next up previous contents index
Next: Test Driver Previous: Error Estimates.

Other Convergence Histories.

For the cases IGRSW=11 and IGRSW=12, GPHPLT plots the convergence history  of other iterations implemented in PLTMG which are sometimes of interest. For the case IGRSW=11, the convergence history for the function

displaymath8944

which measures the increment to the singular vector as a function of inverse iteration index k. (since these vectors are always normalized to have unit length in tex2html_wrap_inline8960 , we need not consider the relative change). If ISPD=0 then the displayed quantity is the larger of the changes in the left and right singular vectors.

For the case IGRSW=12, GPHPLT displays the convergence of the upper and lower bounds for the guarded secant/bisection iteration for computing singular points, as described in Section gif. In particular, we graph the functions

eqnarray2855

Here tex2html_wrap_inline8968 and tex2html_wrap_inline8970 are the singular values at the upper and lower bounds of the interval (in tex2html_wrap_inline5194 ) known to contain tex2html_wrap_inline7290 . In the graph, iterates for the upper bound are marked with red triangles, and iterates for the lower bound are marked with blue triangles.

   figure2867
Figure: GPHPLT output for IGRSW=2.



Randolph E. Bank
Fri Apr 4 12:02:05 PST 1997