Sylvester matrix equation for matrix pencils
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Publication:1906795
DOI10.1016/0024-3795(94)00044-1zbMath0840.15010OpenAlexW1977410622MaRDI QIDQ1906795
Publication date: 4 July 1996
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(94)00044-1
ranksKronecker productmatrix pencilsKronecker invariantsmatrix similarityintertwining linear equationsMR 82b:15014
Matrix equations and identities (15A24) Linear equations (linear algebraic aspects) (15A06) Matrix pencils (15A22)
Related Items (7)
The solution of the equation \(XA+AX^T=0\) and its application to the theory of orbits ⋮ Pencils with prescribed constant subpencils ⋮ Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations ⋮ Simultaneous solutions of matrix equations and simultaneous equivalence of matrices ⋮ Transformation to versal deformations of matrices ⋮ A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity ⋮ Coupled Sylvester-type Matrix Equations and Block Diagonalization
Cites Work
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- Inertia characteristics of self-adjoint matrix polynomials
- On perturbations and the equivalence orbit of a matrix pencil
- Points of Continuity of the Kronecker Canonical Form
- Right, left characteristic sequences and column, row minimal indices of a singular pencil
- Die Anzahl linear unabhängiger MatrizenX, die mit einer bestimmten MatrixA kommutieren, ausgedrückt in den Weyrschen Charakteristiken
- A linear matrix equation: a criterion for block similarity
- On the matrix equations $AX - XB = C$ and $AX - YB = C$
- Structural invariants of linear multivariable systems
- Decomposability and Quotient Subspaces for the Pencil $sL - M$
- Consistency of a pair of generalized Sylvester equations
- The singular pencil of a linear dynamical system†
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