normal matrix


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Related to normal matrix: Orthogonal matrix, Hermitian matrix, Diagonalizable matrix

normal matrix

n
(Mathematics) a square matrix A for which AA* = A*A, where A* is the Hermitian conjugate of A
References in periodicals archive ?
To speed up the convergence when solving the low-order minimization problem, we use a preconditioned global conjugate gradient method associated to the normal matrix equation.
k] is eigenvector curvature of k-th vibration mode shape that with multiplying this matrix and the normal matrix transpose the mass of it is used in the following equation.
He gave a necessary and sufficient condition that characterize the set of k complex values occurring as Ritz values of a given normal matrix.
The properties of a normal matrix can be accurately predicted by its spectrum.
The simplicity of our formulas contrasts with the rather cumbersome task of determining the closest normal matrix of a general square matrix; a Jacobi-type algorithm for the latter endeavor has been described by Ruhe [20].
V[SIGMA]W*] is small, the SVD can be expressed as the sum of a normal matrix and a matrix whose norm is small.
k](A), and it was argued in [8], based on results in [5], that if A is a normal matrix or a triangular Toeplitz matrix, then these two sets are identical.