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On a method of twosided eigenvalue estimates for elliptic equations of the form Au-lambdaBu=0. (English) Zbl 0474.65080

65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35P15 Estimates of eigenvalues in context of PDEs
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[1] K. Rektorys: Variational Methods in Mathematics, Science and Engineering. Reidel Publ. Co., Dortrecht (Holland)-Boston (USA) 1977. · Zbl 0668.49001
[2] L. Collatz: Eigenwertaufgaben mit technischen Anwendungen. 2nd Leipzig, Geert and Portig 1963. · Zbl 0172.19702
[3] L. Collatz: Functional Analysis and Numerical Mathematics. New York, Academic Press 1966. · Zbl 0148.39002
[4] Z. Vospěl: Some Eigenvalue Estimates for Partial Differential Equations of the Form \(Au - \lambda Bu = 0\). Dissertation, Technical University Prague, 1978.
[5] P. G. Ciarlet M. H. Schulz R. S. Varga: Numerical Methods of High-Order Accuracy for Nonlinear Boundary Value Problems. Part III, Eigenvalue Problems. Num. Math 12 (1968), 120-133. · Zbl 0181.18303 · doi:10.1007/BF02173406 · eudml:131873
[6] A. K. Azis: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations. Part I by I. Babuška and A. K. Azis, 3-359. Academic Press, New York-London, 1972.
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