期刊文献+

Computational Aspect For Function-Valued Padé-Type Approximation

Computational Aspect For Function-Valued Padé-Type Approximation
下载PDF
导出
摘要 The computational problems of two special determinants are investigated. Those determinants appear in the construction of the function-valued Pade-type approximation for computing Fredholm integral equation of the second kind. The main tool to be used in this paper is the well-known Schur complement theorem. The computational problems of two special determinants are investigated. Those determinants appear in the construction of the function-valued Padé-type approximation for computing Fredholm integral equation of the second kind. The main tool to be used in this paper is the well-known Schur complement theorem.
基金 The work is supported by the National Natural Science Foundation of China (10271074) by the Special Funds for Major Specialities of Shanghai Education Committee.
关键词 函数值Padé逼近 计算问题 行列式 Schur余角定理 Function-valued Padé-type approximation Fredholm integral equation ofthe second kind determinant Schur complement.
  • 相关文献

参考文献2

二级参考文献8

  • 1Meurant G. A review on the inverse of symmetric tridiagonal and block tridiagonal matrices[J]. SIAM J Matrix Anal Appl,1992,13:707 - 728.
  • 2Fonseca C M da, Petronilho J. Explicit inverses of some tridiagonal matrices[ J]. Linear Algebra Appl,2001,325:7 - 21.
  • 3Golub G H, Van Loan C F. Matrix Computation(the third ed. )[ M]. Beijing:the Science Press,2001.27 -30.
  • 4Ding L J. Numerical computing method[ M]. Beijing:Sci and Eng Univ Press, 1997. 26- 28.
  • 5Liu Chang-xue. Computing method of the super large-scale sparse matrices[ M ]. Shanghai:Shanghai Sci and Tech Press, 1991.224 -225.
  • 6Inderjit S Dhillon. Reliable computation of the condition number of a tridiagonal matrix in O (n) time[ J]. SIAM J Matrix Anal Appl,1998,19(3) :776 - 796.
  • 7顾传青,李春景.用于积分方程解的广义逆函数值Padé逼近的计算公式[J].应用数学和力学,2001,22(9):952-958. 被引量:12
  • 8李春景,顾传青.用于积分方程解的广义逆函数值Padé 逼近的ε-算法和η-算法[J].应用数学和力学,2003,24(2):197-204. 被引量:6

共引文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部