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A solution method for compact linear operator equations based on the Arnoldi process
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DOI：10.1088/1361-6420/adfe14.png)
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Abstract
En 中文
This paper is concerned with the solution of linear operator equations with a compact operator. These operators do not have a bounded inverse and therefore these kinds of equations have to be regularized before solution. The Arnoldi process provides a convenient way to reduce a compact operator to a nearby operator of finite rank and regularization is achieved with Tikhonov's method. This paper investigates properties of this simple solution approach. Computed examples illustrate the theory presented.
Keywords:
linear ill-posed problem
compact operator
Arnoldi decomposition
regularization
Journal
I
IF:
2.1
Papers:
97
Citations:
8.4K