Download E-books Iterative Solution of Large Linear Systems PDF

By David M. Young

This self-contained remedy bargains a scientific improvement of the speculation of iterative equipment. Its point of interest is living in an research of the convergence homes of the successive overrelaxation (SOR) strategy, as utilized to a linear procedure with a constantly ordered matrix. The textual content explores the convergence houses of the SOR approach and comparable thoughts by way of the spectral radii of the linked matrices in addition to when it comes to definite matrix norms. Contents contain a evaluate of matrix concept and normal houses of iterative equipment; SOR technique and desk bound converted SOR procedure for always ordered matrices; nonstationary tools; generalizations of SOR conception and editions of process; second-degree tools, alternating direction-implicit equipment, and a comparability of tools. 1971 edition.

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