Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 631-639
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A version of the orthogonal pivotal condensation method for solving boundary value problems for systems of linear ordinary differential equations is examined. During the orthogonalization the basis vectors are newly resolved at each step, using the eigenvectors and eigenvalues of the matrix of the system at the point of orthogonalization.
@article{ZVMMF_1979_19_3_a6,
author = {A. A. Bykov and A. S. Il'inskii},
title = {Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {631--639},
publisher = {mathdoc},
volume = {19},
number = {3},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a6/}
}
TY - JOUR AU - A. A. Bykov AU - A. S. Il'inskii TI - Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 631 EP - 639 VL - 19 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a6/ LA - ru ID - ZVMMF_1979_19_3_a6 ER -
%0 Journal Article %A A. A. Bykov %A A. S. Il'inskii %T Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1979 %P 631-639 %V 19 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a6/ %G ru %F ZVMMF_1979_19_3_a6
A. A. Bykov; A. S. Il'inskii. Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 631-639. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a6/