A convergent variational method of eigenvalue approximation

DOI10.1007/BF00250803zbMath0504.49028OpenAlexW2071255771MaRDI QIDQ1836149

W. M. Greenlee

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250803

zbMATH Keywords

lower bounds for eigenvaluestruncated base problemvariant of the Weinstein-Aronszajn method

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items

Convergence theorems for intermediate problems ⋮ Monotone convergence theorems for variational triples with applications to intermediate problems ⋮ Convergence rates for intermediate problems ⋮ Convergence criteria for Aronszajn's method and for the Bazley-Fox method ⋮ Methoden der Zwischenprobleme zweiter Art bei Schranken für Eigenwerte rationaler Eigenwertaufgaben. (Methods of intermediate problems of the second kind for eigenvalues of rational eigenvalue problems) ⋮ Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces ⋮ Approximation of approximation numbers by truncation ⋮ Improved Convergence Rates for Intermediate Problems

Cites Work

• Methods of intermediate problems for eigenvalues. Theory and ramifications
• A canonical decomposition for quadratic forms with applications to monotone convergence theorems
• Truncations in the method of intermediate problems for lower bounds to eigenvalues
• Lower semicontinuhy of positive quadratic forms
• Monotone continuity of the spectral resolution and the eigenvalues
• An Eigenvalue Estimation Method of Weinberger and Weinstein’s Intermediate Problems
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