Some observations on the Youla form and conjugate-normal matrices |
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| Authors: | H Faßbender |
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| Institution: | a Institut Computational Mathematics, TU Braunschweig, Pockelsstr. 14, D-38023 Braunschweig, Germany
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, 119992 Moscow, Russia |
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| Abstract: | Two square complex matrices A, B are said to be unitarily congruent if there is a unitary matrix U such that A = UBUT. The Youla form is a canonical form under unitary congruence. We give a simple derivation of this form using coninvariant subspaces. For the special class of conjugate-normal matrices the associated Youla form is discussed. |
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| Keywords: | 15A21 65F99 |
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