engleski

Block Jacobi annihilators and operators

We show the structure of the block Jacobi annihilators and operators and the way it is used to prove convergence results for the cyclic and quasi-cyclic block Jacobi methods. The convergence analysis extends to more general block Jacobi-type methods where the transformation matrices are not orthogonal (unitary), like in the case of the generalized eigenvalue problem.

Jacobi methods ; Jacobi operators ; convergence ; pivot strategies

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