On determination of eigenvalues and eigenvectors of selfadjoint operators
Applications of Mathematics, Tome 26 (1981) no. 3, pp. 161-170.
Voir la notice de l'article dans Czech Digital Mathematics Library
Two simple methods for approximate determination of eigenvalues and eigenvectors of linear self-adjoint operators are considered in the following two cases: (i) lower-upper bound $\lambda _1$ of the spectrum $\sigma (A)$ of $A$ is an isolated point of $\sigma (A)$; (ii) $\lambda _1$ (not necessarily an isolated point of $\sigma (A)$ with finite multiplicity) is an eigenvalue of $A$.
DOI :
10.21136/AM.1981.103908
Classification :
47A10, 47A70, 47B25, 49G20, 65J10
Mots-clés : eigenvalues; eigenvectors; self-adjoint operators; spectrum
Mots-clés : eigenvalues; eigenvectors; self-adjoint operators; spectrum
@article{10_21136_AM_1981_103908, author = {Kolom\'y, Josef}, title = {On determination of eigenvalues and eigenvectors of selfadjoint operators}, journal = {Applications of Mathematics}, pages = {161--170}, publisher = {mathdoc}, volume = {26}, number = {3}, year = {1981}, doi = {10.21136/AM.1981.103908}, mrnumber = {0615603}, zbl = {0469.65033}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103908/} }
TY - JOUR AU - Kolomý, Josef TI - On determination of eigenvalues and eigenvectors of selfadjoint operators JO - Applications of Mathematics PY - 1981 SP - 161 EP - 170 VL - 26 IS - 3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103908/ DO - 10.21136/AM.1981.103908 LA - en ID - 10_21136_AM_1981_103908 ER -
%0 Journal Article %A Kolomý, Josef %T On determination of eigenvalues and eigenvectors of selfadjoint operators %J Applications of Mathematics %D 1981 %P 161-170 %V 26 %N 3 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103908/ %R 10.21136/AM.1981.103908 %G en %F 10_21136_AM_1981_103908
Kolomý, Josef. On determination of eigenvalues and eigenvectors of selfadjoint operators. Applications of Mathematics, Tome 26 (1981) no. 3, pp. 161-170. doi : 10.21136/AM.1981.103908. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103908/
Cité par Sources :