External approximation of eigenvalue problems in Banach spaces
Regińska, Teresa
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 18 (1984), p. 161-174 / Harvested from Numdam
@article{M2AN_1984__18_2_161_0,
     author = {Regi\'nska, Teresa},
     title = {External approximation of eigenvalue problems in Banach spaces},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {18},
     year = {1984},
     pages = {161-174},
     mrnumber = {743883},
     zbl = {0554.65043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1984__18_2_161_0}
}
Regińska, Teresa. External approximation of eigenvalue problems in Banach spaces. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 18 (1984) pp. 161-174. http://gdmltest.u-ga.fr/item/M2AN_1984__18_2_161_0/

1. R. D. Brown, Convergence of approximation methods for eigenvalues of completely continuons quadratic forms, Rocky Mt. J. of Math. 10, No. 1, 1980, pp. 199-215. | MR 573871 | Zbl 0445.49043

2. F. Chatelin, The spectral approximation of linear operators with applications to the computation of eigenelements of differential and integral operators, SIAM Review, 23 No. 4, 1981, pp. 495-522. | MR 636082 | Zbl 0472.65048

3. F. Chatelin, J. Lemordant, Error bounds in the approximation of eigenvalues of differential and integral operators, J. Math. Anal. Appl. 62, No. 2, 1978, pp. 257-271. | MR 483398 | Zbl 0391.65023

4. F. Chatelin, Convergence of approximation methods to compute eigenelements of linear operators, SIAM J. Numer. Anal. 10, No. 5, 1973, pp. 939-948. | MR 349004 | Zbl 0266.65048

5. J. Descloux, N. Nassif, J. Rappaz, On spectral approximation , Part 1 : The problem of convergence, Part 2 : Error estimates for the Galerkin method, RAIRO Anal. Numer. 12, 1978, pp. 97-119. | Numdam | MR 483400 | Zbl 0393.65024

6. R. Glowinski, J. L. Lions, R. Trémolières, Numerical analysis of variational inequalities, 1981. | MR 635927 | Zbl 0463.65046

7. T. Kato, Perturbation theory for linear operators, Springer Verlag, Berlin, 1966. | MR 203473 | Zbl 0148.12601

8. T. Reginska, Convergence of approximation methods for eigenvalue problems for two forms, to appear. | MR 772268 | Zbl 0584.65033

9. T. Reginska, Eigenvalue approximation, Computational Mathematics, Banach Center Publications. | Zbl 0583.65035

10. F. Stummel, Diskrete Konvergenz linearer operatoren, I Math. Ann. 190, 1970, 45-92 ; II Math. Z. 120, 1971, pp. 231-264. | MR 291870 | Zbl 0203.45301

11. R. Temam, Numerical analysis, 1973. | Zbl 0261.65001

12. H. F. Weinberger, Variational methods for eigenvalue approximation, Reg. Conf. Series in Appl. Math. 15, 1974. | MR 400004 | Zbl 0296.49033