Simultaneous triangularization of matrices—low rank cases and the nonderogatory case
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Publication:4183424
DOI10.1080/03081087808817249zbMath0399.15008OpenAlexW2015993645MaRDI QIDQ4183424
Publication date: 1978
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087808817249
Related Items (24)
A simultaneous triangularization result ⋮ Simultaneous reduction of sets of matrices under similarity ⋮ Complementary triangular forms of pairs of matrices, realizations with prescribed main matrices, and complete factorization of rational matrix functions ⋮ Simultaneous reduction to triangular and companion forms of pairs of matrices: The case \(rank(I-AZ)=1\) ⋮ Eigenvalues of nonnegative matrices ⋮ Simultaneous reduction to companion and triangular forms of sets of matrices ⋮ Simultaneous reduction of matrices in the presence of a nonderogatory matrix ⋮ Simultaneous triangularization of a pair of matrices whose commutator has rank two ⋮ On approximate commutativity of spaces of matrices ⋮ A new approach to simple modules for preprojective algebras ⋮ Topological entropy of switched linear systems: general matrices and matrices with commutation relations ⋮ Triangularizable Algebras of Compact Operators ⋮ On computer-algebra procedures that check for common eigenvectors or invariant subspaces ⋮ Quaternionic matrices: Unitary similarity, simultaneous triangularization and some trace identities ⋮ A note on pairs of matrices with rank one commutator ⋮ A basis theorem for matrix algebras ⋮ Common invariant subspaces from small commutators ⋮ Simultaneous reduction to triangular forms after extension with zeroes ⋮ On commutators and invariant subspaces† ⋮ On maps preserving Lie products equal to a rank-one nilpotent ⋮ Invariant subspaces for operator semigroups with commutators of rank at most one ⋮ Invariant subspaces for semigroups of algebraic operators ⋮ Common invariant subspaces of two matrices ⋮ On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences
Cites Work
- Kato-Taussky-Wielandt commutator relations and characteristic curves
- Kato-Taussky-Wielandt commutator relations
- Some results concerning the transition from the L- to the P-property for pairs of finite matrices
- Some Results Concerning the Transition from the L- to the P-property for Pairs of Finite Matrices II
- Some generators for the algebra ofn×nmatrices
- The Simultaneous Reduction of Two Matrices to Triangle Form
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