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Generalized Inversions of Hadamard and Tensor Products for Matrices
Institute of Reproducing Kernels, Kiryu, Japan
- 1 Institute of Reproducing Kernels, Kiryu, Japan
Advances in Linear Algebra & Matrix Theory·Volume 04 (2014)·Pages 87–95·Published 15 May 2014·DOI10.4236/alamt.2014.42006
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Abstract
We shall give natural generalized solutions of Hadamard and tensor products equations for matrices by the concept of the Tikhonov regularization combined with the theory of reproducing kernels.
KeywordsReproducing KernelPositive Definite Hermitian MatrixTensor ProductHadamard ProductGeneralized InverseMatrix EquationTikhonov Regularization100/0 = 00/0 = 0Generalized FractionGeneralized Fractional Function
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