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Preconditioning symmetric indefinite matrices. (English) Zbl 0767.65022
Preconditioning methods. Analysis and applications, Top. Comput. Math. 1, 295-319 (1991).
[For the entire collection see Zbl 0753.00013.]
A method is described to solve nonsingular linear systems with a symmetric indefinite matrix by considering convenient preconditioners before application of the conjugate gradient method; the preconditioners are polynomial functions of the matrix that approximate its inverse. Some convergence results are proven and numerical results are discussed.

MSC:
65F10 Iterative numerical methods for linear systems
65F35 Numerical computation of matrix norms, conditioning, scaling
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