Explicit polar decomposition of companion matrices

Pauline van den Driessche; Harald Wimmer

doi:10.13001/1081-3810.1005

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Published: Jan 1, 1996

DOI: https://doi.org/10.13001/1081-3810.1005

Keywords:

companion matrices, polardecomposition, singular values

Pauline van den Driessche

Harald K. Wimmer

Abstract

An explicit formula for the polar decomposition of an n * n nonsingular companion matrix is derived. The proof involves the largest and smallest singular values of the companion matrix.

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Vol. 1 (1996)

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