Acute perturbation for Moore-Penrose inverses of tensors via the T-Product
Acute perturbation for Moore-Penrose inverses of tensors via the T-Product
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DOI：
10.1007/s12190-021-01687-7
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发表时间：
2022-01
影响因子：
2.2
通讯作者：
Zhanlei Cong;Haifeng Ma
中科院分区：
文献类型：
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作者：
Zhanlei Cong;Haifeng Ma
In this paper, acute perturbation respect to Moore-Penrose inverse (denoted by MP inverse) for tensors under the T-product is studied. MP inverse of tensors can be expressed under the T-product by using T-SVD. We first provide the equivalent conditions for stable perturbation respect to the MP inverse. Next, the acute perturbation for MP inverse of tensors under the T-product is defined by T-spectral radius. Finally, the equivalent relation between acute perturbation and stable perturbation for MP inverse of tensors is presented.
