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A minimal error conjugate gradient method for ill-posed problems - MaRDI portal

A minimal error conjugate gradient method for ill-posed problems (Q1095816)

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scientific article; zbMATH DE number 4029303
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A minimal error conjugate gradient method for ill-posed problems
scientific article; zbMATH DE number 4029303

    Statements

    A minimal error conjugate gradient method for ill-posed problems (English)
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    1989
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    For the ill-posed operator equation \(Tx=y\) in Hilbert space, we introduce a modification of the usual conjugate gradient method which minimizes the error, not the residual, at each step. Moreover, the error is minimized over the same finite-dimensional subspace that is associated with the usual method.
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    minimal error
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    ill-posed operator equation
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    Hilbert space
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    conjugate gradient method
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