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.