Arbenz, PeterHegland, Markus2003-07-082004-05-192011-01-052004-05-192011-01-051997http://hdl.handle.net/1885/40760http://digitalcollections.anu.edu.au/handle/1885/40760We propose a stable algorithm for the parallel solution of banded and periodically banded linear systems. While most of the known parallel algorithms are stable only for symmetric positive definite or diagonally dominant systems, the new algorithm incorporates pivoting without sacrificing efficiency. The principle ingredient of the algorithm is a bidiagonal cyclic reduction that admits pivoting. We report on numerical experiments conducted on various multiprocessor computers.371285 bytes356 bytesapplication/pdfapplication/octet-streamen-AUbanded linear systemsbidiagonal cyclic reductionlinear systemsGaussian eliminationblock elimination schemescyclic reductiontridiagonal diagonally dominant systemspartial pivotingbidiagonal systemsparallel band solvers1997