Abstract
It is well known that a totally nonnegative matrix can be characterized in terms of its bidiagonal factorization, which is critical to perform accurate computations. However, there is no known such factorization of other sign regular matrices. In this paper, we provide a characterization and test for certain sign regular matrices with the same signature sequence as that of nonsingular Jacobi sign regular matrices. Consequently, a bidiagonal factorization is derived for such sign regular matrix, which, in turn, provides an effective way to generate these sign regular matrices.
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.
