Bibliographic Details
| Title: |
Spectral test of reducibility for matrix tuples. |
| Authors: |
Stessin, Michael1 (AUTHOR) mstessin@albany.edu, Yang, Rongwei1 (AUTHOR) ryang@albany.edu |
| Source: |
Linear Algebra & its Applications. Oct2026, Vol. 747, p254-273. 20p. |
| Subjects: |
Invariant subspaces, Matrices (Mathematics), Algebraic varieties |
| Abstract: |
The existence of a common invariant subspace for a matrix tuple implies that its projective joint spectrum possesses an algebraic component. The converse, however, does not hold in general–algebraic components can appear without an associated invariant subspace. In this paper, we address this issue from a multivariable viewpoint and provide necessary and sufficient conditions for when such a correspondence occurs. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
