Iterative Methods for large linear systems of equations
Iterative methods for the solution of linear systems of equations produce a
sequence of approximate solutions. In many applications it is desirable to
be able to compute estimates of the norm of the error in the approximate
solutions generated and terminate the iterations when the estimates are
sufficiently small. This research focuses on new iterative methods based on the
Lanczos process for the solution of linear systems of equations
as well as on the computation of bounds and estimates of the norm of the error in the approximate
solutions. These estimates are determined by evaluating certain Gauss,
anti-Gauss, or Gauss-Radau quadrature rules.
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