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mindspore.ops.svd

mindspore.ops.svd(input, full_matrices=False, compute_uv=True)

Computes the singular value decompositions of one or more matrices.

If $A$ is a matrix, the svd returns the singular values $S$, the left singular vectors $U$ and the right singular vectors $V$. It meets:

$$A=U\ast diag(S)\ast V^T$$

Parameters

• input (Tensor) – The input tensor, shape is $(\ast ,M,N)$.

• full_matrices (bool, optional) – If True , compute full-sized $U$ and $V$. If False, compute only the leading P singular vectors, with P is the minimum of M and N. Default False .

• compute_uv (bool, optional) – If True , compute the left and right singular vectors. If False, compute only the singular values. Default True .

Returns

If compute_uv is True , a tuple( s , u , v ) of tensors will be returned. Otherwise, only a single tensor -> s will be returned.

• s is the singular value tensor. The shape is $(\ast ,P)$.

• u is the left singular tensor. If compute_uv is False , u will not be returned. The shape is $(\ast ,M,P)$. If full_matrices is True , the shape will be $(\ast ,M,M)$.

• v is the right singular tensor. If compute_uv is False , v will not be returned. The shape is $(\ast ,N,P)$. If full_matrices is True , the shape will be $(\ast ,N,N)$.

Supported Platforms:

Ascend GPU CPU

Examples

>>> import mindspore
>>> input = mindspore.tensor([[1, 2], [-4, -5], [2, 1]], mindspore.float32)
>>> s, u, v = mindspore.ops.svd(input, full_matrices=True, compute_uv=True)
>>> print(s)
[7.0652843 1.040081 ]
>>> print(u)
[[ 0.30821905 -0.48819482  0.81649697]
 [-0.90613353  0.11070572  0.40824813]
 [ 0.2896955   0.8656849   0.4082479 ]]
>>> print(v)
[[ 0.63863593  0.769509  ]
 [ 0.769509   -0.63863593]]