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主轴内蕴法与高维张量方程AX—XA=C*

梁浩云

梁浩云. 主轴内蕴法与高维张量方程AX—XA=C*[J]. 应用数学和力学, 1996, 17(10): 889-894.
引用本文: 梁浩云. 主轴内蕴法与高维张量方程AX—XA=C*[J]. 应用数学和力学, 1996, 17(10): 889-894.
Liang Haoyun. Principal Axis intrinsic Method and the High Dimensional Tensor Equation AX-XA=C[J]. Applied Mathematics and Mechanics, 1996, 17(10): 889-894.
Citation: Liang Haoyun. Principal Axis intrinsic Method and the High Dimensional Tensor Equation AX-XA=C[J]. Applied Mathematics and Mechanics, 1996, 17(10): 889-894.

主轴内蕴法与高维张量方程AX—XA=C*

基金项目: * 广东省科学基金

Principal Axis intrinsic Method and the High Dimensional Tensor Equation AX-XA=C

  • 摘要: 本文将主轴内蕴法推广到高维空间,并讨论了高维张量方程AX-XA=C的解。
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    [3] Guo Zhongheng,Rates of stretch tensors,J.Elasticity,14 (1984),263.
    [4] 梁浩云,从主轴表示到抽象表示,力学进展;20(3) (1990),303.
    [5] 梁浩云,连续介质基本主标架旋率的绝对表示,应用数学和力学,12(1) (1991),39.
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    [16] D.E.Rutherford,On the solution of the matrix equation AX-XB=C,Nederl.Akad.Wtensch.Proc.,Ser.A,35 (1932),53.
    [17] W.E.Roth,The equations AX-YB=C and AX-XB=C in matrices,Proc.Rarer.Math.Soc.,3(1952),392.
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    [20] R.A.Smith,Matrix equation XA+BX=C,SIAM J.Appl.Math.,16 (1968),198.
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  • 被引次数: 0
出版历程
  • 收稿日期:  1996-03-06
  • 刊出日期:  1996-10-15

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