The unique solution of a class of the new generalized absolute value equation

In this paper, we present some useful necessary and sufficient conditions for the unique solvability of a class of the new generalized absolute value equation (NGAVE) Ax−|Bx|=d with A,B∈Rn×n from the optimization field. Incidentally, some sufficient conditions for the unique solvability of a class o...

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Bibliographic Details
Published inApplied mathematics letters Vol. 116; p. 107029
Main Author Wu, Shi-Liang
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2021
Subjects
Necessary and sufficient condition
New generalized absolute value equation
Unique solution
Unique solution
Necessary and sufficient condition
New generalized absolute value equation
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Summary:In this paper, we present some useful necessary and sufficient conditions for the unique solvability of a class of the new generalized absolute value equation (NGAVE) Ax−|Bx|=d with A,B∈Rn×n from the optimization field. Incidentally, some sufficient conditions for the unique solvability of a class of the NGAVE are obtained as well.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2021.107029