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The Stability of Quaternion Metrices and Their Judging Criteria
作者姓名:Feng Hailiang  Wu Junliang
作者单位:Feng Hailiang Wu Junliang
摘    要:Some conceptions of stable quaternion matrices and some judging criteria are given.The Robrach theorem,Taussky theorem,Ostrowski Schneider theorem and Gerschgorin theorem are generalized to quaternion field.The conclusion about two quaternion matrices,i.e.,inferior positive matrices are unstable,interior negative matrices are stable and some other results are pointed out.

关 键 词:quaternion  field  left(right)  stable  matrices  stable  matrices  judging  criterion

The Stability of Quaternion Metrices and Their Judging Criteria
Feng Hailiang,Wu Junliang.The Stability of Quaternion Metrices and Their Judging Criteria[J].Storage & Process,1997(6):108-113.
Authors:Feng Hailiang  Wu Junliang
Institution:Feng Hailiang Wu Junliang
Abstract:Some conceptions of stable quaternion matrices and some judging criteria are given.The Robrach theorem,Taussky theorem,Ostrowski Schneider theorem and Gerschgorin theorem are generalized to quaternion field.The conclusion about two quaternion matrices,i.e.,inferior positive matrices are unstable,interior negative matrices are stable and some other results are pointed out.
Keywords:quaternion  field  left(right)  stable  matrices  stable  matrices  judging  criterion
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