ZGBSVX Example

To solve the equations

AX = B,

where A is the band matrix

A = $$\left(\vphantom{ \begin{array}{cccc} -1.65 + 2.26 i & -2.05 - 0... ....33 - 1.04 i \\ 0 & 0 & 4.48 - 1.09 i & -0.46 - 1.72 i \end{array} }\right.$$$$\begin{array}{cccc} -1.65 + 2.26 i & -2.05 - 0.85 i & 0.97 - 2.8... ....94 i & 3.33 - 1.04 i \\ 0 & 0 & 4.48 - 1.09 i & -0.46 - 1.72 i \end{array}$$$$\left.\vphantom{ \begin{array}{cccc} -1.65 + 2.26 i & -2.05 - 0... ....33 - 1.04 i \\ 0 & 0 & 4.48 - 1.09 i & -0.46 - 1.72 i \end{array} }\right)$$

and

B = $$\left(\vphantom{ \begin{array}{cc} -1.06 + 21.50 i & 12.85 + 2.... ... -20.73 - 1.23 i \\ -34.56 + 16.73 i & 26.01 + 31.97 i \end{array} }\right.$$$$\begin{array}{cc} -1.06 + 21.50 i & 12.85 + 2.84 i \\ -22.72 ... ...38.60 i & -20.73 - 1.23 i \\ -34.56 + 16.73 i & 26.01 + 31.97 i \end{array}$$$$\left.\vphantom{ \begin{array}{cc} -1.06 + 21.50 i & 12.85 + 2.... ... -20.73 - 1.23 i \\ -34.56 + 16.73 i & 26.01 + 31.97 i \end{array} }\right)$$.

Estimates for the backward errors, forward errors, condition number and pivot growth are also output, together with information on the equilibration of A.

Example program
Example data
Example results