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scipy.linalg.

# diagsvd

scipy.linalg.diagsvd(s, M, N)

  Construct the sigma matrix in SVD from singular values and size M, N.

  The documentation is written assuming array arguments are of specified “core” shapes. However, array argument(s) of this function may have additional “batch” dimensions prepended to the core shape. In this case, the array is treated as a batch of lower-dimensional slices; see Batched Linear Operations for details.

  Parameters:
    s(M,) or (N,) array_like

      Singular values

    Mint

      Size of the matrix whose singular values are s.

    Nint

      Size of the matrix whose singular values are s.

  Returns:
    S(M, N) ndarray

      The S-matrix in the singular value decomposition

  See also

  `svd`

    Singular value decomposition of a matrix

  `svdvals`

    Compute singular values of a matrix.

  Examples

      >>> import numpy as np
      >>> from scipy.linalg import diagsvd
      >>> vals = np.array([1, 2, 3])  # The array representing the computed svd
      >>> diagsvd(vals, 3, 4)
      array([[1, 0, 0, 0],
             [0, 2, 0, 0],
             [0, 0, 3, 0]])
      >>> diagsvd(vals, 4, 3)
      array([[1, 0, 0],
             [0, 2, 0],
             [0, 0, 3],
             [0, 0, 0]])