Editing Band matrix (section)

==Examples==

*A band matrix with ''k''<sub>1</sub> = ''k''<sub>2</sub> = 0 is a [[diagonal matrix]], with bandwidth 0.
*A band matrix with ''k''<sub>1</sub> = ''k''<sub>2</sub> = 1 is a [[tridiagonal matrix]], with bandwidth 1.
*For ''k''<sub>1</sub> = ''k''<sub>2</sub> = 2 one has a pentadiagonal matrix and so on. 
*[[triangular matrix|Triangular matrices]]
**For ''k''<sub>1</sub> = 0, ''k''<sub>2</sub> = ''n''&minus;1, one obtains the definition of an upper [[triangular matrix]]
**similarly, for ''k''<sub>1</sub> = ''n''&minus;1, ''k''<sub>2</sub> = 0 one obtains a lower triangular matrix.
* Upper and lower [[Hessenberg matrix|Hessenberg matrices]]
* [[Toeplitz matrices]] when bandwidth is limited.
* [[block-diagonal matrix|Block diagonal matrices]]
* [[shift matrix|Shift matrices]] and [[shear matrix|shear matrices]]
* Matrices in [[Jordan normal form]]
* A [[skyline matrix]], also called "variable band matrix"{{snd}}a generalization of band matrix
* The inverses of [[Lehmer matrix|Lehmer matrices]] are constant tridiagonal matrices, and are thus band matrices.