Quadratic Convergence of a Special Quasi-cyclic Jacobi Method (CROSBI ID 126936)
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Podaci o odgovornosti
Hari, Vjeran
engleski
Quadratic Convergence of a Special Quasi-cyclic Jacobi Method
This paper considers the ultimate asymptotic convergence of a block-oriented, quasi-cyclic Jacobi method for symmetric matrices. The conclusion applies to the new one-sided Jacobi method for computing the singular value decomposition, recently proposed by Drmač and Veselić. Using a simple qualitative analysis, the discussion indicates that a quadratic off-norm reduction per quasi-sweep is to be expected in all perceivable cases.
eigenvalues ; Jacobi method ; quadratic convergence
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Podaci o izdanju
53
2007.
255-269
objavljeno
0430-3202
1827-1510
10.1007/s11565-007-0027-8