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Parametric matrix models. [PDF]

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An eigenvalue problem for the numerical range of a bounded linear operator

Integral Equations and Operator Theory, 1998
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Fixman, Uri, Okoh, Frank, Rao, G. K. R.
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Approximate formulas for eigenvalues of the Laplace operator on a torus arising in linear problems with oscillating coefficients

Russian Journal of Mathematical Physics, 2012
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Brüning, J.   +2 more
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A computer-assisted method for excluding eigenvalues of an elliptic operator linearized at a solution of a nonlinear problem

Japan Journal of Industrial and Applied Mathematics, 2015
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Cai, Shuting, Watanabe, Yoshitaka
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Eigenvalue problem for arbitrary linear combinations of a boson annihilation and creation operator

Annalen der Physik, 1992
AbstractThe eigenvalue problem for arbitrary linear combinations kα + μα† of a boson annihilation operator α and a boson creation operator α† is solved. It is shown that these operators possess nondegenerate eigenstates to arbitrary complex eigenvalues.
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An iterative method of solving the eigenvalue problem for a polynomial pencil of linear operators

USSR Computational Mathematics and Mathematical Physics, 1989
Abstract An iterative method for solving the eigenvalue problem for a polynomial pencil of linear operators is discussed. As a preliminary, some spectral properties of the pencil are studied. The main result is to prove the convergence of the iterative process.
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