Milošević ◽  
Miodrag Čelebić ◽  
Žarko Kovačević
Keyword(s):  
Production Process ◽  
Iron Ore ◽  
Potential Space ◽  
Geological Exploration ◽  
Exploration And Exploitation ◽  
The Real ◽  
Commercial Viability ◽  
The City ◽  
Further Development

The iron ore of the Ljubija ore region for decades has a very great impact on the overall socialreproduction in the area of the city of Prijedor, RS, BiH, which is clearly connected with theconstant renewal and intensification of the production process. We have systematic geologicalexplorations last over 135 years and exploitation with certain interruptions over 100 years.Existing resources/reserves should be optimally activated in order to achieve the commercial viability ofinvestment funds invested in them, but also those that have yet to be invested, and a certain expectednational benefit, and at the same time an intensive geological exploration of the potential space forfinding new reserves in terms of iron ore base.The paper attempts to assess the real justification of further geological exploration and exploitation inthis area and the strategy for further development of iron ore mining.

Sign in / Sign up

Export Citation Format

Share Document