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Recursive Matrix Calculation Paradigm by the Example of Structured Matrix

Institute of Computer Science, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, ul. Akademicka 16, 44-100 Gliwice, Poland
Information 2020, 11(1), 42; https://doi.org/10.3390/info11010042
Received: 1 December 2019 / Revised: 31 December 2019 / Accepted: 6 January 2020 / Published: 13 January 2020
(This article belongs to the Special Issue Selected Papers from ESM 2019)
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.). View Full-Text
Keywords: numerical recipes; numerical algebra; linear algebra; matrix inverse; generalized Vandermonde matrix; C++ numerical recipes; numerical algebra; linear algebra; matrix inverse; generalized Vandermonde matrix; C++
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Respondek, J.S. Recursive Matrix Calculation Paradigm by the Example of Structured Matrix. Information 2020, 11, 42.

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