Matrix inversion and the solution of systems of linear and non-linear equations by the method of bordering
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 803-810
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The method of bordering and the Gauss–Jordan method for matrix inversion are shown to be identical. Some consequences of this face are discussed. An algorithm for solving systems of linear equations by the method of bordering is proposed, along with a modification of Newton's method for the non-linear case.
@article{ZVMMF_1979_19_4_a0,
author = {J. Gergely},
title = {Matrix inversion and the solution of systems of linear and non-linear equations by the method of bordering},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {803--810},
publisher = {mathdoc},
volume = {19},
number = {4},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a0/}
}
TY - JOUR AU - J. Gergely TI - Matrix inversion and the solution of systems of linear and non-linear equations by the method of bordering JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 803 EP - 810 VL - 19 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a0/ LA - ru ID - ZVMMF_1979_19_4_a0 ER -
%0 Journal Article %A J. Gergely %T Matrix inversion and the solution of systems of linear and non-linear equations by the method of bordering %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1979 %P 803-810 %V 19 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a0/ %G ru %F ZVMMF_1979_19_4_a0
J. Gergely. Matrix inversion and the solution of systems of linear and non-linear equations by the method of bordering. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 803-810. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a0/