Block-diagonalization and block-triangularization of a matrix via the matrix sign function

DOI10.1080/00207728408926636zbMath0565.93011OpenAlexW2083468509MaRDI QIDQ3680679

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Publication date: 1984

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728408926636

zbMATH Keywords

matrix sign functionmodal transformationmatrix sign algorithmRiccati-type problems

Mathematics Subject Classification ID

Related Items (4)

Model conversion and digital redesign of singular systems ⋮ Implementation of state-feedback control law for singular systems via an input-output feedback structure ⋮ Two-stage suboptimal discrete-time regulators for continuous-time stiff dynamic systems ⋮ Linear quadratic regulators with eigenvalue placement in a horizontal strip

Cites Work

• The matrix sign function and computations in systems
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
• A Riccati equation for block-diagonalization of ill-conditioned systems
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