Convergence of a Block‐Oriented Quasi‐Cyclic Jacobi Method

Vjeran Hari · SIAM Journal on Matrix Analysis and Applications · 2007

This paper proves the global convergence of a block‐oriented, quasi‐cyclic Jacobi method for symmetric matrices. The result applies to the new fast one‐sided Jacobi method, proposed by Drmač and Veselić, for computing the singular value decomposition. There is no restriction on the matrix block‐partition which defines the pivot strategy.

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