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THE DOUBLE DETERMINANT OF VANDERMONDE'S TYPE OVER QUATERNION FIELD
作者姓名:侯仁民  赵旭强  王亮涛
作者单位:Hou Renmin (侯仁民),Zhao Xuqiang (赵旭强),Wang Liangtao (王亮涛) (Department of Mathematics and Information Science,Yantai University,Yantai 264000,P R China) (Communicated by Cheng Changjun)
摘    要:1 IntroductionandPreliminariesTherealVandermondematrixisausefultoolinthevibrationanalysisofstructureandthecomputingofdiscreteFouriertransformandthetheoryofcontrolandthedecentralizedstabilizationforlargescalesystemsandmanyotherpracticalfields[1~3],iti…

收稿时间:25 February 1998

The double determinant of Vandermonde's type over quaternion field
Hou Renmin,Zhao Xuqiang,Wang Liangtao.THE DOUBLE DETERMINANT OF VANDERMONDE'S TYPE OVER QUATERNION FIELD[J].Applied Mathematics and Mechanics(English Edition),1999,20(9):1046-1053.
Authors:Hou Renmin  Zhao Xuqiang  Wang Liangtao
Institution:(1) Department of Mathematics and Information Science, Yantai University, 264000 Yantai, P R China
Abstract:Based on the double determinant theory the problem about the determinant of Vandermonde's type over quaternion field is studied, and a necessary and sufficient condition that this double determinant is not equal to zero is got.
Keywords:quaternion field  double determinant  Vandermonde determinant
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