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SIAM Journal on Mathematical Analysis
Article . 1971 . Peer-reviewed
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https://dx.doi.org/10.1137/050...
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On a Differential Equation for the Eigenvectors of a Real Symmetric Matrix

On a differential equation for the eigenvectors of a real symmetric matrix
descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1971 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 2, pages 413-419 (issn: 0036-1410, eissn: 1095-7154, Copyright policy )
Authors: Saperstone, S. H.;

doi: 10.1137/0502039

On a Differential Equation for the Eigenvectors of a Real Symmetric Matrix

Abstract

For a given real symmetric matrix, a differential equation is established which has the property that eigenvectors of the matrix are asymptotically stable solutions for the differential equation. A Lyapunov function is constructed for this purpose, and subsequently, the regions of stability for the equation are characterized.

Keywords

Stability of solutions to ordinary differential equations

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selected citations
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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!
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