A survey of canonical forms and invariants for unitary similarity
type: Item
instance of: scholarly article
title: A survey of canonical forms and invariants for unitary similarity
zbMATH Open document ID: 0723.15007
DOI: 10.1016/0024-3795(91)90232-L
author: Helene Shapiro
published in: Linear Algebra and its Applications
publication date: 1991-01-01T00:00:00Z
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15-02
zbMATH DE Number: 4191896
zbMATH Keywords: expository paper
zbMATH Keywords: canonical forms
zbMATH Keywords: invariants
zbMATH Keywords: unitary similarity
zbMATH Keywords: unitary group
zbMATH Keywords: unitary invariants
zbMATH Keywords: Specht-Pearcy trace invariants
zbMATH Keywords: numerical range
zbMATH Keywords: unitary reducibility
zbMATH Keywords: bibliography
MaRDI profile type: Publication
cites work: Q3257778
cites work: Unitary invariants for compact operators
cites work: Subalgebras of \(C^ *\)-algebras
cites work: Subalgebras of C\(^*\)-algebras. II
cites work: Q4112980
cites work: A non-commutative spectral theorem
cites work: On the field of values subordinate to a norm
cites work: Versal families of matrices with respect to unitary conjugation
cites work: Q5608364
cites work: The problem of unitary equivalence
cites work: The Unitary Equivalence of Binormal Operators
cites work: Completely positive linear maps on complex matrices
cites work: Q5535851
cites work: On Matrices Over the Ring of Continuous Complex Valued Functions on a Stonian Space
cites work: On continuous matrix-valued functions on a Stonian space
cites work: On Unitary Equivalence of Hilbert-Schmidt Operators
cites work: On the numerical range of a bounded operator
cites work: Some Theorems on Commutative Matrices
cites work: Charting the operator terrain
cites work: A remark on orthogonality of eigenvectors
cites work: Geometry of the numerical range of matrices
cites work: A generalization of the Motzkin-Taussky theorem
cites work: Simultaneous similarity of matrices
cites work: Pairs of matrices with quadratic minimal polynomials
cites work: Q4148100
cites work: Q3254327
cites work: Fields of Values of a Matrix
cites work: On certain finite dimensional numerical ranges and numerical radii†
cites work: Elementary inclusion relations for generalized numerical ranges
cites work: Simultaneous unitary equivalence
cites work: Q3293417
cites work: Q5521075
cites work: The Resultant and the Matrix Equation $AX = XB$
cites work: Canonical Form for Matrices Under Unitary Congruence Transformations. II: Congruence-Normal Matrices
cites work: On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences
cites work: On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence
cites work: A characterization of unitary congruence
cites work: On the Eigenvalues of a Matrix with Prescribed Singular Values
cites work: Matrix Analysis
cites work: Q3998992
cites work: Q5822102
cites work: Normality and the numerical range
cites work: Q5531045
cites work: Algebras of type I
cites work: Über den Wertevorrat einer Matrix
cites work: Simultaneous quasidiagonalization of complex matrices
cites work: A counterexample to Kippenhahn's conjecture on Hermitian pencils
cites work: Simultaneous reduction of sets of matrices under similarity
cites work: Matrices with some extremal properties
cites work: On Unitary Equivalence
cites work: On the characteristic roots of matric polynomials
cites work: Q4754499
cites work: Constrained extrema of bilinear functionals
cites work: Nondifferentiable boundary points of the higher numerical range
cites work: Q5331504
cites work: Computer generated numerical ranges and some resulting theorems
cites work: The G-bilinear range
cites work: Normal and Diagonalizable Matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Unitary Transformations

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Pairs of Matrices with Property L

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Pairs of Matrices With Property L. II

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Field Convexity of a Square Matrix

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: On the Field of Values of a Square Matrix

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: On the Unitary Invariants of a Square Matrix

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A Canonical Form for Real Matrices under Orthogonal Transformations

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A Note on Kronecker Matrix Products and Matrix Equation Systems

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: The Bauer fields of values of a matrix

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Characteristic roots and the field of values of a matrix

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Sets of complex numbers associated with a matrix

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A Note on Normal Matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Continuous canonical forms for matrices under unitary equivalence

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: An application of the Cayley-Hamilton theorem to matrix polynomials in several variables

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A complete set of unitary invariants for operators generating finite \(W^ *\)-algebras of type I

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A Complete Set of Unitary Invariants for 3 × 3 Complex Matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: On Unitary Equivalence of Matrices over the Ring of Continuous Complex-Valued Functions on a Stonian Space

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Trace-Preserving Isomorphisms in Finite Operator Algebras

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Q3229831

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: The invariant theory of \(n\times n\) matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: On Unitary Equivalence of Arbitrary Matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Simultaneous Unitary Invariants for Sets of Matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Matrices for Operators and Generators of B (ℋ)

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Q5677651

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Q5577921

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Classification of linear operators in a finite-dimensional unitary space

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Simultaneous block triangularization and block diagonalization of sets of matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: On a conjecture of Kippenhahn about the characteristic polynomial of a pencil generated by two Hermitian matrices. I

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A conjecture of Kippenhahn about the characteristic polynomial of a pencil generated by two hermitian matrices. II

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Hermitian pencils with a cubic minimal polynomial

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Alternative proofs of a theorem of Moyls and Marcus on the numerical range of a square matrix

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Q5626868

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Q5544339

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Matrix Ranges for Hilbert Space Operators

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Positive Functions on C ∗ -Algebras

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Commutativity in Finite Matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A weak property \(L\) for pairs of matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: On the congruence transformation of a pencil of real symmetric matrices to a pencil with identical characteristic polynomial

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Linear Relations Between Higher Additive Commutators

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Singular Values, Diagonal Elements, and Convexity

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: The constrained bilinear form and the C-numerical range

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Q4482901

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Q3688170

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: On the Jordan form in a unitary space

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Canonical Form for Matrices Under Unitary Congruence Transformations. I: Conjugate-normal Matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: On the conjugacy classes in the unitary, symplectic and orthogonal groups

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A conjectured property of Hermitian pencils

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Simultaneous quasi-diagonalization of normal matrices

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Über die Frobeniusschen Kovarianten

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A theorem on numerical range

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: A Note on Pairs of Normal Matrices with Property L

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: Necessary and sufficient conditions for unitary similarity

A survey of canonical forms and invariants for unitary similarity (cites work)
cites work: On a Polar Representation of Non-Singular Square Matrices