Displaying similar documents to “On relations between right and left eigenvectors of nonselfadjoint matrix pencils”

A deflation formula for tridiagonal matrices

Miroslav Fiedler (1980)

Aplikace matematiky

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An explicit formula for the deflation of a tridiagonal matrix is presented. The resulting matrix is again tridiagonal.

A Brauer’s theorem and related results

Rafael Bru, Rafael Cantó, Ricardo Soto, Ana Urbano (2012)

Open Mathematics

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Given a square matrix A, a Brauer’s theorem [Brauer A., Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J., 1952, 19(1), 75–91] shows how to modify one single eigenvalue of A via a rank-one perturbation without changing any of the remaining eigenvalues. Older and newer results can be considered in the framework of the above theorem. In this paper, we present its application to stabilization of control systems, including the case when...