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Collatz method; twosided eigenvalue estimates; elliptic operators

References:

[1] K. Rektorys: **Variational Methods in Mathematics, Science and Engineering**. Reidel Publ. Co., Dortrecht (Holland)-Boston (USA) 1977. (In Czech: Praha, SNTL, 1974.) MR 0487653

[2] L. Collatz: **Eigenwertaufgaben mit technischen Anwendungen**. 2nd Ed. Leipzig, Geert and Portig 1963. MR 0152101

[3] L. Collatz: **Functional Analysis and Numerical Mathematics**. New York, Academic Press 1966. MR 0205126

[4] Z. Vospěl: **Some Eigenvalue Estimates for Partial Differential Equations of the Form $Au - \lambda Bu = 0$**. Dissertation, Technical University Prague, 1978. (In Czech.)

[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. DOI 10.1007/BF02173406 | MR 0233517

[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. MR 0347104