On the exact p-cyclic SSOR convergence domains

On The Exact P-Cyclic SSOR Convergence Domains

Suppose that A E (]J',n is a block p-cyclic consistently ordered matrix and let Band Sw denote , respectively, the black Jacobi and the block Symmetric Successive Overrelaxation (SSOR) iteration matrices associated with A. Neumaier a.nd Varga found (in the (p(IBI),w)-plane) the exact convergence and divergence domains of the SSOR method for the class of H-matrice8. Hadjidimos and Neumann applie...

On Domains of Superior Convergence of the SSOR Method Over the SOR Method for p- Cyclic H-Matrices

Convergence Domains of the SSOR Iterative Method for Generalized Consistently ordered Matrices

Exact SOR Convergence Regions for a General Class of p-Cyclic Matrices

Linear systems whose associated block Jacobi iteration matrix B is weakly cyclic generated by the cyclic permutation u = (ul , 02,. . . , up) in the spirit of Li and Varga are considered. Regions of convergence for the corresponding block pcyclic SOR method are derived and the exact convergence domains for real spectra, u(BP), of the same sign are obtained. Moreover, analytical expressions for ...

On the Cyclic Homology of Exact Categories

The cyclic homology of an exact category was defined by R. McCarthy [17] using the methods of F. Waldhausen [26]. McCarthy’s theory enjoys a number of desirable properties, the most basic being the extension property, i.e. the fact that when applied to the category of finitely generated projective modules over an algebra it specializes to the cyclic homology of the algebra. However, we show tha...