Abstract
The explicit structure of the inverse of block tridiagonal matrices is presented in terms of blocks defined by linear recurrence relations. Parallel algorithms are shown which solve block second order linear recurrences without using commutativity. Moreover we investigate the parallel solution of the associated block tridiagonal linear system. Using this theoretical background, the implementation of the algorithms is analyzed both on a small number of processors and on a hypercube. The resulting complexity is given in terms of parallel steps, each consisting of block operations, and the cost due to interprocessor communications is taken into account, too.
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.