Class BandOperator

source code

              object --+    
                       |    
interface.LinearOperator --+
                           |
                          BandOperator

Known Subclasses:

• LowerTriangularOperator
• , UpperTriangularOperator

Store a band matrix in ab format as defined in LAPACK
documentation.

a[i, j] is stored in ab[ku + 1 + i - j, j]

for max(1, j -ku) < i < min(m, j + kl)

Band storage of A (5, 5), kl = 2, ku = 1 :

 *  a01 a12 a23 a34
a00 a11 a22 a33 a44
a10 a21 a32 a43  *
a20 a31 a42  *   *

Arguments
----------
shape : 2-tuple
    Shape of the dense matrix equivalent.
kl : int
    Number of subdiagonals
ku : int
    Number of superdiagonals

Notes
-----
For a description of band matrices see LAPACK doc :

http://www.netlib.org/lapack/lug/node124.html

Generate a BandOperator instance

Arguments
---------
shape : 2-tuple
   The shape of the operator
ab : ndarray with ndim == 2
   Store the bands of the matrix using LAPACK storage scheme.
kl : int
    Number of subdiagonals
ku : int
    Number of superdiagonals