Example (from Program LA_SBGVX

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Example (from Program LA_SBGVX_EXAMPLE)

The results below are computed with $\epsilon = 1.19209 \times 10^{-7}$ .
Matrices

and

are the same as in Example 1 for LA_SBGV.

The call:
CALL LA_SBGVX( A, B, W, Z=Z, VL=0.0_wp, VU=100.0_wp, M=M, Q=Q )^8.2

${\bf W, M}$ and Q on exit:

$\begin{displaymath} \begin{array}{cc} {\bf W} \\ \begin{array}{\vert rrrrr\ve... ...ray}{c} \\ \begin{array}{c} {\bf M} = 3 \end{array} \end{array}\end{displaymath}$

$\begin{displaymath} \begin{array}{cc} {\bf Q} \\ \begin{array}{\vert crrrr\ver... ...-1} & 6.26144 \times 10^{-2} \\ \hline \end{array} \end{array}\end{displaymath}$

The three eigenvalues in the range are:

$\begin{displaymath}\left( \begin{array}{lll} 3.37961 \times 10^{-1} & 8.63341 \times 10^{-1} & 1.12617 \end{array} \right). \end{displaymath}$

The matrix used in the reduction of $A z = \lambda B z$ to tridiagonal form is:

$\begin{displaymath}Q = \left( \begin{array}{crrrr} 3.16228 \times 10^{-1} & -1.0... ...\times 10^{-1} & 6.26144 \times 10^{-2} \end{array} \right). \end{displaymath}$

Susan Blackford 2001-08-19