In this article, we investigate the solution of a new class of the absolute
value equation (NCAVE) A1x ? |B1x ? c| = d. Based on spectral radius
condition, singular value condition and row and column W-property, some
necessary and sufficient conditions for unique solvability for NCAVE are
gained. Some new results for the unique solvability of the new generalized
absolute value equation (NGAVE) A1x?|B1x| = d are also obtained.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.