New Normal Matrices and the Unitary Decomposition on the Tensor Sum
By using the concept of normal matrix,and the theory of singular value decomposition,some properties of a class of matrix A which satisfies A*=kA2(0≠k ∈ R)were explored.Results show that it is a normal matrix and the singular value decomposition of A was obtained.A formula(A⊕B)*=A*⊕B* and the unitary decomposition of the tensor sum of such two matrices was investigated as well aided by tensor product of matrices,expanding the fundamental theory of the normal matrix.
conjugate transpose matrixnormal matrixsingular value decompositiontensor sumunitary decomposition
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