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Zh. Vychisl. Mat. Mat. Fiz., 2012, Volume 52, Number 6, Page 979 (Mi zvmmf9613)  

Method of finding inverse matrix order $N$

A. N. Lavrenov

Minsk Institute of Management, 12 Lazo Street, Minsk, 220102, Republic of Belarus

Abstract: A linear parameterization of group $GL(N,C)$ formed by certain basis of matrices with in advance known symmetry properties is offered. The concept of the canonical basis is introduced by means of direct product of the corresponding so-called generalized Gell-Mann matrices. The properties of this canonical basis are enumerated and proved; algorithm of finding inverse matrix order $N$ in canonical basis is proposed.

Key words: linear group, canonical basis, direct product, generalized Gell-Mann matrices, inverse matrix

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English version:
Computational Mathematics and Mathematical Physics, 2012, 52:6, 831–835

Bibliographic databases:

UDC: 519.613
Received: 23.06.2011
Language:

Citation: A. N. Lavrenov, “Method of finding inverse matrix order $N$”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012), 979; Comput. Math. Math. Phys., 52:6 (2012), 831–835

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