Unitary equivalence to a complex symmetric matrix: Low dimensions

@article{Garcia2011UnitaryET,
  title={Unitary equivalence to a complex symmetric matrix: Low dimensions},
  author={Stephan Ramon Garcia and Daniel E. Poore and James E. Tener},
  journal={Linear Algebra and its Applications},
  year={2011},
  volume={437},
  pages={271-284}
}
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13 Citations
Background Citations
5
Methods Citations
1

13 Citations

Citation Type

Citation Type

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TLDR
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References

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UNITARY EQUIVALENCE OF A MATRIX TO ITS TRANSPOSE
Motivated by a problem of Halmos, we obtain a canonical decom- position for complex matrices which are unitarily equivalent to their transpose (UET). Surprisingly, the na¨ove assertion that a matrix…
Unitary equivalence to a complex symmetric matrix: An algorithm
Unitary equivalence to a complex symmetric matrix: a modulus criterion
We develop a procedure for determining whether a square complex matrix is unitarily equivalent to a complex symmetric (i.e., self-transpose) matrix. Our approach has several advantages over existing…
Unitary equivalence to a complex symmetric matrix: geometric criteria
We develop several methods, based on the geometric relationship between the eigenspaces of a matrix and its adjoint, for determining whether a square matrix having distinct eigenvalues is unitarily…
Some new classes of complex symmetric operators
We say that an operator T E B(H) is complex symmetric if there exists a conjugate-linear, isometric involution C: ℌ→ℌ so that T = CT * C. We prove that binormal operators, operators that are…
Unitary equivalence to a truncated Toeplitz operator: analytic symbols
Unlike Toeplitz operators on H2, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically. In this paper we…
Complex symmetric partial isometries
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We discuss several algebraic and analytic aspects of the eigenstructure (si.e., eigenvalues, eigenvectors, and generalized eigenvectors) of complex symmetric operators. In particular, we examine the…
Truncated Toeplitz Operators on Finite Dimensional Spaces
In this paper, we study the matrix representations of compressions of Toeplitz operators to the finite dimensional model spaces H2 BH2, where B is a finite Blaschke product. In particular, we…
Unitary equivalence to truncated Toeplitz operators
In this paper we investigate operators unitarily equivalent to truncated Toeplitz operators. We show that this class contains certain sums of tensor products of truncated Toeplitz operators. In…
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