Recursive Matrix Calculation Paradigm by the Example of Structured Matrix

Information

JerzyS. Respondek¹ 

[1] Institute of Computer Science, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, ul. Akademicka 16, 44-100 Gliwice, Poland;

关键词: numerical recipes;    numerical algebra;    linear algebra;    matrix inverse;    generalized vandermonde matrix;    c++;   

DOI  :  10.3390/info11010042

来源: DOAJ

【 摘 要 】

In this paper, we derive recursive algorithms for calculating the determinant and inverse of the generalized Vandermonde matrix. The main advantage of the recursive algorithms is the fact that the computational complexity of the presented algorithm is better than calculating the determinant and the inverse by means of classical methods, developed for the general matrices. The results of this article do not require any symbolic calculations and, therefore, can be performed by a numerical algorithm implemented in a specialized (like Matlab or Mathematica) or general-purpose programming language (C, C++, Java, Pascal, Fortran, etc.).

【 授权许可】

Unknown