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.
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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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

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