Canonical forms for normal matrices that commute with their complex conjugate |
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| Authors: | Geoffrey R Goodson Roger A Horn |
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| Institution: | a Department of Mathematics, Towson University, Towson, MD 21252-0001, USA
b Department of Mathematics, University of Utah, 155 South 1400 East, Room 233, Salt Lake City, UT 84122-0090, USA |
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| Abstract: | We consider the class of normal complex matrices that commute with their complex conjugate. We show that such matrices are real orthogonally similar to a canonical direct sum of 1-by-1 and certain 2-by-2 matrices. A canonical form for quasi-real normal matrices is obtained as a special case. We also exhibit a special form of the spectral theorem for normal matrices that commute with their conjugate. |
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| Keywords: | 15A21 15A57 |
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