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COMPUTING UNIMODULAR MATRICES OF POWER TRANSFORMATIONS
- Authors: BRUNO A.D.1, AZIMOV A.A.2
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Affiliations:
- Institute of Applied Mathematics, Russian Academy of Sciences
- Samarkand State University
- Issue: No 1 (2023)
- Pages: 38-47
- Section: КОМПЬЮТЕРНАЯ АЛГЕБРА
- URL: https://ruspoj.com/0132-3474/article/view/675761
- DOI: https://doi.org/10.31857/S013234742301003X
- EDN: https://elibrary.ru/GRRDJF
- ID: 675761
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Abstract
An algorithm for solving the following problem is described. Let m < n integer vectors in the n-dimensional real space be given. Their linear span forms a linear subspace L in R. It is required to find a unimodular matrix such that the linear transformation defined by it takes the subspace L into a coordinate subspace. Computer programs implementing the proposed algorithms and the power transforms for which they are designed are described.
About the authors
A. D. BRUNO
Institute of Applied Mathematics, Russian Academy of Sciences
Email: abruno@keldysh.ru
Moscow, Russia
A. A. AZIMOV
Samarkand State University
Author for correspondence.
Email: Azimov_Alijon_Akhmadovich@mail.ru
Samarkand, Uzbekistan
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