Geodesic
Convergence of approximation methods for eigenvalue problem for two forms
Applications of Mathematics, Tome 29 (1984) no. 5, pp. 333-341.

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The paper concerns an approximation of an eigenvalue problem for two forms on a Hilbert space $X$. We investigate some approximation methods generated by sequences of forms $a_n$ and $b_n$ defined on a dense subspace of $X$. The proof of convergence of the methods is based on the theory of the external approximation of eigenvalue problems. The general results are applied to Aronszajn's method.
DOI : 10.21136/AM.1984.104103
Classification : 35P15, 47A10, 47A55, 47A70, 49G15, 65F15, 65J10
Keywords: external approximation; eigenvalue problem; bilinear forms; spectral approximation; convergence 
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     author = {Regi\'nska, Teresa},
     title = {Convergence of approximation methods for eigenvalue problem for two forms},
     journal = {Applications of Mathematics},
     pages = {333--341},
     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104103/}
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Regińska, Teresa. Convergence of approximation methods for eigenvalue problem for two forms. Applications of Mathematics, Tome 29 (1984) no. 5, pp. 333-341. doi : 10.21136/AM.1984.104103. http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104103/

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