Givens rotation
= Givens rotation
{wiki=Givens_rotation}
Givens rotation is a mathematical technique used in linear algebra for rotating vectors in two-dimensional space. It is particularly useful in the context of QR decomposition, a method for factorizing a matrix into the product of an orthogonal matrix (Q) and an upper triangular matrix (R). A Givens rotation is defined by a rotation matrix that can be constructed using two elements \\( (a, b) \\) of a vector or matrix.