Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602241 | Linear Algebra and its Applications | 2008 | 32 Pages |
Abstract
The problem of the possible similarity classes of all the matrices obtained by small perturbations on some rows of a given complex square matrix is under consideration. Some necessary conditions on these similarity classes are provided. The near converse problem is also studied: under what conditions can a given collection of polynomials or partitions be the invariant factors or the Weyr characteristic of a matrix obtained by perturbing some rows of a given matrix? A complete answer is provided in some particular cases. The obtained conditions can all be derived from the previously mentioned necessary conditions.
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