Frédéric Brulois, George Jennings and Serban Raianu:Does the Jordan Form of a Matrix have the Greatest Number of Zeros?, p.359-360

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Frédéric Brulois, George Jennings and Serban Raianu:Does the Jordan Form of a Matrix have the Greatest Number of Zeros?, p.359-360

Abstract:

Does the Jordan form of a matrix have more zeros than any other matrix in its orbit? We show that the answer is yes for semisimple and nilpotent matrices, but no in the general case.

Key Words: Jordan canonical form, rational form, semisimple matrix, niplotent matrix.

2000 Mathematics Subject Classification: Primary: 15A21.

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