Vol. 6, №1, 2014


Evtikhov M. G.
Kotel’nikov Institute of Radio Engineering and Electronics, Branch in Fryazino, Russian Academy of Sciences, http://fire.relarn.ru
141120 Fryazino, Moscow region, Russian Federation

Received 05.04.2013
Presented by Corresponding Member of RANS V.I.Grachev 09.04.2013

Considered extensive product, generalization of the matrix multiplication on tensor geometric objects. When using extensive product is not necessary to explicitly specify the indexes of geometric objects. Software implementation of the operations of addition and multiplication allow sparse algorithms, similar algorithms for sparse matrices. Examines the use of extensive multiplication extremely sparse objects to transform complex formulas, both manually and in symbolic computation system. Discusses the use of the extensive work to set targets with infinite matrices, Maxwell's equations, the general equations of optics homogeneous anisotropic media.

Keywords: tensor, geometric objects, sparse matrices, the Maxwell’s equations, the optics of anisotropic media.

UDC 512.642, 530.171

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2013, 5(1):143-151

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