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Linear Algebra and its Applications
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Linear Algebra and its Applications
Article . 2012
License: Elsevier Non-Commercial
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Linear Algebra and its Applications
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Article . 2012
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Unitary similarity to a normal matrix

Authors: Gerasimova, Tatiana G.;

Unitary similarity to a normal matrix

Abstract

The author gives several criteria of unitary similarity of a normal matrix \(A\) and any matrix \(B\) in terms of the Frobenius and spectral norms, characteristic polynomials, and traces of matrices.

Keywords

normal matrix' Frobenious norm, unitary similarity, Numerical Analysis, Algebra and Number Theory, Canonical forms, reductions, classification, Unitary similarity, Frobenius norm, unitary matrix, spectral norm, Spectral norm, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, Geometry and Topology, Normal matrix

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
hybrid