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I have not been able to obtain a clear definition of what is currently called a 'continuous matrix' nor 'continuous matrix operators.'

It is unclear if the definition would involve a matrix with continuous elements such as continuous functions, or if somehow the matrix itself is to be considered continuous. In the latter case, I would imagine an example of a continuous matrix to be the Green's Function for a function, where integration of a function by its Green's function would be akin to some sort of continuous matrix multiplication.

So I would like to ask:

  1. What is the current accepted definition for a continuous matrix and a continuous matrix operator?

  2. Is there an existing definition for a continuous matrix, of the type I mention, where Green's Function is an example of such a matrix?

  3. If there is such a definition (2.) then does someone know of a clear reference for the theory? I would appreciate both pure and applied works.

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    Thank you for your responses. If a definition was not readily available then either the theory doesn't exist or is not widely disseminated, which answers my question.2011-08-30

2 Answers 2

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The question has been answered.

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    ... in the comments.2011-08-30
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The term is frequently used in OpenCV when you want to reshape a matrix cv.Reshape() or perform other operations such as implement K-Means algorithm cv.KMeans2() .. I am also trying to find a clear concise definition of the term 'continuous matrix' but have not been able to find one.