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New weighted generalized inverses expand the properties of EP and group inverses, suggesting deeper insights into matrix theory.
We introduce a new class of weighted generalized inverses, which represent a natural extension of the EP inverse and the weighted group inverse. Fundamental properties of this new generalized inverse are established. Furthermore, we investigate the decomposition associated with the weighted EP element, extending many properties of EP elements to a broader context.
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Huanyin Chen (2025) studied this question.
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