Title :
Computation of matrix nth roots and the matrix sector function
Author :
Hasan, Mohammed A. ; Hasan, Ali A. ; Ejaz, Khaled B.
Author_Institution :
Dept. of Electr. & Comput. Eng., Minnesota Univ., Duluth, MN, USA
Abstract :
Several linear and higher order methods to compute nth roots of a given real or complex matrix are presented. These include Newton-like, subspace, and Krylov type methods. As a special case, the matrix sector function and other roots of an identity matrix are computed and shown to be an efficient numerical tool for computing a block eigen-decompsition of a given matrix
Keywords :
Newton method; eigenvalues and eigenfunctions; matrix algebra; Krylov type methods; Newton-like methods; block eigen-decompsition; complex matrix; higher order methods; linear methods; matrix sector function; nth roots; real matrix; subspace methods; Continuous time systems; Educational institutions; Eigenvalues and eigenfunctions; Iterative methods; Linear systems; Mathematical model; Mathematics; Matrix decomposition; Physics; Riccati equations;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980812
