Title :
A Parallel Jacobi Diagonalization Algorthm for a Loop Multiple Processor System
Author :
Whiteside, Robert A. ; Ostlund, Neil S. ; Hibbard, Peter G.
Author_Institution :
Departments of Computer Science and Chemistry, Carnegie-Mellon University
fDate :
5/1/1984 12:00:00 AM
Abstract :
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.
Keywords :
Eigenvalue problem; Jacobi diagonalization; multiprocessing; parallel algorithms; systolic loop; Communication channels; Computer architecture; Computer science; Eigenvalues and eigenfunctions; Hardware; Iterative algorithms; Jacobian matrices; Joining processes; Nearest neighbor searches; Parallel algorithms; Eigenvalue problem; Jacobi diagonalization; multiprocessing; parallel algorithms; systolic loop;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1984.1676457
