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# scipy.linalg.cholesky_banded

`scipy.linalg.``cholesky_banded`(ab, overwrite_ab=False, lower=False)

  Cholesky decompose a banded Hermitian positive-definite matrix

  The matrix a is stored in ab either in lower diagonal or upper diagonal ordered form:

  > ab[u + i - j, j] == a[i,j] (if upper form; i <= j) ab[ i - j, j] == a[i,j] (if lower form; i >= j)

  Example of ab (shape of a is (6,6), u=2):

      upper form:
      *   *   a02 a13 a24 a35
      *   a01 a12 a23 a34 a45
      a00 a11 a22 a33 a44 a55

      lower form:
      a00 a11 a22 a33 a44 a55
      a10 a21 a32 a43 a54 *
      a20 a31 a42 a53 *   *

  Parameters : | ab : array, shape (u + 1, M) Banded matrix overwrite_ab : boolean Discard data in ab (may enhance performance) lower : boolean Is the matrix in the lower form. (Default is upper form)
  Returns : | c : array, shape (u+1, M) Cholesky factorization of a, in the same banded format as ab

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