A Brauer's theorem and related results

DOI10.2478/s11533-011-0113-0zbMath1248.15007OpenAlexW1966227398MaRDI QIDQ432258

Ana M. Urbano, Ricardo L. Soto, Rafael Cantó, Rafael Bru

Publication date: 3 July 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/51870

zbMATH Keywords

controllabilitystabilizationeigenvaluesJordan formpole assignment problemdeflation techniqueslow rank perturbationWielandt's and Hotelling's deflations

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Pole and zero placement problems (93B55) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (5)

Improving the condition number of a simple eigenvalue by a rank one matrix ⋮ Perturbation theory of structured matrix pencils with no spillover ⋮ Preserving spectral properties of structured matrices under structured perturbations ⋮ Eigenstructure of rank one updated matrices ⋮ Recursive rank one perturbations for pole placement and cone reachability

Cites Work

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• Methods of constructing certain stochastic matrices. II
• Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• Numerical Methods for Large Eigenvalue Problems
• Deeper Inside PageRank

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