A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations. (English) Zbl 0595.65110

Concus, Paul; Golub, Gene H.; O’Leary, Dianne P.

MAA Stud. Math. 24, 178-198 (1984).

Reprint of the authors’ paper in Sparse Matrix Comput., Proc. Symp. Lemont 1975, 309-332 (1976; Zbl 0344.65047).

MSC:

65N22	Numerical solution of discretized equations for boundary value problems involving PDEs
65F10	Iterative numerical methods for linear systems
65N12	Stability and convergence of numerical methods for boundary value problems involving PDEs
65F05	Direct numerical methods for linear systems and matrix inversion
35J25	Boundary value problems for second-order elliptic equations

Keywords:

sparse symmetric positive-definite systems of linear equations; optimality; convergence; preconditioned conjugate-gradient method