Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897991 | Linear Algebra and its Applications | 2018 | 23 Pages |
Abstract
We provide necessary and sufficient conditions for the generalized â-Sylvester matrix equation, AXB+CXâD=E, to have exactly one solution for any right-hand side E. These conditions are given for arbitrary coefficient matrices A, B, C, D (either square or rectangular) and generalize existing results for the same equation with square coefficients. We also review the known results regarding the existence and uniqueness of solution for generalized Sylvester and â-Sylvester equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fernando De Terán, Bruno Iannazzo, Federico Poloni, Leonardo Robol,