The Algebraic Structure of Pencilsand Block Toeplitz Matrices

  title={The Algebraic Structure of Pencilsand Block Toeplitz Matrices},
  author={Daniel L. Boley},
We prove several results majorizing the sequences of Kronecker and/or Jordan indices obtainable after small perturbations to a given matrix pencil. The proofs are simple consequences of a theory of majorization for semi-innnite integer sequences, developed in this paper. In particular , new simple bounds are proved on the indices obtainable after appending a single row or column to a matrix pencil. This corresponds to bounding the controllability and/or observabil-ity indices after adding a… CONTINUE READING


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