A New Derivation and Recursive Algorithm Based on Wronskian Matrix for Vandermonde Inverse Matrix
作者: Qun ZhouXinjian ZhangXiongwei LiuXinkai Chen
作者单位: 1School of Information Science and Engineering, Hunan International Economics University, Changsha, Hunan 410205, China
2College of Science, National University of Defense Technology, Changsha, Hunan 410073, China
刊名: Mathematical Problems in Engineering, 2015, Vol.2015
来源数据库: Hindawi Journal
DOI: 10.1155/2015/924757
原始语种摘要: For an analytical expression of Vandermonde inverse matrix, a new derivation process basedon Wronskian matrix and Lagrange interpolation polynomial basis is presented. Recursiveformula and implementation cases for the direct formula of Vandermonde inverse matrix aregiven based on deriving the unified formula of Wronskian inverse matrix. For the calculation ofsymbol-type Vandermonde inverse matrix, the direct formula and recursive method are verifiedto be more efficient than Mathematica which is good at symbolic computation by comparingthe computing time in Mathematica. The process and steps of recursive algorithm are relativelysimple. The derivation process and idea both have very important values in theory and practiceof Vandermonde and generalized Vandermonde inverse matrix.
全文获取路径: Hindawi 

  • Wronskian 朗斯基行列式
  • matrix 石基
  • derivation 导出
  • polynomial 多项式
  • inverse 逆的
  • process 过程
  • interpolation 内插法
  • formula 公式
  • efficient 有用的
  • symbolic 符号的