A complete unitary similarity invariant for unicellular matrices
Copyright policy )A complete unitary similarity invariant for unicellular matrices
We present necessary and sufficient conditions for an n\times n complex matrix B to be unitarily similar to a fixed unicellular (i.e., indecomposable by similarity) n\times n complex matrix A
16 pages
- Taras Shevchenko National University of Kyiv Ukraine
- University of Regina Canada
Structure theory of linear operators, Volterra operator, Numerical Analysis, Algebra and Number Theory, Canonical forms, reductions, classification, unicellular matrix, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Unicellular matrix, 15A21, Toeplitz matrix, unitary similarity problem, 47A65, 15A60, FOS: Mathematics, 15A21, 15A60, 47A05, 47A65, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, Unitary similarity problem, Geometry and Topology, Representation Theory (math.RT), 47A05, Mathematics - Representation Theory
Structure theory of linear operators, Volterra operator, Numerical Analysis, Algebra and Number Theory, Canonical forms, reductions, classification, unicellular matrix, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Unicellular matrix, 15A21, Toeplitz matrix, unitary similarity problem, 47A65, 15A60, FOS: Mathematics, 15A21, 15A60, 47A05, 47A65, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, Unitary similarity problem, Geometry and Topology, Representation Theory (math.RT), 47A05, Mathematics - Representation Theory
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