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Castro, L.P., Fujiwara, H., Rodrigues, M. M., Saitoh, S. and Tuan, V.K. (2014) Aveiro Discretization Method in Mathematics: A New Discretization Principle. In: Pardalos, P. and Rassias, T.M., Eds., Mathematics without Boundaries: Surveys in Pure Mathematics, in press.

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• TITLE: Generalized Inversions of Hadamard and Tensor Products for Matrices

  AUTHORS: Saburou Saitoh

  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

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.4 No.2, May 15, 2014

  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.