cupy.linalg.qr¶

cupy.linalg.qr(a, mode='reduced')[source]¶

QR decomposition.

Decompose a given two-dimensional matrix into Q * R, where Q is an orthonormal and R is an upper-triangular matrix.

Parameters:	a (cupy.ndarray) – The input matrix. mode (str) – The mode of decomposition. Currently ‘reduced’, ‘complete’, ‘r’, and ‘raw’ modes are supported. The default mode is ‘reduced’, in which matrix `A = (M, N)` is decomposed into `Q`, `R` with dimensions `(M, K)`, `(K, N)`, where `K = min(M, N)`.
Returns:	Although the type of returned object depends on the mode, it returns a tuple of `(Q, R)` by default. For details, please see the document of `numpy.linalg.qr()`.
Return type:	cupy.ndarray, or tuple of ndarray