QR factorisation
[kyoo-aar fak-tor-i-zay-shuhn]
nounpl: QR factorisations
fatoração QR
1. A mathematical decomposition of a matrix into an orthogonal matrix (Q) and an upper triangular matrix (R), commonly used in linear algebra and numerical analysis
The QR factorisation is essential for solving least squares problems efficiently.
A fatoração QR é essencial para resolver problemas de mínimos quadrados de forma eficiente.
2. A computational technique used in many numerical algorithms, including eigenvalue computation and the solution of linear systems
We applied QR factorisation to stabilise the numerical solution of the system of equations.
Aplicamos fatoração QR para estabilizar a solução numérica do sistema de equações.
This is a highly technical mathematical term used primarily in academic and professional contexts in both Brazil and Portugal. The term is standardised across universities and research institutions. In Brazil, it is taught as part of linear algebra and numerical analysis courses. The British spelling 'factorisation' is more common in academic literature, while American English prefers 'factorization'.
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