On the unique solution of a class of absolute value equations Ax−B|Cx|=d
In this paper, a class of absolute value equations (AVE) $ Ax-B|Cx| = d $ with $ A, B, C\in \mathbb{R}^{n\times n} $ is considered, which is a generalized form of the published works by Wu <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>, Wu and Shen &...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-06-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021517?viewType=HTML |
| Summary: | In this paper, a class of absolute value equations (AVE) $ Ax-B|Cx| = d $ with $ A, B, C\in \mathbb{R}^{n\times n} $ is considered, which is a generalized form of the published works by Wu <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>, Wu and Shen <sup>[<xref ref-type="bibr" rid="b2">2</xref>]</sup> and Mezzadri <sup>[<xref ref-type="bibr" rid="b3">3</xref>]</sup>. Some conditions to guarantee the unique solution of the above AVE are gained. The corresponding results of the above published works are generalized. |
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| ISSN: | 2473-6988 |