The Efficient Solution of Large Sparse Nonsymmetric and Complex Eigensystems by Subspace Iteration

IEEE Transactions on Magnetics

Volumn 30, Issue 5, 1994, Pages 3582-3585

  Lu, Yilong ^a   Zhu, Shouzheng ^b   Fernandez, F Anibal ^c  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b EAST CHINA NORMAL UNIVERSITY   (China)

^c UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENSYSTEMS; SPARSE MATRIX SOLVER; SUBSPACE ITERATION;

ALGORITHMS; DATA PROCESSING; DATA STORAGE EQUIPMENT; ELECTROMAGNETIC FIELDS; ERRORS; ESTIMATION; FINITE ELEMENT METHOD; ITERATIVE METHODS; MATRIX ALGEBRA; PERFORMANCE; VECTORS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0028515588     PISSN: 00189464     EISSN: 19410069     Source Type: Journal    
DOI: 10.1109/20.312713     Document Type: Article

References (16)

1. K. Hayata, K. Miura, and M. Koshiba, “Finite element formulation for lossy waveguides,” IEEE Trans. Microwave Theory Tech., vol. 36, pp. 268-272, 1988.
2. Y. Lu and F.A. Fernandez, “Finite element analysis of lossy dielectric waveguides”, IEEE Trans. Magn., vol. 29, pp. 1609-1612, 1993.
3. I.S. Duff, “A survey of sparse matrix software,” in Cowell (ed.), Sources and Development of Mathematical Software, Englewood Cliffs, NJ: Prentice-Hall, pp. 165-199, 1984.
4. J. Cullum and R. Willoughby, Lanczos algorithm for large symmetric eigenvalue computations, Vol I, Theory, Boston: Birkhauser, 1985.
5. J. Cullum and R. Willoughby, Lanczos algorithm for large symmetric eigenvalue computations, Vol II, Programs, Boston: Birkhauser, 1985.
6. NAG Fortran Library, Mark 14, Numerical Algorithms Group Ltd., Oxford, England, 1990.
7. IMSL Scientific Library, IMSL Ltd, 1991.
8. Harwell Subroutine Library, Harwell Laboratory, Oxford, England.
9. Netlib, ftp site : anonymous@research.att.com, 1993.
10. F.A. Fernandez, J.B. Davies, S. Zhu, and Y. Lu, “Sparse matrix eigenvalue solver for finite element solution of dielectric waveguides,” Electron. Lett., vol. 27, pp. 1824-1826, 1826, 1991.
11. M. Clint and A. Jennings, “A simultaneous iteration method for the unsymmetric eigenvalue problems,” J. Inst Math Appl., vol. 8, pp. 111-121, 1971.
12. A. Jennings and W. J. Stewart, “Simulataneous iteration for partial eigensolution of real matrices,” J. Inst. Math. Appl., vol. 15, pp. 351-361, 1975.
13. K.J. Bathe and E.L. Wilson, Numerical Methods in Finite Element Analysis, Englewood Cliffs, NJ: Prentice-Hall; 1976.
14. S.B. Dong, “A block-Stodola eigensolution technique for large algebraic systems with nonsymmetrical matrices,” Int. J. Number. Meth. Eng., vol. 11, pp. 247-267, 1977.
15. J.B. Davies, F.A. Fernandez and G. Philippou, “Finite element analysis of all modes in cavities with circular symmetry,” IEEE Trans. Microwave Theory Tech., vol. 30, pp. 1975-1980, 1982.
16. I.S. Duff., “ME28: a sparse unsymmetric linear equation solver for complex equations,” ACM Trans. Math Software, vol. 7, pp. 505-511, 1981.