A Jacobi-type method for computing balanced realizations

DOI10.1016/S0167-6911(99)00079-1zbMath0985.93016OpenAlexW2058309215MaRDI QIDQ5958826

K. Hüper, Uwe R. Helmke

Publication date: 3 March 2002

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(99)00079-1

zbMATH Keywords

quadratic convergencecost functionbalancingHankel singular valuesJacobi-type methodlocal quadratic convergence

Mathematics Subject Classification ID

System structure simplification (93B11)

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Cites Work

• Note on the quadratic convergence of the cyclic Jacobi process
• On the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition
• On Kogbetliantz's SVD algorithm in the presence of clusters
• Optimization and dynamical systems
• On the quadratic convergence of the special cyclic Jacobi method
• Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
• Balanced realizations: canonical form, parametrization, model reduction
• Synthesis of minimum roundoff noise fixed point digital filters
• A Schur method for balanced-truncation model reduction
• Recursive Algorithms for Solving a Class of Nonlinear Matrix Equations with Applications to Certain Sensitivity Optimization Problems
• Balanced Realizations for Linear Systems: A Variational Approach
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