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SIAM. J. Matrix Anal. & Appl. 20, pp. 646-666 (21 pages)

Logarithmic Norms for Matrix Pencils

Inmaculada Higueras and Berta Garcia-Celayeta

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We extend 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 of linear variable coefficient differential algebraic systems.

© 1999 Society for Industrial and Applied Mathematics

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0895-4798 (print)  
1095-7162 (online)

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