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Lecture 3 (January 16, 2015)

Image RemovedOne-dimensional convolution in both continuous and discrete form. First example of the failure of naive inversion in the case of an ill-posed problem. Book sections 2.1.2 and 2.1.3.

Matlab resources: DC_convmtx.mdeconv1_cont_comp.mdeconv1_cont_plot.m
deconv2_discretedata_comp.mdeconv2_discretedata_plot.mdeconv3_naive_comp.mdeconv3_naive_plot.m

Lecture 4 (January 21, 2015)

Image AddedSingular value decomposition of matrices and how it explains the instability of naive inversion.

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Matlab resources

 

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Exams

There will be an exam after the lecture part of the course.

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