Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ SIAM Journal on Matr...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
SIAM Journal on Matrix Analysis and Applications
Article
Data sources: UnpayWall
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article
Data sources: zbMATH Open
SIAM Journal on Matrix Analysis and Applications
Article . 1988 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.1137/060...
Article
Data sources: Microsoft Academic Graph
https://dx.doi.org/10.1137/060...
Article
Data sources: Microsoft Academic Graph
 View all 2 versions
Claim

Inequalities for the Trace of Matrix Exponentials

Inequalities for the trace of matrix exponentials
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1988 United States English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Matrix Analysis and Applications, volume 9, pages 156-158 (issn: 0895-4798, eissn: 1095-7162, Copyright policy )
Authors: Bernstein, Dennis S.;

doi: 10.1137/0609012

handle: 2027.42/57825

Inequalities for the Trace of Matrix Exponentials

Abstract

L'A. établit une inégalité relative à la trace de matrices exponentielles: si A est une matrice non-normale, \(tr e^ Ae^{A^ T}\leq tr e^{A+A^ T}.\) On retrouve alors le cas particulier où, A et B étant deux matrices symétriques, \(tr e^{A+B}\leq tr e^ Ae^ B.\)

Country
United States
Related Organizations
Keywords

Engineering, inequality, Miscellaneous inequalities involving matrices, Aerospace Engineering, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Golden-Thompson inequality, trace, matrix exponential

  • BIP!
    Impact byBIP!
    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).
    		 19
    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.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
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!
19
Average
Top 10%
Average
bronze