Abstract
This paper provides solutions to the problem of computing projections onto invariant subspaces of a nonsingular matrix corresponding to eigenvalues in specified regions in the complex plane such as the inside or the outside of a circle, half planes or horizontal and vertical strips. Additionally, a new form of matrix decomposition 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
