Simultaneous, Successive and Alternating Direction Iteration Schemes

1960 ◽  
Vol 8 (1) ◽  
pp. 150-173 ◽  
Author(s):  
J. Heller
Keyword(s):  
Alternating Direction ◽  
Direction Iteration

scholarly journals Alternating direction iteration methods for $n$ space variables

1963 ◽  
Vol 17 (83) ◽  
pp. 279-279
Author(s):  
J. Douglas ◽  
R. B. Kellogg ◽  
R. S. Varga
Keyword(s):  
Alternating Direction ◽  
Iteration Methods ◽  
Direction Iteration

scholarly journals An alternating-direction iteration method for Helmholtz problems

1993 ◽  
Vol 38 (4) ◽  
pp. 289-300
Author(s):  
Jim Douglas ◽  
Jeffrey L. Hensley ◽  
Jean E. Roberts
Keyword(s):  
Iteration Method ◽  
Alternating Direction ◽  
Direction Iteration

A Block Diagonal Preconditioner for Generalised Saddle Point Problems

2016 ◽  
Vol 6 (3) ◽  
pp. 235-252 ◽  
Author(s):  
Zhong Zheng ◽  
Guo Feng Zhang
Keyword(s):  
Saddle Point ◽  
Krylov Subspace ◽  
Convergence Rates ◽  
Positive Definite ◽  
Saddle Point Problems ◽  
Subspace Iteration ◽  
Alternating Direction ◽  
Iteration Methods ◽  
Direction Iteration ◽  
Block Diagonal

AbstractA lopsided alternating direction iteration (LADI) method and an induced block diagonal preconditioner for solving block two-by-two generalised saddle point problems are presented. The convergence of the LADI method is analysed, and the block diagonal preconditioner can accelerate the convergence rates of Krylov subspace iteration methods such as GMRES. Our new preconditioned method only requires a solver for two linear equation sub-systems with symmetric and positive definite coefficient matrices. Numerical experiments show that the GMRES with the new preconditioner is quite effective.

Alternating Direction Iteration Methods for n Space Variables

1963 ◽  
Vol 17 (83) ◽  
pp. 279 ◽  
Author(s):  
J. Douglas ◽  
R. B. Kellogg ◽  
R. S. Varga
Keyword(s):  
Alternating Direction ◽  
Iteration Methods ◽  
Direction Iteration
Sign in / Sign up

Export Citation Format

Share Document