The equations \(ax-xb=c\), \(ax-\overline xb=c\) and \(\overline xax=b\) in quaternions (Q1769342)
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scientific article; zbMATH DE number 2147995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The equations \(ax-xb=c\), \(ax-\overline xb=c\) and \(\overline xax=b\) in quaternions |
scientific article; zbMATH DE number 2147995 |
Statements
The equations \(ax-xb=c\), \(ax-\overline xb=c\) and \(\overline xax=b\) in quaternions (English)
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21 March 2005
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Solvability conditions and general solutions of the three equations \(ax- xb= c\), \(ax- \overline xb= c\) and \(\overline xax= b\) in quaternions are determined. Some interesting consequences and applications are also presented.
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quaternions
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matrices
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similarity
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consimilarity
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general solutions
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