Solving the Generalized Sylvester Equation with a Systolic Library

Authors:
Gloria Martínez;Germán Fabregat;Vicente Hernández
Affiliations:
-;-;-
Venue:
VECPAR '00 Selected Papers and Invited Talks from the 4th International Conference on Vector and Parallel Processing
Year:
2000

Citing 4
Cited 0

Partitioning: An Essential Step in Mapping Algorithms Into Systolic Array Processors

Computer
Parallel and distributed computation: numerical methods

Parallel and distributed computation: numerical methods
Computational methods for linear control systems

Computational methods for linear control systems
Using PLAPACK: parallel linear algebra package

Using PLAPACK: parallel linear algebra package

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Abstract

The study of the solution of the Generalized Sylvester Equation and other related equations is a good example of the role played by matrix arithmetic in the field of Modern Control Theory. We describe the work performed to develop systolic algorithms for solving this equation, in a fast and effective way. The presented results show that the design methodology used allowed us to propose the use of Systolic Libraries, that is, reusable systolic arrays that can be implemented taking profit of the use of FPGA technology. In this paper we show how it is feasible to solve the Generalized Sylvester Equation using basic modules of Linear Algebra that can be implemented on versatile systolic arrays.