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Approximation operators for matrix-valued functions based on matrix decompositions

Given a set of matrices, modeled as samples of a matrix-valued function, we suggest a method to approximate the underline function using a product approximation operator. This operator extends known approximation methods by exploiting the structure of the matrices in the samples set, and based on decomposition theorems. We introduce our approach in detail and discuss its advantages using a few examples. In addition, we provide basic tools for analyzing properties of the matrix functions generated by our approximation operators.

preprint2016arXivOpen access
Nira DynUri ItaiNir Sharon
math.NA
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Open access3 authors1 topic
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Nira DynUri ItaiNir Sharon

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