QR decomposition
[/kjuː ɑːr ˌdɛkəmˈpoʊzɪʃən/]
nounpl: QR decompositions
decomposição QR
1. A matrix decomposition technique in linear algebra where a matrix A is factored into an orthogonal matrix Q and an upper triangular matrix R, such that A = QR
The QR decomposition is widely used in numerical linear algebra to solve least squares problems efficiently.
A decomposição QR é amplamente utilizada em álgebra linear numérica para resolver problemas de mínimos quadrados de forma eficiente.
2. A mathematical method used in computational applications including solving systems of linear equations, eigenvalue calculations, and statistical analysis
Many statistical software packages use QR decomposition internally for computing regression coefficients.
Muitos pacotes de software estatístico usam decomposição QR internamente para calcular coeficientes de regressão.
QR decomposition is a specialized mathematical term used primarily in academic, engineering, and scientific computing contexts. It is taught in advanced linear algebra courses in both Brazilian and Portuguese universities. In the United States, it is fundamental in computer science and engineering curricula. The term is transliterated rather than translated in Portuguese-speaking countries, maintaining the 'QR' acronym which stands for 'Orthogonal-Triangular' decomposition.
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