Let H be the real quaternion field,C and R be the complex and real field respectively.Clearly R（?）C（?）H. Let H<sup>m×n</sup> denote the set of all m×n matrices over H.If A=(a<sub>rs<...Let H be the real quaternion field,C and R be the complex and real field respectively.Clearly R（?）C（?）H. Let H<sup>m×n</sup> denote the set of all m×n matrices over H.If A=(a<sub>rs</sub>)∈H<sup>m×n</sup>,then there exist A<sub>1</sub> and A<sub>2</sub>∈C<sup>m×n</sup> such that A=A<sub>1</sub>+A<sub>2</sub>j.Let A<sub>C</sub> denote the complexrepresentation of A,that is the 2m×2n complex matrix Ac=（（A<sub>1</sub>/A<sub>2</sub>）（-A<sub>2</sub>/A<sub>1</sub>））（see[1,2]）.We denote by A<sup>D</sup> the Drazin inverse of A∈H<sup>m×n</sup> which is the unique solution of the e-展开更多
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文摘Let H be the real quaternion field,C and R be the complex and real field respectively.Clearly R（?）C（?）H. Let H<sup>m×n</sup> denote the set of all m×n matrices over H.If A=(a<sub>rs</sub>)∈H<sup>m×n</sup>,then there exist A<sub>1</sub> and A<sub>2</sub>∈C<sup>m×n</sup> such that A=A<sub>1</sub>+A<sub>2</sub>j.Let A<sub>C</sub> denote the complexrepresentation of A,that is the 2m×2n complex matrix Ac=（（A<sub>1</sub>/A<sub>2</sub>）（-A<sub>2</sub>/A<sub>1</sub>））（see[1,2]）.We denote by A<sup>D</sup> the Drazin inverse of A∈H<sup>m×n</sup> which is the unique solution of the e-
