Title :
The matrix sign function
Author :
Kenney, Charles S. ; Laub, Alan J.
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
fDate :
8/1/1995 12:00:00 AM
Abstract :
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
Keywords :
approximation theory; control systems; control theory; eigenvalues and eigenfunctions; matrix algebra; approximation theory; computational methods; condition theory; control theory; eigendecompositions; estimation procedures; matrix roots; matrix sign function; Approximation methods; Associate members; Control theory; Eigenvalues and eigenfunctions; Estimation theory; Helium; Matrix decomposition; Reduced order systems; Riccati equations; Writing;
Journal_Title :
Automatic Control, IEEE Transactions on
