# The Algebraic Structure of Pencilsand Block Toeplitz Matrices

@inproceedings{Boley1996TheAS, title={The Algebraic Structure of Pencilsand Block Toeplitz Matrices}, author={Daniel L. Boley}, year={1996} }

- Published 1996

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 aâ€¦Â CONTINUE READING

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## Stratification of full rank polynomial matrices I

View 1 Excerpt

#### References

##### Publications referenced by this paper.

Showing 1-10 of 11 references

## On perturbations and the equivalence orbit of a matrix pencil

View 10 Excerpts

Highly Influenced

## On the Segr e

View 7 Excerpts

Highly Influenced

## Semi-stability of sums of partial multiplicities under additive perturbations

View 5 Excerpts

Highly Influenced

## Theory of Matrices

View 4 Excerpts

Highly Influenced

## On the Stratiication of the Kronecker Canonical Form

View 4 Excerpts

Highly Influenced

## The set of 2-by-3 pencils - Kronecker structures and the tran- sitions under perturbations

View 2 Excerpts

## Placing Zeroes and the Kronecker Canonical Form

View 1 Excerpt

## Computation of zeros of linear multivariable systems

View 1 Excerpt

## The generalized eigenstructure problem in linear control theory

View 1 Excerpt

## Linear Systems

View 1 Excerpt