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Computers & Mathematics with Applications
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Inversion formulas and linear complexity algorithm for diagonal plus semiseparable matrices

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1997 English Publisher:Elsevier BVJournal:Computers & Mathematics with Applications, volume 33, pages 69-79 (issn: 0898-1221, Copyright policy )
Authors: Eidelman, Y.; Gohberg, I.;

doi: 10.1016/s0898-1221(97)00008-4

Inversion formulas and linear complexity algorithm for diagonal plus semiseparable matrices

Abstract

Sums of diagonal and semiseparable matrices belong to the class of structured matrices which arises in numerical applications. Fast \(O(N)\) algorithms for their inversion were developed earlier under additional restrictions which were a source of instability. For semiseparable matrices of order one these restrictions are eliminated.

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Keywords

Semiseparable matrices, Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, semiseparable matrices, linear complexity algorithm, inversion formulas, Linear complexity algorithm, Direct numerical methods for linear systems and matrix inversion

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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!
33
Average
Top 10%
Top 10%
hybrid