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
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;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.572922
