Closest normal matrix finally found!
Copyright policy )Closest normal matrix finally found!
A method is given that will numerically find the closest normal matrix N (in the Frobenius norm) to a given matrix A by a sequence of unitary similarities. In the coordinate system of the eigenvectors of N, the obesity matrix of A is Hermitian. There is also a chapter with computed examples for the numerical ranges of N and A.
- University of Gothenburg Sweden
Eigenvalues, singular values, and eigenvectors, numerical ranges, Numerical computation of matrix norms, conditioning, scaling, singular value decomposition, eigenvectors, Frobenius norm, Hermitian matrix, unitary matrix, Orthogonalization in numerical linear algebra, field of values, spread of eigenvalues, closest normal matrix, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Hermitian, skew-Hermitian, and related matrices, similarity
Eigenvalues, singular values, and eigenvectors, numerical ranges, Numerical computation of matrix norms, conditioning, scaling, singular value decomposition, eigenvectors, Frobenius norm, Hermitian matrix, unitary matrix, Orthogonalization in numerical linear algebra, field of values, spread of eigenvalues, closest normal matrix, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Hermitian, skew-Hermitian, and related matrices, similarity
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