DocumentCode
427663
Title
An iterative algorithm converging to the principal subspace projection operator with applications
Author
Manton, Jonathan H. ; Hua, Yingbo ; Reilly, James P.
Author_Institution
Dept. of Electr. & Electron. Eng., Melbourne Univ., Vic., Australia
Volume
1
fYear
2004
fDate
7-10 Nov. 2004
Firstpage
140
Abstract
This paper analyses a simple method for iteratively computing the projection operator whose range space is the principal subspace of a given matrix. The iteration appears to be numerically very stable and is proven to converge at a quadratic rate. Several applications are briefly explored, as are extensions to Jordan algebras and C*-algebras.
Keywords
iterative methods; matrix algebra; signal processing; C*-algebras; Jordan algebras; iterative algorithm convergence; principal subspace; projection operator; quadratic rate; Algebra; Algorithm design and analysis; Application software; Australia Council; Eigenvalues and eigenfunctions; Iterative algorithms; Performance analysis; Polynomials; Signal processing; Signal processing algorithms;
fLanguage
English
Publisher
ieee
Conference_Titel
Signals, Systems and Computers, 2004. Conference Record of the Thirty-Eighth Asilomar Conference on
Print_ISBN
0-7803-8622-1
Type
conf
DOI
10.1109/ACSSC.2004.1399107
Filename
1399107
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