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n阶线性非齐次微分方程初值问题的矩阵解法 被引量:1

A Matrix Solution to Differential Equation Initial Value Question of n Steps Wrong Uniform Number Linear Constant Index
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摘要 借助矩阵指数函数和状态转移矩阵的概念,结合线性代数和微分方程的有关结论,给出了n阶线性非齐次微分方程初值问题的矩阵解法。 A matrix solution has been worked out to n-step linear nonhomogeneous differential equation initial value by means of matrix index function and the concept of state shift matrix as well as the relevant conclusions regarding linear algebra and differential equation.
作者 曹玉平
出处 《唐山学院学报》 2010年第6期17-19,21,共4页 Journal of Tangshan University
关键词 线性非齐次微分方程 初值问题 矩阵解法 linear nonhomogeneous differential equation initial-value question matrix solution
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参考文献2

  • 1Gene H Golub,charles F Van Loan. Matrix Computalions [M].Baltimore:The Johns Hopkins University Press, 1983 : 107 - 124.
  • 2宣立新.高等数学:上册[M].北京:高等教育出版社.2002:191-192.

同被引文献7

  • 1Phillip Zhe Sun,Peter C.M. van Zijl,et al. Optimization ofthe irradiation power in chemical exchange dependent sat-uration transfer experiments [J].Journal of Magnetic Reso-nance,175 (2005) 193-200.
  • 2Phillip Zhe Sun.Simplified and scalable numerical solutionfor describing multi- pool chemical exchange saturationtransfer (CEST) MRI contrast [J].Journal of Magnetic Reso-nance,2010,205: 235-241.
  • 3Bjorck A.Numerical methods for least squares problems[M]. SIAM,Philadelphia,1996.
  • 4Tarantola A. Inverse problem theory and methods for mod-el parameter estimation [M]. Amsterdam: Elsevier,2009.
  • 5Andreas Kirsch. An Introduction to the Mathematical Theo-ry of Inverse Problem [M].New York: Springer- Verlag.1996.
  • 6曹玉平.n阶线性齐次常微分方程初值问题的矩阵解法[J].甘肃联合大学学报(自然科学版),2010,24(6):16-19. 被引量:1
  • 7闵涛,成瑶,胡刚,毕妍妍.Lorenz方程参数反演的L-M算法及灵敏度分析[J].科技通报,2012,28(11):18-22. 被引量:2

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