A New Selection Operator for the Discrete Empirical Interpolation Method - improved a priori error bound and extensions

@article{Drmac2016ANS,
  title={A New Selection Operator for the Discrete Empirical Interpolation Method - improved a priori error bound and extensions},
  author={Zlatko Drmac and Serkan Gugercin},
  journal={SIAM J. Scientific Computing},
  year={2016},
  volume={38}
}
This paper introduces a new framework for constructing the Discrete Empirical Interpolation Method (DEIM) projection operator. The interpolation nodes selection procedure is formulated using a QR factorization with column pivoting. This selection strategy leads to a sharper error bound for the DEIM projection error and works on a given orthonormal frame U as a point on the Stiefel manifold, i.e., the selection operator does not change if U is replaced by UQ with arbitrary unitary matrix Q. The… CONTINUE READING
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