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Logarithmic Norms for Matrix Pencils
SIAM Journal on Matrix Analysis and Applications, 1999Summary: The author extends the usual concepts of least upper bound norm and logarithmic norm of a matrix to matrix pencils. Properties of these seminorms and logarithmic norms are derived. This logarithmic norm can be used to study the growth of the solutions to linear variable coefficient differential-algebraic systems.
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Rank One Perturbations of Matrix Pencils
SIAM Journal on Matrix Analysis and Applications, 2020Using some of their earlier results (see for example [the first author, Linear Algebra Appl. 438, No. 8, 3155--3173 (2013; Zbl 1269.15029)]), the authors completely resolve the open problem of describing all possible Kronecker invariants of an arbitrary matrix pencil under rank one perturbations.
Dodig, Marija, Stošić, Marko
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