Displaying similar documents to “Jacobi matrices with prescribed eigenvalues and diagonal elements”

On the completely indeterminate case for block Jacobi matrices

Andrey Osipov (2017)

Concrete Operators

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We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal. For such matrices, some criteria of complete indeterminacy are established. These criteria are similar to several known criteria of indeterminacy of the Hamburger moment problem in terms of the corresponding scalar Jacobi matrices and the related systems of orthogonal polynomials.

Convergence of the accelerated overrelaxation method

Dragoslav Herceg, Ljiljana Cvetković (1989)

Aplikace matematiky

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The convergence of the Accelerated Overrelaxation (AOR) method is discussed. It is shown that the intervals of convergence for the parameters σ and ω are not always of the following form: 0 ≤ ω ≤ ω 1 , - σ 1 ≤ σ ≤ σ 2 , σ 1 , σ 2 ≥ 0 .