THE MATRIX SIGN FUNCTION

Authors
KENNEY CS LAUB AJ
Citation
Cs. Kenney et Aj. Laub, THE MATRIX SIGN FUNCTION, IEEE transactions on automatic control, 40(8), 1995, pp. 1330-1348
Citations number
127
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
40
Issue
8
Year of publication
1995
Pages
1330 - 1348
Database
ISI
SICI code
0018-9286(1995)40:8<1330:TMSF>2.0.ZU;2-F
Abstract
A survey of the matrix sign function is presented including some histo rical background, definitions and properties, approximation theory and computational methods, and condition theory and estimation procedures , Applications to areas such as control theory, eigendecompositions, a nd roots of matrices are outlined, and some new theoretical results ar e also given.