A preconditioned Quasi-Minimal Residual method for electrically large random surface scattering of remote sensing

International Journal of Remote Sensing

Volumn 20, Issue 13, 1999, Pages 2627-2636

  Chen, Farchien ^a,b  

^a The University of Texas at Arlington   (United States)

^b INDUSTRIAL TECHNOLOGY RESEARCH INSTITUTE   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ELECTROMAGNETIC WAVE SCATTERING; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; METHOD OF MOMENTS; VECTORS;

CONJUGATE GRADIENT METHOD; LANCROZ RECURSION; MATRIX FACTORIZATION; QUASI MINIMAL RESIDUAL METHOD; RANDOM SURFACE SCATTERING;

REMOTE SENSING;

ALGORITHM; HELMHOLTZ EQUATION; MATHEMATICAL METHOD; REMOTE SENSING; SCATTERING;

EID: 0032723556     PISSN: 01431161     EISSN: 13665901     Source Type: Journal    
DOI: 10.1080/014311699211976     Document Type: Article

References (14)

1. Axline, R. M., and Fung, A. K., 1978, Numerical computation of scattering froma perfectly conducting random surface. IEEE Transactions on Antennas and Propagation, 26, 482-488.
2. Craven, B. D., 1969, Complex symmetric matrices. The Journal of the Australian Mathematical Society, 10, 341-354.
3. Forsythe, G., and Moler, C. B., 1967, Computer Solution of Linear Algebraic Systems (New Jersey: Prentice-Hall).
4. Freund, R. W., 1992, Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices. SIAM Journal on Scientific and Statistical Computing, 13, 425-448.
5. Golub, G. H., and Van Loan, C. F., 1983, Matrix Computations (Baltimore, Maryland: Johns Hopkins University Press).
6. Harrington, R. F., 1968, Field Computation by Moment Methods (New York: MacMillan).
7. Hestenes, M. R., and Stiefel, E., 1952, Methods of conjugate gradients for solving linear systems. Journal of Research of the National Bureau of Standards, 49, 409-436.
8. Paige, C. C., and Saunders, M. A., 1975, Solution of sparse indefinite systems of linear equations. SIAM Journal on Numerical Analysis, 12, 617-629.
9. Peterson, A. F., and Mittra, R., 1985, Method of conjugate gradients for the numerical solution of large-body electromagnetic scattering problems. Optical Society of America, 2, 971-977.
10. Poggio, A. J., and Miller, E. K., 1973, Integral equation solution of three-dimensional scattering problems. In Computer Techniques for Electromagnetics, edited by R.Mittra (New York: Pergamon), pp. 159-261.
11. Saad, Y., 1987, On the Lanczos method for solving symmetric linear systems with several right-hand sides. Mathematics of Computation, 48, 651-662.
12. Saad, Y., and Schultz, M. H., 1986, GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing, 7, 856-869.
13. Smith, C., Peterson, A. F., and Mittra, R., 1990, The biconjugate gradient method for electromagnetic scattering. IEEE Transaction on Antennas and Propagation, 38, 938-940.
14. Ulaby, F. T., Moore, R. K., and Fung, A. K., 1982, Microwave Remote Sensing: active and passive, Volume 2 (Norwood, Massachusetts: Artech).