Maqola

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

Annotatsiya

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.

Mavzular

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

Identifikatorlar

DOI: 10.1134/s0361768823010036

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