Interval-analysis techniques in linear systems: An application in power systems

1993 ◽  
Vol 12 (1) ◽  
pp. 51-60
Author(s):  
A. N. Michel ◽  
M. A. Pai ◽  
H. F. Sun ◽  
C. Kulig
Keyword(s):  
Power Systems ◽  
Linear Systems ◽  
Interval Analysis ◽  
Analysis Techniques

Application of Interval Analysis Techniques to Linear Systems

1987 ◽  
Vol 20 (5) ◽  
pp. 251-256
Author(s):  
A.N. Michel ◽  
E.P. Oppenheimer
Keyword(s):  
Linear Systems ◽  
Interval Analysis ◽  
Analysis Techniques

A Study of Sparse Matrix Methods on New Hardware

2015 ◽  
Vol 3 (3) ◽  
pp. 1-19
Author(s):  
Athanasios Fevgas ◽  
Konstantis Daloukas ◽  
Panagiota Tsompanopoulou ◽  
Panayiotis Bozanis
Keyword(s):  
Power Systems ◽  
Linear Systems ◽  
Large Scale ◽  
Comprehensive Evaluation ◽  
Sparse Matrix ◽  
Electrical Power ◽  
Iterative Algorithms ◽  
Direct Methods ◽  
Computer Hardware ◽  
Computing Platforms

Modeling of numerous scientific and engineering problems, such as multi-physic problems and analysis of electrical power systems, amounts to the solution of large scale linear systems. The main characteristics of such systems are the large sparsity ratio and the large number of unknowns that can reach thousands or even millions of equations. As a result, efficient solution of sparse large-scale linear systems is of great importance in order to enable analysis of such problems. Direct and iterative algorithms are the prevalent methods for solution of linear systems. Advances in computer hardware provide new challenges and capabilities for sparse solvers. The authors present a comprehensive evaluation of some, state of the art, sparse methods (direct and iterative) using modern computing platforms, aiming to determine the performance boundaries of each solver on different hardware infrastructures. By identifying the potential performance bottlenecks of out-of-core direct methods, the authors present a series of optimizations that increase their efficiency on flash-based systems.

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