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Zh. Vychisl. Mat. Mat. Fiz., 2010, Volume 50, Number 1, Pages 10–15 (Mi zvmmf4807)  

Subdirect sums and differences for some classes of matrices

Kh. D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

Abstract: The classes of accretive, dissipative, and accretive-dissipative matrices are shown to be closed with respect to taking a sub-direct sum, while the classes of $\mathrm{SQD}$ and $\mathrm{BG}$ matrices are closed with respect to taking a sub-direct difference. Computational consequences of these facts are discussed.

Key words: accretive matrices, dissipative matrices, accretive-dissipative matrices, symmetric quasidefinite matrices, $\mathrm{BG}$ matrices ,sub-direct sums, sub-direct differences.

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English version:
Computational Mathematics and Mathematical Physics, 2010, 50:1, 7–11

Bibliographic databases:

UDC: 519.614
Received: 20.03.2009

Citation: Kh. D. Ikramov, “Subdirect sums and differences for some classes of matrices”, Zh. Vychisl. Mat. Mat. Fiz., 50:1 (2010), 10–15; Comput. Math. Math. Phys., 50:1 (2010), 7–11

Citation in format AMSBIB
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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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