Solution of large dense complex matrix equations utilizing wavelet-like transforms

IEEE Transactions on Antennas and Propagation

Volumn 47, Issue 10, 1999, Pages 1628-1632

  Sarkar, Tapan Kumar ^a   Kim, Kyungjung ^a  

^a Syracuse University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; METHOD OF MOMENTS; PROBLEM SOLVING; WAVELET TRANSFORMS;

ORTHOGONAL TRANSFORMS;

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 0033343283     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/8.805909     Document Type: Article

References (12)

1. G. Beylkin, R. Coifman, and V. Rokhlin, "Fast wavelet transforms and numerical algorithms," Commun. Pure Appl. Math., vol. M44, pp. 141-183.
2. S. G. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans., Pattern Anal. Machine Intell., vol. M11, pp. 674-693, July 1990.
3. B. Alpert, G. Beylkin, R. Coifman, and V. Rokhlin, "Wavelet-like base for the fast solution of second-kind integral equations," SIAM J. Sci. Comput., vol. M14, no. 1, pp. 159-184, 1993.
4. H. Kim and H. Ling, "On the application of fast wavelet transform to the integral equation solution of electromagnetic scattering problems," Microwave Opt. Technol. Lett., vol. M6, no. 3, pp. 168-173, Mar. 1993.
5. R. L. Wagner and W. C. Chew, "A study of wavelets for the solution of electromagnetic integral equations," IEEE Trans. Antennas Propagat., vol. M43, pp. 802-810, Aug. 1995.
6. B. Z. Steinberg and Y. Leviatan, "On the use of wavelet expansions in the method of moments," IEEE Trans. Antennas Propagat., vol. M41, pp. 610-619, Mar. 1993.
7. J. C. Goswami, A. K. Chan, and C. K. Chui, "On solving first-kind integral equations using wavelets on a bounded interval," IEEE Trans. Antennas Propagat., vol. M43, pp. 614-622, June 1995.
8. G. Wang, "A hybrid wavelet expansion and boundary element analysis of electromagnetic scattering from conducting objects," IEEE Trans. Antennas Propagat., vol. M43, pp. 170-178, Feb. 1995.
9. T. K. Sarkar et al., "A tutorial on wavelets from an electrical engineering perspective: Part I: Discrete wavelet techniques," IEEE Antennas Propagat. Mag., vol. M40, pts. I, II, pp. 173-197, Oct. 1998.
10. A. P. Calderon, "Intermediate spaces and interpolation, the complex method," Studies Math., vol. M24, pp. 113-190, 1964.
11. W. H. Press, S, Teukolsky, W. T. Vetterling, and B. P. Flemery, Numerical Recipes-The Art of Scientific Computing. Cambridge, U.K.: Cambridge Univ. Press, M1992.
12. G. Strang and T. Nguyen, Wavelet and Filter Banks. Cambridge, MA: Wellesley-Cambridge, M1996.