The Inverse of a Nearly Banded Matrix

Details The Inverse of a Nearly Banded Matrix The Inverse of a Nearly Banded Matrix

2008-11-30

arxiv.org/abs/0812.0172v1

Mathematics

Numerical Analysis

Scientific paper

A quantitative form of the Nullity Theorem is presented, which establishes a
linear relation between the singular values of the two submatrices involved in
the theorem up to the first order. The theorem is then extended to function
spaces and a corresponding form in infinite dimension is discussed.

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