Abstract
Numerical instabilities are inherent in many inverse problems. The purpose of this working discussion group
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1.
The causes for numerical instability
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2.
The selection of optimum methods for the solution of inverse problems
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3.
Recommendations for further studies
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References
Bloom, F., Ill-posed problems for integro-differential equations mechanics and electromagnetic theory, SIAM Studies in Applied Mathematics, 3, Philadelphia, PA, 1981.
Nashed, M.Z., Ed., Generalized Inverses and Applications, New York, Academic Press, 1976.
Nashed, M.Z., IEEE Transactions on Antennas and Propagation, AP 29, 1981, pp. 220–231.
Sarkar, T.K., Weiner, D.D., and Jain, V.K., “Some Mathematical Considerations in Dealing with Inverse Problems”, IEEE Trans. Antennas and Propagation, AP-29, pp. 373–379, 1981.
Tikhonov, A.N, and Arsenin, V., Solution of ill-posed problems, New York, Winston-Wiley, 1977.
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© 1985 D. Reidel Publishing Company
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Boerner, WM. et al. (1985). Final Report of Working Discussion Group W-B on Numerical Instabilities in Electromagnetic Inverse Problems. In: Boerner, WM., et al. Inverse Methods in Electromagnetic Imaging. NATO ASI Series, vol 143. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5271-3_36
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DOI: https://doi.org/10.1007/978-94-009-5271-3_36
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