Search results for "Inverse iteration"

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The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem

2016

The inverse eigenvalue problem and the associated optimal approximation problem for Hermitian reflexive matrices with respect to a normal {k+1}-potent matrix are considered. First, we study the existence of the solutions of the associated inverse eigenvalue problem and present an explicit form for them. Then, when such a solution exists, an expression for the solution to the corresponding optimal approximation problem is obtained.

Inverse iterationOptimization problemApplied Mathematics010102 general mathematicsMathematical analysisInverseGeneralized inversesEigenvalues010103 numerical & computational mathematicsExpression (computer science)Hermitian matrixMatrius (Matemàtica)01 natural sciencesHermitian matrixComputational MathematicsMatrix (mathematics)Applied mathematics0101 mathematicsDivide-and-conquer eigenvalue algorithmÀlgebra linealOptimization problemMATEMATICA APLICADAEigenvalues and eigenvectorsMathematics
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Convergence of iterative methods in perturbation theory

1995

We discuss iterative KAM type methods for eigenvalue problems in finite dimensions. We compare their convergence properties with those of straight forward power series expansions.

Inverse iterationPower seriesSingular perturbationsymbols.namesakeIterative methodPreconditionerConvergence (routing)Mathematical analysissymbolsPerturbation theoryPoincaré–Lindstedt methodMathematics
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