Obtaining minimal Gerschgorin discs by scaling the states

DOI10.1080/00207178508933419zbMath0635.65048OpenAlexW2069883124MaRDI QIDQ3774834

T. W. C. Williams

Publication date: 1985

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178508933419

zbMATH Keywords

balancingPerron rootPerron vectorscalingsGerschgorin disks

Mathematics Subject Classification ID

Related Items (1)

Hessenberg and Hessenberg/triangular forms in linear system thcory†

Uses Software

• EISPACK

Cites Work

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• Optimally scaled matrices
• Absolute norms and characteristic roots
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Matrix eigensystem routines. EISPACK guide extension
• Further discussion on the calculation of transmission zeros
• Balancing a matrix for calculation of eigenvalues and eigenvectors
• On Pre-Conditioning of Matrices
• Error Analysis of Direct Methods of Matrix Inversion
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Balancing the Generalized Eigenvalue Problem

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