Abstract
We provide a complete study of existence and uniqueness (uniqueness up to multiples in the case d = 0 ) of non-negative and non-trivial solutions x for the linear system ( I − A ) x = d with A ≥ 0 , d ≥ 0 (which, in particular, applies to Leontief's Input–Output Model). This study is done in terms of the block triangular form of the matrix A and is related to a directed graph associated to A . In particular, this study of existence and uniqueness up to multiples of solutions provides a framework that allows us to rigorously perform a sensitivity analysis of the normalized solutions of the linear system ( I − A ) x = d .
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.
