The matrix sign function

The matrix sign function

A survey of the matrix sign function is presented including some historical background, definitions and properties, approximation theory and computational methods, and condition theory and estimation procedures, Applications to areas such as control theory, eigendecompositions, and roots of matrices...

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Veröffentlicht in:IEEE transactions on automatic control 1995-08, Vol.40 (8), p.1330-1348
Hauptverfasser: Kenney, C.S., Laub, A.J.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Approximation methods
Associate members
Computer science
control theory
systems
Control theory
Control theory. Systems
Eigenvalues and eigenfunctions
Estimation theory
Exact sciences and technology
Matrix decomposition
Reduced order systems
Riccati equations
System theory
Writing
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Beschreibung
Zusammenfassung:A survey of the matrix sign function is presented including some historical background, definitions and properties, approximation theory and computational methods, and condition theory and estimation procedures, Applications to areas such as control theory, eigendecompositions, and roots of matrices are outlined, and some new theoretical results are also given.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.402226