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Generalized Inversions of Hadamard and Tensor Products for Matrices

DOI: 10.4236/alamt.2014.42006, PP. 87-95

Keywords: Reproducing Kernel, Positive Definite Hermitian Matrix, Tensor Product, Hadamard Product, Generalized Inverse, Matrix Equation, Tikhonov Regularization, 100/0 = 0, 0/0 = 0, Generalized Fraction, Generalized Fractional Function

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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.

References

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