Iterative Methods for Solving Linear Systems of Equations on FPGA-Based Machines

18th International Conference on Computers and Their Applications 2003, CATA 2003

Volumn , Issue , 2003, Pages 472-475

  Xu, Xizhen ^a   Ziavras, Sotirios G ^a  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Chebyshev iteration; Conjugate Gradient; FPGA; iterative methods; Newton Raphson

Indexed keywords

CONJUGATE GRADIENT METHOD; LINEAR SYSTEMS; RECONFIGURABLE ARCHITECTURES; RECONFIGURABLE HARDWARE; TESTBEDS;

CHEBYSHEV ITERATION; DIRECT AND ITERATIVE METHOD; ITERATIVE CALCULATION; LINEAR SYSTEMS OF EQUATIONS; NEWTON-RAPHSON; PRECONDITIONING TECHNIQUES; RECONFIGURABLE COMPUTING SYSTEMS; SPEED UP; SYSTEMS OF LINEAR EQUATIONS;

FIELD PROGRAMMABLE GATE ARRAYS (FPGA);

EID: 6344234130     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (7)

1. E. V. Krishnamurthy and S. G. Ziavras, "Matrix g-Inversion On the Connection Machine", Technical Report CAR-TR-399, Computer Vision Lab, University of Maryland, College Park, MD, Oct. 1988.
2. H. Mori, H. Tanaka and J. Kanno, "A Preconditioned Fast Decoupled Power Flow Method for Contingency Screening", IEEE Transactions on Power Systems, 11(1), Feb. 1996.
3. J. R. Westlake, A Handbook of Numerical Matrix Inversion and Solution of Linear Equations, John Wiley & Sons, Inc., 1968.
4. G. H. Golub, C. F. Van Loan, Matrix Computation, 2nd edition, The Johns Hopkins University Press, 1989.
5. A. J. Flueck and H. Chiang, "Solving the Nonlinear Power Flow Equations with an Inexact Newton Method Using GMRES", IEEE Transactions on Power Systems, 13(2), May 1998.
6. D. Tylavsky, et.al., "Parallel Processing in Power Systems Computation", IEEE Transactions on Power Systems, Vol. 7, No. 2, May 1992, pp. 629-638.
7. G. T. Heydt, Computer Analysis Methods for Power Systems, Macmillan Puhl. Co., NY, 1986.