A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems
To design a conjugate gradient type method for a given linear system an inner product space has to be chosen and residual polynomials which minimize the induced norm have to be computed. In this paper a unified treatment of this approach for linear systems of equations with symmetric coefficient matrices is proposed. The authors mainly focus their attention on the application of such schemes to the solution of indefinite and/or inconsistent systems. Numerical examples are included.
scientific article; zbMATH DE number 871281