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Regularized conjugate gradient method for skew-symmetric indefinite system of linear equations and applications - MaRDI portal

Regularized conjugate gradient method for skew-symmetric indefinite system of linear equations and applications (Q883979)

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scientific article; zbMATH DE number 5163828
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Regularized conjugate gradient method for skew-symmetric indefinite system of linear equations and applications
scientific article; zbMATH DE number 5163828

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    Regularized conjugate gradient method for skew-symmetric indefinite system of linear equations and applications (English)
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    12 June 2007
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    The authors present a class of regularized conjugate gradient methods for the normal equation of a system \(Ax=b\), where \(A\) is a nonsingular ill-conditioned and skew-symmetric matrix. The convergence of the new algorithm is proved and a detailed discussion on the possible choices of the parameters involved in the iteration is presented.
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    conjugate gradient method
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    normal equation
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    Krylov subspace methods
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    skew-symmetric matrix
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    regularization
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    ill-conditioned linear system
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    convergence
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    algorithm
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