engleski

On the global convergence of the cyclic Jacobi methods for the symmetric matrix of order 4

We prove the global convergence of the general cyclic Jacobi method for the symmetric matrix of order four. In particular, we study the method under the strategies that enable full parallelization of the method. These strategies, unlike the serial ones, can force the method to be very slow/fast within one cycle, depending on the underlying matrix. This implies that for the global convergence proof one has to consider several adjacent cycles.

Eigenvalues ; symmetric matrix of order 4 ; Jacobi method ; global convergence

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