Computational Mathematics and Mathematical Physics · 2006 · 12 citations · 0 references
Natural SciencesMathematicsDynamical SystemsEigenvalue ProblemsNumerical AnalysisNumerical StabilityOperator TheoryPerturbation MethodsPerturbation TheoryDiscrete Eigenvalue ProblemsEigenvalue AlgorithmsEigenvalue BoundsEigenvalue ComputationEigenvalue Spectral AnalysisEigenvaluesMatrix Perturbation TheoryPerturbation Theory Of Operators
To compute the eigenvalues of a perturbed discrete semibounded operator, systems are obtained for the first time in which the number of equations is equal to the multiplicity of the corresponding eigenvalues of the unperturbed operator.