Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of the core-EP inverse and its applications   In this paper, firstly we study the continuity of the core-EP inverse without
explicit error bounds by virtue of two methods. One is the rank equality,
followed from the classical generalized inverse. The other one is matrix
decomposition. The continuity of the core inverse can be derived as a
particular case. Secondly, we study perturbation bounds for the core-EP inverse
under prescribed conditions. Perturbation bounds for the core inverse can be
derived as a particular case. Also, as corollaries, the sufficient (and
necessary) conditions for the continuity of the core-EP inverse are obtained.
Thirdly, a numerical example is illustrated to compare the derived upper
bounds. Finally, an application to semistable matrices is provided.

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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex