Computation of projections and eigen distribution in half-planes and disks

Mohammed A Hasan, Ali A. Hasan

Research output: Contribution to journalConference articlepeer-review

Abstract

This paper provides ecient solutions to the problem of computing projections onto invariant subspaces of a nonsingular matrix corresponding to eigenvalues in specified region in the complex plane such as the Inside or the outside of a circle, half planes or horizontal and vertical strips. Additionally, new form of matrix decompositions called "sector factorization" is introduced in which the polar and sign decompositions are special cases. The main results are based on properties of matrices whose squares are the identity matrix. Several power-like methods for computing the proposed factorizations, particularly the sign and polar decompositions are developed.

Original languageEnglish (US)
JournalProceedings - IEEE International Symposium on Circuits and Systems
Volume4
StatePublished - Jul 14 2003
EventProceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand
Duration: May 25 2003May 28 2003

Fingerprint Dive into the research topics of 'Computation of projections and eigen distribution in half-planes and disks'. Together they form a unique fingerprint.

Cite this