English

The Inverse of a Nearly Banded Matrix

Numerical Analysis 2008-12-02 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0812.0172,
  title  = {The Inverse of a Nearly Banded Matrix},
  author = {Ruitian Lang},
  journal= {arXiv preprint arXiv:0812.0172},
  year   = {2008}
}