band - Maple Help

The band Indexing Function

Description

 • The band indexing function can be used to construct rtable objects of type Array or Matrix.
 • As a parameter to the Matrix constructor, this indexing function can take either of the following forms.
 1.  The band[b] indexing function specifies that the constructed object is a band Matrix with b non-zero subdiagonals and b non-zero superdiagonals.
 2.  The band[b1, b2] indexing function specifies that the constructed object is a band Matrix with b1 non-zero subdiagonals and b2 non-zero superdiagonals.
 The values of b1 and b2 are stored separately from the data in the Matrix data structure.
 • The specification is the same in the construction of an Array.

Examples

 > $M≔\mathrm{Matrix}\left(\left[\left[w,w,w\right],\left[x,x,x,x\right],\left[y,y,y,y\right],\left[z,z,z\right]\right],\mathrm{shape}=\mathrm{band}\left[1,2\right],\mathrm{scan}=\mathrm{band}\left[1,2\right]\right)$
 ${M}{≔}\left[\begin{array}{ccccc}{x}& {y}& {z}& {0}& {0}\\ {w}& {x}& {y}& {z}& {0}\\ {0}& {w}& {x}& {y}& {z}\\ {0}& {0}& {w}& {x}& {y}\end{array}\right]$ (1)