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This paper introduces notions of the Drazin and the core-EP inverses on tensors via M-product. We propose a few properties of the Drazin and core-EP inverses of tensors, as well as effective tensor-based algorithms for calculating these inverses. In
Externí odkaz:
http://arxiv.org/abs/2405.16111
Publikováno v:
In Mathematics and Computers in Simulation November 2024 225:1-12
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 February 2025 542(1)
Publikováno v:
In Information and Computation December 2024 301 Part B
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2024 533(2)
Publikováno v:
In Applied Mathematics and Computation 15 March 2024 465
Autor:
Stanimirović, Predrag S., Mourtas, Spyridon D., Mosić, Dijana, Katsikis, Vasilios N., Cao, Xinwei, Li, Shuai
Publikováno v:
In Applied Mathematics and Computation 15 March 2024 465
Publikováno v:
In Theoretical Computer Science 27 February 2024 986
Publikováno v:
In Applied Mathematics and Computation 15 March 2025 489
Autor:
Sahoo, Jajati Kesahri, Behera, Ratikanta, Stanimirovic, Predrag S., Katsikis, Vasilios N., Ma, Haifeng
Specific definitions of the core and core-EP inverses of complex tensors are introduced. Some characterizations, representations and properties of the core and core-EP inverses are investigated. The results are verified using specific algebraic appro
Externí odkaz:
http://arxiv.org/abs/1905.07874