The development of an approach for the solution of the fourth degree algebraic equation
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 29-38
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Connections between roots of an equation and its resolvent are deduced. Statements establishing the membership of roots to the set of real numbers or to the set of complex numbers with nonzero imaginary parts without solving the equation are proposed. Formulas for calculating the components of equation roots are deduced.
Mots-clés :
equation, solution, table.
@article{VTGU_2013_4_a3,
author = {Yu. A. Nesmeev},
title = {The development of an approach for the solution of the fourth degree algebraic equation},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {29--38},
publisher = {mathdoc},
number = {4},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_4_a3/}
}
TY - JOUR AU - Yu. A. Nesmeev TI - The development of an approach for the solution of the fourth degree algebraic equation JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2013 SP - 29 EP - 38 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2013_4_a3/ LA - ru ID - VTGU_2013_4_a3 ER -
%0 Journal Article %A Yu. A. Nesmeev %T The development of an approach for the solution of the fourth degree algebraic equation %J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika %D 2013 %P 29-38 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTGU_2013_4_a3/ %G ru %F VTGU_2013_4_a3
Yu. A. Nesmeev. The development of an approach for the solution of the fourth degree algebraic equation. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 29-38. http://geodesic.mathdoc.fr/item/VTGU_2013_4_a3/