Article

Computing Unimodular Matrices of Power Transformations

A. D. BrunoInstitute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, RussiaAlijon A. AzimovInstitute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

Programming and Computer Softwarejournal2023en

ABI

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 $${{\mathbb{R}}^{n}}$$ . 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.

Topics

Matrix Theory and Algorithms Polynomial and algebraic computation Advanced Optimization Algorithms Research

Identifiers

DOI: 10.1134/s0361768823010036

Citations and references

Cited by 5 6 references

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