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The Stability of Inverse Problems

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Inverse Scattering Problems in Optics

Part of the book series: Topics in Current Physics ((TCPHY,volume 20))

Abstract

Many inverse problems arising in optics and other fields like geophysics, medical diagnostics and remote sensing, present numerical instability: the noise affecting the data may produce arbitrarily large errors in the solutions. In other words, these problems are ill-posed in the sense of Hadamard.

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Bertero, M., De Mol, C., Viano, G.A. (1980). The Stability of Inverse Problems. In: Baltes, H.P. (eds) Inverse Scattering Problems in Optics. Topics in Current Physics, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81472-3_5

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