Generalized Inversions of Hadamard and Tensor Products for Matrices

Saburou  Saitoh

doi:10.4236/alamt.2014.42006

Saburou Saitoh^*

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.

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

Cite this paper: Saitoh, S. (2014) Generalized Inversions of Hadamard and Tensor Products for Matrices. Advances in Linear Algebra & Matrix Theory, 4, 87-95. doi: 10.4236/alamt.2014.42006.

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