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- W2268043056 abstract "Let $mathcal{A}$ be an order $t$ dimension $mtimes ntimes cdots times n$ tensor over complex field. In this paper, we study some {generalized inverses} of $mathcal{A}$, the {$k$-T-idempotent tensors} and the idempotent tensors based on the general tensor product. Using the tensor generalized inverse, some solutions of the equation $mathcal{A}cdot x^{t-1}=b$ are given, where $x$ and $b$ are dimension $n$ and $m$ vectors, respectively. The {generalized inverses} of some block tensors, the eigenvalues of {$k$-T-idempotent tensors} and idempotent tensors are given. And the relation between the generalized inverses of tensors and the $k$-T-idempotent tensors is also showed." @default.
- W2268043056 created "2016-06-24" @default.
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- W2268043056 date "2014-12-23" @default.
- W2268043056 modified "2023-09-23" @default.
- W2268043056 title "Some results on the generalized inverse of tensors and idempotent tensors" @default.
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- W2268043056 doi "https://doi.org/10.48550/arxiv.1412.7430" @default.
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