Solving the two-dimensional CIS problem by a rational algorithm

@article{Alpin2000SolvingTT,
  title={Solving the two-dimensional CIS problem by a rational algorithm},
  author={Yurii A. Al'pin and A. George and K. Ikramov},
  journal={Linear Algebra and its Applications},
  year={2000},
  volume={312},
  pages={115-123}
}
Abstract The CIS problem is formulated as follows. Let p be a fixed integer, 1⩽p . For given n×n compex matrices A and B , can one verify whether A and B have a common invariant subspace of dimension p by a procedure employing a finite number of arithmetical operations? We describe an algorithm solving the CIS problem for p=2 . Unlike the algorithm proposed earlier by the second and third authors, the new algorithm does not impose any restrictions on A and B . Moreover, when A and B generate a… Expand
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