Displaying 161 – 180 of 549

Showing per page

Convergence of the accelerated overrelaxation method

Dragoslav Herceg, Ljiljana Cvetković (1989)

Aplikace matematiky

The convergence of the Accelerated Overrelaxation (AOR) method is discussed. It is shown that the intervals of convergence for the parameters σ and ω are not always of the following form: 0 ω ω 1 , - σ 1 σ σ 2 , σ 1 , σ 2 0 .

Derivation of BiCG from the conditions defining Lanczos' method for solving a system of linear equations

Petr Tichý, Jan Zítko (1998)

Applications of Mathematics

Lanczos’ method for solving the system of linear algebraic equations A x = b consists in constructing a sequence of vectors x k in such a way that r k = b - A x k r 0 + A 𝒦 k ( A , r 0 ) and r k 𝒦 k ( A T , r ˜ 0 ) . This sequence of vectors can be computed by the BiCG (BiOMin) algorithm. In this paper is shown how to obtain the recurrences of BiCG (BiOMin) directly from this conditions.

Currently displaying 161 – 180 of 549