NANAFeb 24, 2010

Two stable modifications of the finite section method

arXiv:1002.46451 citationsh-index: 15
Originality Synthesis-oriented
AI Analysis

Provides theoretical tools for numerical analysis of band-dominated operators, but the contribution is incremental as it modifies an existing method.

The paper presents two modified finite section methods for band-dominated operators when the classical method is unstable, providing explicit applicability criteria for each.

In this article we demonstrate and compare two modified versions of the classical finite section method for band-dominated operators in case the latter is not stable. For both methods we give explicit criteria for their applicability.

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