Example 1

The band storage scheme is illustrated by the following example, where $n=9$ and $kd = 2$, making $size({\bf AB},1) = 3$ and $size({\bf AB},2) = 9$:

$$A = \left( \begin{array}{rrrrrrrrr} a_{11} & a_{12} & a_{13... ...\\ & & & & & & a_{97} & a_{98} & a_{99} \end{array} \right)$$

where $a_{ij} = \mbox{conjg}(a_{ji}) \;\; \mbox{for} \;\; i,j = 1, \cdots, 9.$

Banded storage of $A$ when UPLO = 'U':

$$\begin{array}{c} {\bf AB} \;\; \mbox{on} \;\; \mbox{entry} ... ...} & a_{77} & a_{88} & a_{99} \\ \hline \end{array} \end{array}$$

Banded storage of $A$ when UPLO = 'L':

$$\begin{array}{c} {\bf AB} \;\; \mbox{on} \;\; \mbox{entry} ... ..._{86} & a_{97} & \ast & \ast \\ \hline \end{array} \end{array}$$

Array elements marked $\ast$ are not used by the routine.