A New Derivation and Recursive Algorithm Based on Wronskian Matrix for Vandermonde Inverse Matrix
Joint Authors
Liu, Xiongwei
Zhang, Xinjian
Zhou, Qun
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-12
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhou, Qun& Zhang, Xinjian& Liu, Xiongwei. 2015. A New Derivation and Recursive Algorithm Based on Wronskian Matrix for Vandermonde Inverse Matrix. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1075076
Modern Language Association (MLA)
Zhang, Xinjian…[et al.]. A New Derivation and Recursive Algorithm Based on Wronskian Matrix for Vandermonde Inverse Matrix. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1075076
American Medical Association (AMA)
Zhou, Qun& Zhang, Xinjian& Liu, Xiongwei. A New Derivation and Recursive Algorithm Based on Wronskian Matrix for Vandermonde Inverse Matrix. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1075076
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075076