Block Iterative Methods for Elliptic and Parabolic Difference Equations
Seymour V. Parter, Michael Steuerwalt · SIAM Journal on Numerical Analysis · 1982
Direct iterative methods for solving the linear system $AX = Y$ split A into a difference $M - N$. By viewing N as a weak multiplication operator, we determine the convergence rates of block direct iterative methods for elliptic and parabolic difference equations. The difference equations may arise from very general partial differential equations on general domains in m space dimensions.