Linear Inverse Problems
In the case of a discrete linear inverse problem describing a linear system, (the model parameters) and (the best model) are vectors, and the problem can be written as
where is a matrix (an operator ), often called the observation matrix.
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“Yet time and space are but inverse measures of the force of the soul. The spirit sports with time.”
—Ralph Waldo Emerson (1803–1882)
“The truth of the thoughts that are here set forth seems to me unassailable and definitive. I therefore believe myself to have found, on all essential points, the final solution of the problems. And if I am not mistaken in this belief, then the second thing in which the value of this work consists is that it shows how little is achieved when these problems are solved.”
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