On the Stability of the Generalized Schur Algorithm
NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Overview of total least-squares methods
Signal Processing
The matrix-restricted total least-squares problem
Signal Processing
Fast robust regression algorithms for problems with Toeplitz structure
Computational Statistics & Data Analysis
High-performance numerical algorithms and software for structured total least squares
Journal of Computational and Applied Mathematics
Structured Total Maximum Likelihood: An Alternative to Structured Total Least Squares
SIAM Journal on Matrix Analysis and Applications
Reciprocity calibration techniques, implementation on the OpenAirInterface platform
Proceedings of the 4th International Conference on Cognitive Radio and Advanced Spectrum Management
Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions
Journal of Computational and Applied Mathematics
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In this paper we develop a fast algorithm for the basic deconvolution problem. First we show that the kernel problem to be solved in the basic deconvolution problem is a so-called structured total least squares problem. Due to the low displacement rank of the involved matrices and the sparsity of the generators, we are able to develop a fast algorithm. We apply the new algorithm on a deconvolution problem arising in a medical application in renography. By means of this example, we show the increased computational performance of our algorithm as compared to other algorithms for solving this type of structured total least squares problem. In addition, Monte-Carlo simulations indicate the superior statistical performance of the structured total least squares estimator compared to other estimators such as the ordinary total least squares estimator.