5027720110

Modelowanie Matematyczne w Fizyce i Technice

where

(4)

=₁-s₁+s₂-...₊(-irx

where the variables A.., p_j5 q_k are given in the article [5] and S, are the symmetric polynomials due to three groups of variables. The symmetric polynomials S_t we calculate recursively from the Newton formulas for the basie symmetric and power polynomials. Naturally, this procedurę reąuires the calculation algorithm. This algorithm is given in the our paper.

Keywords: błock matrices, symmetric polynomials

References

[1]    Biernat G., Lara-Dziembek S., Pawlak E., The determinants of the three-band błock matrices, Scientific Research of the Institute of Mathematics and Computer Science, 2012, 3(11), 5-8.

[2]    Biernat G., Lara-Dziembek S., Pawlak E., The determinants of the błock band matrices based on the n- dimensional Fourier equation. Part 1, Journal of Applied Mathematics and Computational Mechanics, 2013, 3(12), 5-13.

[3]    Mostowski A., Stark M., Elementy algebry wyższej, PWN, Warszawa 1975.

[4]    Biernat G., Lara-Dziembek S., Pawlak E., Symmetric polynomials in the 2D Fourier eąuation, Journal of Applied Mathematics and Computational Mechanics, 2014,4(13), 5-12.

[5]    Biernat G., Lara-Dziembek S., Pawlak E., Symmetric polynomials in the 3D Fourier eąuation, Journal of Applied Mathematics and Computational Mechanics, 2015,1(14), 5-12.

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