Naslov
Quadratic convergence bounds of scaled iterates by the serial Jacobi methods for indefinite Hermitian matrices

Autori
Matejaš, Josip

Izvornik
Electronic Journal of Linear Algebra (1081-3810) 17 (2008); 62-87

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Jacobi method; Scaled matrices; Quadratic convergence

Sažetak
Using the technique from [12], sharp quadratic convergence bounds for scaled Jacobi iterates are derived. The iterates are generated by any serial Jacobi method when applied to a general complex nonsingular Hermitian matrix. The scaled iterates are defined relatively to the diagonal. The estimates depend on the relative separation between the eigenvalues. The assumptions are general, since no monotonic ordering of the diagonal elements within any diagonal block which converges to a multiple eigenvalue is presumed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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