Title :
A band relaxation algorithm for reliable and parallelizable circuit simulation
Author :
Lumsdaine, A. ; White, J. ; Webber, D. ; Sangiovanni-Vincentelli, A.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
Abstract :
A variable-band relaxation algorithm for solving large linear systems is developed as an alternative to Gauss-Jacobi relaxation. This algorithm seeks to improve the reliability of Gauss-Jacobi relaxation by extracting a variable-sized band from the matrix and solving that band directly. This leads to a relaxation algorithm with provably better convergence properties. The algorithm can be used effectively on a massively parallel computer because band matrices can be solved in log(n) time on n/2 processors. Test results are presented which compare the convergence properties of variable-band and Gauss-Jacobi relaxation.<>
Keywords :
circuit analysis computing; matrix algebra; parallel algorithms; relaxation theory; Gauss-Jacobi relaxation; band matrices; convergence properties; large linear systems; massively parallel computer; parallelizable circuit simulation; variable-band relaxation algorithm; variable-sized band; Circuit simulation; Circuit testing; Computational modeling; Computer science; Convergence; Equations; Gaussian processes; Linear systems; Newton method; SPICE;
Conference_Titel :
Computer-Aided Design, 1988. ICCAD-88. Digest of Technical Papers., IEEE International Conference on
Conference_Location :
Santa Clara, CA, USA
Print_ISBN :
0-8186-0869-2
DOI :
10.1109/ICCAD.1988.122517
