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Linear Algebra and its Applications
Article
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Linear Algebra and its Applications
Article . 2002
License: Elsevier Non-Commercial
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Linear Algebra and its Applications
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A modification of the Dewilde–van der Veen method for inversion of finite structured matrices

A modification of the Dewilde-van der Veen method for inversion of finite structured matrices
Authors: Eidelman, Y.; Gohberg, I.;

A modification of the Dewilde–van der Veen method for inversion of finite structured matrices

Abstract

The authors suggest an inversion method for a class of structured matrices with the property that the solution of a corresponding system of linear equations may be solved in \(O(n)\) operations. Complexity analysis and numerical experiments are given.

Related Organizations
Keywords

Numerical Analysis, Algebra and Number Theory, Inversion algorithms, Linear complexity algorithms, structured matrices, Direct numerical methods for linear systems and matrix inversion, complexity analysis, Factorization of matrices, matrix inversion, factorization, Discrete Mathematics and Combinatorics, Factorization algorithms, Theory of matrix inversion and generalized inverses, Geometry and Topology, numerical experiments, Structured matrices, Solution of linear equations, system of linear equations

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
38
Average
Top 10%
Top 10%
hybrid