Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations |
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Authors: | Owe Axelsson |
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Affiliation: | Department of Computer Sciences Chalmers University of Technology Fack, S-402 20 Goteborg 5, Sweden |
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Abstract: | Conjugate gradient type methods are discussed for unsymmetric and inconsistent system of equations. For unsymmetric problems, besides conjugate gradient methods based on the normal equations, we also present a (modified) minimal residual (least square) method, which converges for systems with matrices that have a positive definite symmetric part. For inconsistent problems, for completeness we discuss briefly various (well-known) versions of the conjugate gradient method. Preconditioning and rate of convergence are also discussed. |
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