Geodesic
Iterative solution of the secular equation
Matematičeskie zametki, Tome 77 (2005) no. 2, pp. 303-310

Voir la notice de l'article provenant de la source Math-Net.Ru

The secular equation with real symmetric positive definite $n\times n$ matrix is transformed into a system of $n^2$ quadratic equations for which it is possible to construct a convergent procedure realizing an iterative solution. An example of the numerical realization of the method for solving the problem of determining the electronic energy spectrum is given. 
@article{MZM_2005_77_2_a10,
     author = {L. S. Chkhartishvili},
     title = {Iterative solution of the secular equation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {303--310},
     publisher = {mathdoc},
     volume = {77},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_2_a10/}
}
TY  - JOUR
AU  - L. S. Chkhartishvili
TI  - Iterative solution of the secular equation
JO  - Matematičeskie zametki
PY  - 2005
SP  - 303
EP  - 310
VL  - 77
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_77_2_a10/
LA  - ru
ID  - MZM_2005_77_2_a10
ER  - 
%0 Journal Article
%A L. S. Chkhartishvili
%T Iterative solution of the secular equation
%J Matematičeskie zametki
%D 2005
%P 303-310
%V 77
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2005_77_2_a10/
%G ru
%F MZM_2005_77_2_a10
L. S. Chkhartishvili. Iterative solution of the secular equation. Matematičeskie zametki, Tome 77 (2005) no. 2, pp. 303-310. http://geodesic.mathdoc.fr/item/MZM_2005_77_2_a10/