QR factorization
[/ˌkjuː ˈɑːr ˌfæktərɪˈzeɪʃən/]
nounpl: QR factorizations
fatoração QR
1. A mathematical decomposition of a matrix into an orthogonal matrix Q and an upper triangular matrix R, commonly used in numerical linear algebra and solving linear systems
The QR factorization is widely used in computer graphics and least squares problems.
A fatoração QR é amplamente utilizada em gráficos de computador e problemas de mínimos quadrados.
2. A numerical technique for decomposing a rectangular matrix A as the product of an orthogonal (or unitary) matrix Q and an upper triangular matrix R
We applied QR factorization to solve the overdetermined system of linear equations.
Aplicamos fatoração QR para resolver o sistema overdeterminado de equações lineares.
QR factorization is a fundamental concept in computational mathematics taught in universities across both Brazil and the USA. In Brazilian academic settings, it appears frequently in engineering, computer science, and mathematics courses. The term is domain-specific and maintains consistent terminology across Portuguese and English-speaking scientific communities, making it a key concept in STEM education globally.
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