Approximation operators for matrix-valued functions based on matrix decompositions
Numerical Analysis
2016-11-15 v1
Abstract
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.
Cite
@article{arxiv.1611.03893,
title = {Approximation operators for matrix-valued functions based on matrix decompositions},
author = {Nira Dyn and Uri Itai and Nir Sharon},
journal= {arXiv preprint arXiv:1611.03893},
year = {2016}
}