DocumentCode
306731
Title
Structure and convergence of conventional Jacobi-type methods minimizing the off-norm function
Author
Hüper, K. ; Helmke, U. ; Moore, J.B.
Author_Institution
Dept. of Math., Wurzburg Univ., Germany
Volume
2
fYear
1996
fDate
11-13 Dec 1996
Firstpage
2124
Abstract
Conventional Jacobi-type methods for the diagonalization of real symmetric matrices can be seen as achieving the optimization of the off-norm function on a homogeneous space. The critical point structure of this function is studied in detail. Conventional Jacobi-type algorithms are rederived, and their convergence properties are studied using the tools of global analysis
Keywords
Jacobian matrices; convergence; minimisation; Jacobi-type methods; convergence; critical point structure; diagonalization; global analysis; homogeneous space; off-norm function minimization; real symmetric matrices; Algorithm design and analysis; Control theory; Convergence; Eigenvalues and eigenfunctions; Jacobian matrices; Optimization methods; Parallel processing; Signal processing algorithms; Symmetric matrices; Systems engineering and theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location
Kobe
ISSN
0191-2216
Print_ISBN
0-7803-3590-2
Type
conf
DOI
10.1109/CDC.1996.572922
Filename
572922
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