Direct and Iterative Kaczmarz-like Solvers

@inproceedings{Popa2006DirectAI,
  title={Direct and Iterative Kaczmarz-like Solvers},
  author={Constantin Popa},
  year={2006}
}
Starting from an extension of the classical Kaczmarz’s iterative method, presented by the author in a previous work, we construct in the present paper a direct solver for the computation of the minimal norm solution of inconsistent and rank-deficient leastsquares problems. The construction is made by introducing in the original iteration a set of supplementary directions for projection. In the second part of the paper we analyse the possibility to introduce in each iteration of the classical… CONTINUE READING