Newton's method as a tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2107-2112
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An iterative algorithm is examined for finding the eigenvalues of the two-parameter (multiparameter) algebraic eigenvalue problem. This algorithm uses Newton's method and an efficient numerical procedure for differentiating determinants. Some numerical examples are given.
@article{ZVMMF_2008_48_12_a2,
author = {B. M. Podlevskii},
title = {Newton's method as a~tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2107--2112},
publisher = {mathdoc},
volume = {48},
number = {12},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a2/}
}
TY - JOUR AU - B. M. Podlevskii TI - Newton's method as a tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2008 SP - 2107 EP - 2112 VL - 48 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a2/ LA - ru ID - ZVMMF_2008_48_12_a2 ER -
%0 Journal Article %A B. M. Podlevskii %T Newton's method as a tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2008 %P 2107-2112 %V 48 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a2/ %G ru %F ZVMMF_2008_48_12_a2
B. M. Podlevskii. Newton's method as a tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2107-2112. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a2/