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The Multiplicity of Zeros of Algebraic System in Eigenvalue Method

The Multiplicity of Zeros of Algebraic System in Eigenvalue Method
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摘要 This article deals with the structure relations between solutions toalgebraic system and matrices in eigenvalue method for solving the algebraic system-The authors first discuss the condition on the ideal generated by the given systemunder which the eigenspace of matrix has dimension 1 since in this case the zerocan be easily found. Then they study the relations between the multiplicity of zerosof the given system and orders of Jordan blocks of matrices formed in eigenvaluemethod. This article deals with the structure relations between solutions toalgebraic system and matrices in eigenvalue method for solving the algebraic system-The authors first discuss the condition on the ideal generated by the given systemunder which the eigenspace of matrix has dimension 1 since in this case the zerocan be easily found. Then they study the relations between the multiplicity of zerosof the given system and orders of Jordan blocks of matrices formed in eigenvaluemethod.
机构地区 InstituteofMathematics
出处 《Journal of Computer Science & Technology》 SCIE EI CSCD 1999年第5期510-517,共8页 计算机科学技术学报(英文版)
关键词 STRUCTURE algebraic system eigenvalue method structure, algebraic system,eigenvalue method
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参考文献2

  • 1冯果忱,Numer Math J Chin Univ,1993年,2卷,2期,234页
  • 2冯果忱,Northeast Math J,1992年,8卷,3期,253页

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