Abstract
This article studies the convergence and practical implementation of the block version of the Kogbetliantz algorithm for computing the singular value decomposition (SVD) of general real or complex matrices. Global convergence is proved for simple singular values and the singular vectors, including the asymptotically quadratic reduction to diagonal form. The convergence can be guaranteed for certain parallel block pivot strategies as well. This bridges a theoretical gap, provides solid theoretical basis for parallel implementations of the block algorithm, and provides valuable insights.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.