Rayleigh-Ritz and A. Weinstein Methods for Approximation of Eigenvalues

DOI10.1073/pnas.34.10.474zbMath0031.40601OpenAlexW1973330648WikidataQ33749728 ScholiaQ33749728MaRDI QIDQ5788352

Nachman Aronszajn

Publication date: 1948

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.34.10.474

zbMATH Keywords

Functional analysis

Related Items (16)

On the Methods of Rayleigh-Ritz-Weinstein ⋮ Error Estimation in the Weinstein Method for Eigenvalues ⋮ An inequality for the eigenvalues of a class of self-adjoint operators ⋮ Relative eigenvalues of Hermitian matrices ⋮ An upper bound for the largest eigenvalue of a positive semidefinite block banded matrix ⋮ Eigenvalue bounds and inequalities using vector aggregation of matrices ⋮ Unnamed Item ⋮ Inequalities for the extreme eigenvalues of block-partitioned Hermitian matrices with applications to spectral graph theory ⋮ Graphs and Hermitian matrices: eigenvalue interlacing ⋮ On exponential representation of analytic functions in the upper half- plane with positive imaginary part ⋮ On perturbations of finite rank ⋮ Ramifications, old and new, of the eigenvalue problem ⋮ Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations ⋮ Functional spaces and functional completion ⋮ Partitioning lower bounds for Bubnov–Galerkin’s eigenvalues ⋮ The reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity

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