References
- Buneman , O. 1969 . “ A compact non-iterative Poisson Solver ” . In S. U. I. P. R. Report, AEC Contract AT(04-3)326 PA 20 , 10 Stanford University . Institute for Plasma Research
- Buzbee , B.L. , Golub , G.H. and Nielson , C W. 1970 . On Direct Methods for Solving Poisson's Equations . SIAM Journal on Numerical Analysis , 7 : 627 – 655 .
- Evans , D.J. 2000 . Cyclic and Stride Reduction Methods for Generalised Tridiagonal Matrices . Inter. Jour. Computer. Maths , 73 ( 4 ) : 487 – 492 .
- Gallopoulos , E. and Saad , Y. 1989 . “ A Parallel Block Cyclic Reduction Algorithm for the Fast Solution of Elliptic Equations ” . In Parallel Computing , Vol. 10 , 143 – 159 . North-Holland .
- Heller , D. 1976 . Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems . SI AM Journal of Numerical Analysis , 13 : 484 – 496 .
- Kelleher , K.E. 1992 . “ A Direct Parallel Method for Solving Separable Elliptic Equations Based on Cyclic Reduction ” . In Thesis , 127 university of Oklahoma .
- Lakshmivarah , S. and Dhall , S.K. 1990 . Analysis and Design of Parallel Algorithms: Arithmetic and Matrix Problems , 657 McGraw-Hill .
- Swarztrauber , P.N. 1974 . A Direct Method for the Discrete Solution of Separable Elliptic Equations . SIAM Journal ofNumerical Analysis , 11 : 1136 – 1150 .
- Swarztrauber , P.N. and Sweet , R.A. 1979 . Algorithm 541: Efficient FORTRAN Subprograms for the Solution of Elliptic Partial Differential Equations . ACM Trans. Math.Software , 5 : 352 – 364 .
- Swarztrauber , P.N. 1987 . Approximate Cyclic Reduction for Solving Poisson's Equations . SI AM Journal on Scientific and Statistical Computing , 8 : 199 – 209 .
- Sweet , R.A. 1988 . A Parallel and Vector Variant of the Cyclic Reduction Algorithm . SIAM Journal of Science and Statistical Computation , 9 : 761 – 765 .
- Sweet , R.A. 1977 . A Cyclic Reduction Algorithm for Solving Block Tridiagonal Systems of Arbitrary Dimension . SIAM Journal of Numerical Analysis , 14 : 706 – 720 .