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Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations

Fatemeh Panjeh Ali Beik, Mehdi Najafi–Kalyani, Lothar Reichel

2020Applied Numerical Mathematics38 citationsDOIOpen Access PDF

Topics & Concepts

MathematicsKrylov subspaceTikhonov regularizationDiscretizationCoefficient matrixRegularization (linguistics)Applied mathematicsMathematical analysisChebyshev polynomialsChebyshev iterationWell-posed problemIterative methodTensor (intrinsic definition)Tensor productSystem of linear equationsLinear systemInverse problemEigenvalues and eigenvectorsMathematical optimizationGeometryComputer scienceArtificial intelligenceQuantum mechanicsPure mathematicsPhysicsStatistical and numerical algorithmsNumerical methods in inverse problemsTensor decomposition and applications
Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations | Litcius