Issue No.05 - May (1984 vol.33)
A parallel algorithm for the solution of the eigen-value problem by the Jacobi method is described. At each step of the algorithm, n/2 off-diagonal elements of the n xn matrix are annihilated simultaneously. Furthermore, because of the regular pattern of interprocessor communication, this algorithm is suitable for efficient implementation on a simple loop multiple processor system.
systolic loop, Eigenvalue problem, Jacobi diagonalization, multiprocessing, parallel algorithms
N.S. Ostlund, P.G. Hibbard, "A Parallel Jacobi Diagonalization Algorthm for a Loop Multiple Processor System", IEEE Transactions on Computers, vol.33, no. 5, pp. 409-413, May 1984, doi:10.1109/TC.1984.1676457