On the Non‐Hierarchical Preconditioner Constructions | Zendy

Kiss B. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

On the Non‐Hierarchical Preconditioner Constructions

Author(s) -

Kiss B.

Publication year - 2004

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200410302

Subject(s) - preconditioner , schur complement , multiplication (music) , mathematics , matrix representation , matrix (chemical analysis) , matrix multiplication , algebra over a field , complement (music) , norm (philosophy) , representation (politics) , arithmetic , pure mathematics , combinatorics , algorithm , eigenvalues and eigenvectors , iterative method , physics , chemistry , law , quantum , biochemistry , quantum mechanics , political science , complementation , politics , group (periodic table) , gene , phenotype , chromatography

In this paper a new cyclic matrix representation of the H –1/2 norm is presented. Its application as Schur complement preconditioning matrix requires only matrix‐vector multiplication. The computational cost of this matrix‐vector multiplication is O ( N · log( N )) arithmetic operations, where N is the number of unknowns. The efficiency of the construction to elliptic problems has been verified by numerical tests. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research