Simultaneous decomplexification of a pair of complex matrices by a similarity transformation (Q763506)
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scientific article; zbMATH DE number 6013712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simultaneous decomplexification of a pair of complex matrices by a similarity transformation |
scientific article; zbMATH DE number 6013712 |
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Simultaneous decomplexification of a pair of complex matrices by a similarity transformation (English)
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12 March 2012
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The following result is proved: if the algebra generated by two \(n\)-by-\(n\) matrices contains a matrix with simple real spectrum, then the problem of the simultaneous decomplexification of a matrix pair can be reduced to the decomplexification of a single matrix by a diagonal similarity transformation. There are given some applications.
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simultaneous decomplexification
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eigenvector basis
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diagonal similarity transformation
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graph of a matrix
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path in a graph
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